Local \({W^{2,m(\cdot)}_{loc}}\) regularity for \(p\)(.)-Laplace equations

DOI10.1007/S00229-012-0549-YzbMath1266.35061OpenAlexW2012268420MaRDI QIDQ1942244

Yanyan Li

Publication date: 18 March 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0549-y

zbMATH Keywords

quasilinear elliptic equationregularity of solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (4)

Liouville results for double phase problems in \(\mathbb{R}^N\) ⋮ Second order regularity for degenerate nonlinear elliptic equations ⋮ A second-order Sobolev regularity for \(p(x)\)-Laplace equations ⋮ Higher differentiability of minimizers of variational integrals with variable exponents

Cites Work

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• Gradient continuity estimates
• Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Regularity of minima: an invitation to the dark side of the calculus of variations.
• Some results on the qualitative properties of positive solutions of quasilinear elliptic equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Entropy solutions for the $p(x)$-Laplace equation
• Boundary regularity for solutions of degenerate elliptic equations
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
• Gradient estimates for thep(x)-Laplacean system
• Regularity results for a class of functionals with non-standard growth

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