Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side

2020/10/25 by A. Lyaghfouri, Lyaghfouri, A.
Computer Science · Mathematics · #35B65 #35J92 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2010.13131

openalex publication_date 2020/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that bounded solutions of the quasilinear elliptic equation Δ_p(x) u=g+div(F) are locally Hölder continuous provided that the functions g and F are in suitable Lebesgue spaces.

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