Global regularity and stability of solutions to obstacle problems with nonstandard growth



: Eleuteri M, Harjulehto P, Lukkari T

Publisher: SPRINGER

: 2013

: Revista Matemática Complutense

: REVISTA MATEMATICA COMPLUTENSE

: REV MAT COMPLUT

: 1

: 26

: 1

: 147

: 181

: 35

: 1139-1138

DOI: https://doi.org/10.1007/s13163-011-0088-1


We study the regularity properties of solutions to the single and double obstacle problem with non standard growth. Our main results are a global reverse Holder inequality, Holder continuity up to the boundary, and stability of solutions with respect to continuous perturbations in the variable growth exponent.



Last updated on 2024-26-11 at 11:51