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.

Boundary regularity, Global higher integrability, Nonstandard growth, Obstacle problem, Stability

Mathematics