Regularity for the normalized p -Laplacian equation with an arbitrary degeneracy law
Year: 2025
Type: article
Abstract: We examine the interior regularity of solutions to a degenerate normalized p -Laplace equation, where the degeneracy is governed by a modulus of continuity whose inverse satisfies a Dini continuity condition. We prove that under very general assumptions on the degeneracy law, solutions belong to the C 1 {C^{1}} class. We argue by approximating the solutions by a sequence of hyperplanes, which allows us to prove the desired regularity.
Authors: Claudemir Alcantara, Makson S Santos
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4416459774