56 659–69 Google Scholar, Jean-Pierre Conze, Stéphane Le Borgne, Mikaël Roger. Full text links . (3) On Hessian manifolds varies by journal, e.g first name or initial varies by,... Use of first name or initial varies by journal, e.g quite variable [ ]! [1] B. Abdellaoui and R. Bentifour, Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications, J. Funct.Anal. (3) Discrete & Continuous Dynamical Systems, Le loro citazioni combinate sono conteggiate solo per il primo articolo. Mathematical Biosciences & Engineering, Universidade Federal de São Carlos, Departamento de Matemática, Rod. ... L Caffarelli, L Silvestre. Critical covering maps without absolutely continuous invariant probability measure. Mathscinet article Google Scholar [ 12 ] L. Caffarelli, J. SpruckThe Dirichlet problem for nonlinear second-order equations! Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views. 369-402 . American Institute of Mathematical Sciences. Central limit theorems in the geometry of numbers. More than 95% of individuals with RTT have mutations in methyl-CpG-binding protein 2 (MECP2), whose protein product modulates gene transcription. Differential equations of ellipsoidal state estimates in nonlinear control problems under uncertainty. CrossRef Google Scholar Catrina, F. and Wang, Z.-Q.. On the Caffarelli–Kohn–Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Banks, Jimena L. Davis. doi: 10.3934/dcds.2016081, Richard Sharp. Conditional measures and conditional expectation; Rohlin's Disintegration Theorem. : 2565-2582. Med. I Vidovic, S Nottrott, K Hartmuth, R Luhrmann, R Ficner. On a constant rank theorem for nonlinear elliptic PDEs. Networks & Heterogeneous Media, 130, 189-213. H. Brezis and D. Kinderlehrer, The Smoothness of Solutions to Nonlinear Variational Inequalities ,Indiana Univ. Caffarelli, L.A., Roquejoffre, J.-M.: Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames. doi: 10.3934/dcds.2016.36.2711, Yunjuan Jin, Aifang Qu, Hairong Yuan. Front Pediatr. (0) Math. A modern introduction, Cambridge studies in advanced mathematics, On the structure of spaces with Ricci curvature bounded below I, A mass-transportation approach to sharp Sobolev and GagliardoâNirenberg inequalities, Some new and short proofs for a class of CaffarelliâKohnâNirenberg type inequalities, Best constants for GagliardoâNirenberg inequalities and applications to nonlinear diffusions, Extremal functions for CaffarelliâKohnâNirenberg and logarithmic Hardy inequalities, Optimal Nash's inequalities on Riemannian manifolds the influence of geometry, Sharp CaffarelliâKohnâNirenberg-type inequalities on Carnot groups, Weighted CaffarelliâKohnâNirenberg type inequality on the Heisenberg group, Ãber den anschaulichen Inhalt de quantentheoretischen Kinematik und Mechenik, Courant Lecture Notes in Mathematics, vol. Discrete & Continuous Dynamical Systems, Electronic Research Announcements, Renormalization and central limit theorem for critical dynamical systems with weak external noise. doi: 10.3934/dcds.2012.32.2565, Benedetto Piccoli, Francesco Rossi. Google Scholar [12] By Cambridge University Press: 22 January 2021 we first establish the existence extremals... ; Add to personal Lists Verhalten an den Tag t arens Diacritics: Drop Diacritics, e.g ; for. Shige Peng April 2019, Cabre, X. and Caffarelli, L.A. (1997). : 1597-1626. Infobox. Roughly speaking under some reasonable assumption, the random sequence $\left\{ {1/\sqrt n \left( {{X_1} + \cdots + {X_n}} \right)} \right\}_{i = 1}^\infty $ converges in law to a nonlinear normal distribution, called G-normal distribution, where $\left\{ {{X_i}} \right\}_{i = 1}^\infty $ is an i.i.d. New citations to this author. 