6533b872fe1ef96bd12d3aea

RESEARCH PRODUCT

Hölder gradient regularity for the inhomogeneous normalized p(x)-Laplace equation

Jarkko Siltakoski

subject

viscosity solutionosittaisdifferentiaaliyhtälötnon-divergence form equationHölder gradient regularityinhomogeneous equationApplied Mathematicsnormalized equationp-LaplaceAnalysis

description

We prove the local gradient Hölder regularity of viscosity solutions to the inhomogeneous normalized p(x)-Laplace equation −Δp(x)Nu=f(x), where p is Lipschitz continuous, inf⁡p>1, and f is continuous and bounded. peerReviewed

yearjournalcountryeditionlanguage
2022-09-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2022.126187