On the continuity of solutions to degenerate elliptic equations

DOI10.1016/J.JDE.2010.12.014zbMath1213.35231OpenAlexW1998126646MaRDI QIDQ631875

Carlo Sbordone, David V. Cruz-Uribe, Patrizia Di Gironimo

Publication date: 14 March 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.12.014

zbMATH Keywords

maximal functionpartial differential equationMuckenhoupt weightGehring classfinite distortiondivergence form

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30)

Related Items (11)

A-harmonic equation and cavitation ⋮ Nonuniformly elliptic energy integrals with \(p, q\)-growth ⋮ A two-weight Sobolev inequality for Carnot-Carathéodory spaces ⋮ Higher integrability of minimizers of degenerate functionals in Carnot–Carathéodory spaces ⋮ Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces ⋮ Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth ⋮ A Sobolev inequality with reciprocal weights ⋮ On the continuity of solutions to degenerate elliptic equations in two dimensions ⋮ Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coefficients in \textit{BMO} ⋮ Regularity of minimizers under limit growth conditions ⋮ Regularity of quasi-minimizers for non-uniformly elliptic integrals

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