OnW1, p(x)versus C1local minimizers of functionals related top(x)-Laplacian

DOI10.1080/00036811.2012.670224zbMath1273.35139OpenAlexW1535901744MaRDI QIDQ2841205

Sweta Tiwari, Konijeti Sreenadh

Publication date: 24 July 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2012.670224

zbMATH Keywords

critical exponentquasilinear equationsnonlinear Neumann boundary condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Cites Work

• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• \(W^{1,N}\) versus \(C^1\) local minimizers for elliptic functionals with critical growth in \(\mathbb R^N\)
• \(W^{1,p}_0\) versus \(C^1\) local minimizers for a singular and critical functional
• The conormal derivative problem for elliptic equations of variational type
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS