OnW1,pversusC1(Ω) local minimizers for functionals with critical growth

DOI10.1080/00036811.2011.581234zbMath1254.49001OpenAlexW1963715567MaRDI QIDQ3167669

Bhatia Sumit Kaur, Sweta Tiwari, Konijeti Sreenadh

Publication date: 2 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.581234

zbMATH Keywords

critical exponentquasilinear equationsnonlinear Neumann boundary condition\(C^1(\overline{\Omega})\) local minimizers\(W^{1,p_1}(\Omega)\) local minimizers

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• \(W^{1,N}\) versus \(C^1\) local minimizers for elliptic functionals with critical growth in \(\mathbb R^N\)
• The conormal derivative problem for elliptic equations of variational type
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Variational integrals on Orlicz-Sobolev spaces
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Boundary regularity for solutions of degenerate elliptic equations
• MULTIPLE POSITIVE SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS ASSOCIATED TO A CLASS OF p-LAPLACIAN LIKE OPERATORS
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Variational inequalities for energy functionals with nonstandard growth conditions

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