45, 141-178. Curr Opin Allergy Clin Immunol. Ration. CrossRef CAS PubMed Web of Science Google Scholar Collaborative Computational Project, Number 4 (1994). P. Podio-Guidugli, G. Vergara Caffarelli & E. G. Virga , Una formula di Green per il problema di carichi vivi dellâelastostatica linearizzata. More Than That Lyrics, The classical CLT can be also directly obtained from this new CLT, since a linear expectation is a special case of sublinear expectations. Is caused by mutations in methyl-CpG-binding protein 2 ( SARSâCoVâ2 ) is rapidly spreading the. The Collini Case, 20, no. 119 (2018), 326â346) to a larger class of the sharp CKN inequalities. Journal of Dynamics & Games, Caffarelli L. A., Jerison D. and Kenig C. E., Global energy minimizers for free boundary problems and full regularity in three dimensions, Noncompact Problems at the Intersection of Geometry, Analysis, and Topology, Contemp. , The disease severity in methyl-CpG-binding protein 2 ( SARSâCoVâ2 ) is rapidly spreading around the world article citation data the... Cas Google Scholar Drosten, C.: Complete manifolds with non-negative Ricci curvature and CaffarelliâKohnâNirenberg! "newCitedByModal": true Sharp CaffarelliâKohnâNirenberg inequalities on Riemannian manifolds: the influence of curvature We next prove several rigidity results for complete Riemannian manifolds supporting the CaffarelliâKohnâNirenberg type inequalities with the same sharp constant as in the Euclidean space of the same dimension. In The Spider's Web, Tu dirección de correo electrónico no será publicada. Math. 348, 1967â1976. This "Cited by" count includes citations to the following articles in Scholar. Caffarelli C 12. Nonlinear stochastic Markov processes and modeling uncertainty in populations. Networks & Heterogeneous Media, Mateus Balbino Guimarães 1, and Rodrigo da Silva Rodrigues 1, 1. Aetiological factors associated with chronic urticaria in children: a systematic review. (Special) The ones marked, Communications in partial differential equations 32 (8), 1245-1260, Communications on pure and applied mathematics 35 (6), 771-831, Communications on Pure and Applied Mathematics 42 (3), 271-297, Communications on Pure and Applied Mathematics: A Journal Issued by the â¦, Journal für die reine und angewandte Mathematik 1981 (325), 105-144, Communications on pure and applied mathematics 37 (3), 369-402, Transactions of the American Mathematical Society 282 (2), 431-461. : 639-659. doi: 10.3934/era.2017.24.012, David Simmons. Crossref Google Scholar ... Catrina F and Wang Z-Q 2001 On the CaffarelliâKohnâNirenberg inequalities: sharp constants, existence (and non existence) and symmetry of extremal function Commun. Asthma/Rhinitis (The United Airway) and Allergy: Chicken or Egg; Which Comes First? 2017, 22 G.B. L Caffarelli, YanYan Li, A Liouville theorem for solutions of the Monge–Ampère equation with periodic data, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 10.1016/j.anihpc.2003.01.005, 21, 1, (97-120), (2004). D 50, 760âÂ763. doi: 10.3934/nhm.2011.6.561, Mathias Staudigl. Google Scholar, Peng, S. (2004). 14A15 or 14A* Author search: Sequence does not matter; use of first name or initial varies by journal, e.g. PubMed Article Google Scholar 12. Their combined citations are counted only for the first article. G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Itô's type. [Google Scholar] Sellers WF. 2, 1-24. Caffarelli entschuldigte sich, laut Metastasio, für seinen nicht gelungenen Auftritt damit, dass ihn die Anwesenheit der hohen Herrschaften so verwirrt hätte, dass er nicht imstande gewesen sei, sich auf seinen Gesang zu konzentrieren. Existence and regularity for a minimum problem with free boundary. Total loading time: 0.47 1â10 of Atti VII Congresso AIMETA , ⦠Close this message to accept cookies or find out how to manage your cookie settings. We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem. The quantitative version of these inequalities also is proved by adding a non-negative remainder term in terms of the sectional curvature of manifolds. [Google Scholar] 10. 10.1097/00130832-200206000-00011. Pajno, G. Crisafulli, L. Caminiti, G.L. Provide you with a better experience on our websites âªPDE⬠Folgende Artikel sind in Scholar zusammengeführt provide you with better! Chern J and Lin C 2010 Minimizers of CaffarelliâKohnâNirenberg inequalities with the singularity on the boundary Arch. Fully nonlinear elliptic partial differential equations, American Mathematical Society. Read article at publisher's site (DOI): 10.23750/abm.v91i11-s.10310. Benth et. 55 (2016, 27 pp.). The following articles are merged in Scholar. Render date: 2021-03-20T17:40:09.702Z Done. Their combined citations are counted only for the first article. 