Hölder continuity of weak solutions of a class of linear equations with boundary degeneracy

DOI10.1016/j.jde.2007.03.026zbMath1121.35025OpenAlexW1993005408MaRDI QIDQ2642065

Lihe Wang, Jingxue Yin, Chunpeng Wang, Shu Lin Zhou

Publication date: 20 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.03.026

zbMATH Keywords

Harnack inequalitywell-posed problemDirichlet boundary value conditionsMorrey theoremoptimal Hölder continuity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

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Evolutionary weighted \(p\)-Laplacian with boundary degeneracy ⋮ Degenerate linear parabolic equations in divergence form on the upper half space ⋮ Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ Optimal regularity and fine asymptotics for the porous medium equation in bounded domains ⋮ Approximate controllability of a class of semilinear systems with boundary degeneracy ⋮ Solutions of singular elliptic equations via the oblique derivative problem ⋮ Weighted mixed-norm \(L_p\) estimates for equations in non-divergence form with singular coefficients: The Dirichlet problem ⋮ Results on entire solutions for a degenerate critical elliptic equation with anisotropic coefficients ⋮ Gradient bounds for elliptic problems singular at the boundary ⋮ Approximate controllability of a class of degenerate systems ⋮ Optimal Hölder Continuity for a Class of Degenerate Elliptic Problems with an Application to Subsonic-Sonic Flows ⋮ Parabolic and elliptic equations with singular or degenerate coefficients: The Dirichlet problem

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