\(W^{1,N}\) versus \(C^1\) local minimizers for elliptic functionals with critical growth in \(\mathbb R^N\)

DOI10.1016/j.crma.2009.01.010zbMath1163.35008OpenAlexW2067610807MaRDI QIDQ1009524

S. Prashanth, Jacques Giacomoni, Konijeti Sreenadh

Publication date: 2 April 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.01.010

zbMATH Keywords

local minimizersuniform boundelliptic functionals

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Related Items

Critical concave convex Ambrosetti-Prodi type problems for fractional \(\mathrm{p} \)-Laplacian, OnW^1,pversusC¹(Ω) local minimizers for functionals with critical growth, On multiplicity of positive solutions forN-Laplacian with singular and critical nonlinearity, Nonlinear elliptic equations with singular terms and combined nonlinearities, Existence of positive solution to Schrödinger-type semipositone problems with mixed nonlinear boundary conditions, Multiple positive solutions for a quasilinear elliptic equation with critical exponential nonlinearity, Critical fractional elliptic equations with exponential growth, OnW^1, p(x)versus C¹local minimizers of functionals related top(x)-Laplacian, \(W^{1,p}_0\) versus \(C^1\) local minimizers for a singular and critical functional, Existence of multiple solutions for a singular and quasilinear equation

Cites Work

• A global multiplicity result for \(N\)-Laplacian with critical nonlinearity of concave-convex type
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Boundary regularity for solutions of degenerate elliptic equations
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
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