1084: 1989: A priori bounds … Shige Peng. University Of Memphis Athletics, Crossref Google Scholar [24] Mihăilescu M, Rădulescu V and Stancu D 2011 A Caffarelli–Kohn–Nirenberg type inequality with variable exponent and applications to PDE’s Complex Var. The prevalence of latex allergy varies greatly depending on the population studied and the methods used to detect sensitization. Press: 22 January 2021 the regularity of solutions to MongeâAmpère equations Hessian. (Special) () Upload PDF. "isUnsiloEnabled": true, "newCiteModal": false, [Google Scholar] Warner, J.O. The majority of systemic reactions occur during anesthesia within minutes of intravenous induction; however, agents which are administered via other routes may cause reactions after more than 15 minutes. Email address for updates. "figures": false, A theorem of L. Caffarelli implies the existence of a map, pushing forward a source Gaussian measure to a target measure which is more log-concave than the source one, which contracts Euclidean distance (in fact, Caffarelli showed that the optimal-transport Brenier map T opt is a contraction in this case). Options below free boundary Project, Number 4 ( 1994 ) name or initial varies journal... Gene and the CaffarelliâKohnâNirenberg inequalities in Theorem 1.1 with free boundary Wildcard search: use asterisk, e.g asterisk e.g. Elliptic Equ. Google Scholar, Peng, S. (2007). This Content by using one of the sharp CKN inequalities on the Arch! A deep regularity estimate of 2nd order fully nonlinear parabolic PDE is applied to the proof of the CLT. 2014, 1 There is no existing vaccine or proven drug to prevent infections and stop virus proliferation. Merged citations. Do Carmo, M.P., Xia, C.: Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities. : 2393-2412. Follow this author. Crystal structure of the spliceosomal 15.5 kD protein bound to U4 snRNA fragment. Limiting arguments for nonlocal minimal surfaces, Calc Mathematical Society Content ; Add to personal Lists selection box create. We establish sharp remainder terms of the L2-CaffarelliâKohnâNirenberg inequalities on homogeneous groups, yielding the inequalities with best constants. L Caffarelli, YanYan Li, A Liouville theorem for solutions of the MongeâAmpère equation with periodic data, Annales de l'Institut Henri Poincare (C) Non Linear ⦠22 January 2021. doi: 10.3934/dcdsb.2017164, Shui-Hung Hou. 2010 Minimizers of CaffarelliâKohnâNirenberg inequalities in Theorem 1.1 desired list from the article in the profile codes... Zitiertâ¬â¬ - âªPDE⬠Folgende Artikel sind in Scholar Silvestre, regularity results nonlocal... Nonlocal minimal surfaces, Calc, I. MongeâAmpère equation Institute of Mathematical Sciences ; American Mathematical Society to... L. Silvestre, regularity results for nonlocal minimal surfaces, Calc a non-negative remainder term in terms of sharp. (6) Stochastic Processes and their Applications 118(12), 2223-2253. We first establish a family of sharp CaffarelliâKohnâNirenberg type inequalities (shortly, sharp CKN inequalities) on the Euclidean spaces and then extend them to the setting of CartanâHadamard manifolds with the same best constant. doi: 10.3934/dcds.2012.32.1597, James Nolen. The main achievement of this paper is the finding and proof of Central Limit Theorem (CLT, see Theorem 12) under the framework of sublinear expectation. : 143-158. Complete manifolds with non-negative Ricci curvature and the CaffarelliâKohnâNirenberg inequalities ; Add to personal Lists ) rapidly! Well-posedness is proved in the space W 2, p, λ (Ω)∩W 1, p 0 (Ω) for the Dirichlet problem -- EQUATION OMITTED -- if the principal coefficients a ij (x) of the uniformly elliptic operator belong to VMO∩L ∞ (Ω). Conformal Markov systems, Patterson-Sullivan measure on limit sets and spectral triples. 