Decay estimates for quasilinear elliptic equations and a Brezis-Nirenberg result in \(D^{1, p}(\mathbb{R}^N)\)

DOI10.1007/S41808-024-00263-XzbMATH Open1541.35226MaRDI QIDQ6539357

Hossein Tehrani, S. Carl

Publication date: 14 May 2024

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

zbMATH Keywords

quasilinear elliptic equation\(p\)-Laplacianminimizerdecay estimate for the solutions

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer and a Hopf-type maximum principle
• Pointwise gradient estimates
• The Wiener test and potential estimates for quasilinear elliptic equations
• Hölder continuity of solutions to quasilinear elliptic equations involving measures
• \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
• \(\mathcal{D}^{1,2}(\mathbb{R}^N)\) versus \(C(\mathbb{R}^N)\) local minimizer on manifolds and multiple solutions for zero-mass equations in \(\mathbb{R}^N\)
• Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations
• \(H^s\) versus \(C^0\)-weighted minimizers
• Local behavior of solutions of quasi-linear equations
• OnW^1, p(x)versus C¹local minimizers of functionals related top(x)-Laplacian
• Gradient estimates via non-linear potentials
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS
• Multi-Valued Variational Inequalities and Inclusions
• W1,p versus C1: The nonsmooth case involving critical growth
• D s , 2 ( R N ) versus C ( R N ) local minimizers

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