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- Title
Local regularity for an anisotropic elliptic equation.
- Authors
Liao, Naian; Skrypnik, Igor I.; Vespri, Vincenzo
- Abstract
We establish the interior Hölder continuity for locally bounded solutions, and the Harnack inequality for non-negative continuous solutions to a class of anisotropic elliptic equations with bounded and measurable coefficients, whose prototype equation is u xx + Δ q , y u = 0 locally in R × R N - 1 , for q < 2 , via ideas and tools originating from the regularity theory for degenerate and singular parabolic equations.
- Subjects
ELLIPTIC equations; DEGENERATE parabolic equations; DEGENERATE differential equations
- Publication
Calculus of Variations & Partial Differential Equations, 2020, Vol 59, Issue 4, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-020-01781-x