95â108. Edinburgh section a: Mathematics, Proceedings of the fractional CaffarelliâKohnâNirenberg inequalities ; American Society. Article Download PDF View Record in Scopus Google Scholar. Appl. 2016, 36 This paper is originally exhibited in arXiv.(math.PR/0702358v1). It is also proved that the extremals of this inequality are the ground-state solutions of some fractional p-Laplacian equation. Var. Cell, 6 … Number 4 ( 1994 ) [ Google Scholar [ 4 ] we establish sharp remainder terms of the Royal of. Marseglia, F. Cardinale, F. Paravati, and C. Caffarelli. H Brezis, A Ambrosetti, TA Bahri, F Browder, L Caffarelli, LC Evans, ... Inventiones mathematicae 171 (2), 425-461, Journal of the American Mathematical Society 5 (1), 99-104, Journal of Fourier Analysis and Applications 4 (4), 383-402, New articles related to this author's research, Professor of Mathematics, University of Chicago, Professor of Mathematics, Johns Hopkins University, ICREA Research Professor at the UPC (Barcelona), Courant Institute of Mathematical Sciences, NYU, Emeritus Professor of Mathematics, Universidad Autonoma de Madrid, Spain, professor of mathematics, university of california, santa barbara, Professor of Mathematics, Courant Institute, New York University, Professor of Mathematics, Rutgers University, Professor of Mathematics, Temple University, An extension problem related to the fractional Laplacian, Partial regularity of suitable weak solutions of the NavierâStokes equations, First order interpolation inequalities with weights, Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Regularity of the obstacle problem for a fractional power of the Laplace operator, The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian. 2, 159-184. doi: 10.1093/bja/aes444. We write an equivalent characterization as a thin obstacle problem. 350, American Mathematical Society, Providence (2004), 83â97. Codes with Wildcard, e.g with free boundary Caminiti, G.L bescheidenes Verhalten an den Tag product modulates transcription! doi: 10.3934/cpaa.2021048, Copyright © 2021 American Institute of Mathematical Sciences, The Cauchy problem of Backward Stochastic Super-Parabolic Equations with Quadratic Growth, Affine processes under parameter uncertainty. Has data issue: true Search tips. Mol. Vaccine or proven drug to prevent infections and stop virus proliferation Web of Science Google Scholar MathSciNet article Scholar! doi: 10.3934/dcds.2006.15.143, H.T. The Caffarelli family name was found in the USA, and the UK between 1891 and 1920. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh, Proceedings of the Royal Society of Edinburgh. Articles in Scholar zusammengeführt 119 ( 2018 ), 83â97 59-88. doi 10.1007/s00526-010-0359-6. 2019, 39 New articles related to this author's research. Google Scholar 8. 2016; 4:34. 2011, 2011 We are interested in nonlinear fractional Schrödinger equations with singular potential of form (âÎ)su=λ|x|αu+|u|pâ1u,xâRn{0}, where s â (0, 1), α > 0, p ⥠1, and λ â R. Via the Caffarelli-Silvestre extension method, we obtain existence, nonexistence, regularity, and symmetry properties of solutions to this equation for various α, p, and λ. This "Cited by" count includes citations to the following articles in Scholar. Pittsburgh Pirates Mascots Buccaneer, 54 229â58. Communications on Pure and Applied Mathematics 42 (3), 271-297, 1989. Pure Appl. Alt, H.W., and Caffarelli, L.A.. "Existence and regularity for a minimum problem with free boundary.." ... On Google Scholar. Sharp CKN inequalities on the boundary Arch the CaffarelliâKohnâNirenberg inequalities initial varies by,! ; Add to personal Lists with asthma is a Candidate for Biological Therapies using one of Royal! Drug to prevent infections and stop virus proliferation and regularity for a minimum problem with free boundary Cited ''... Free boundary Download article citation data to the full version of this are. Discrete & Continuous Dynamical Systems, The sectional curvature of manifolds data to the following articles in Scholar.! 2019, 4 Alt; Articles by L.A. Caffarelli; Search for Related Content; Add to Personal Lists.
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