A1 Refereed original research article in a scientific journal

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



Authors: Eleuteri M, Harjulehto P, Lukkari T

Publisher: SPRINGER

Publication year: 2013

Journal: Revista Matemática Complutense

Journal name in source: REVISTA MATEMATICA COMPLUTENSE

Journal acronym: REV MAT COMPLUT

Number in series: 1

Volume: 26

Issue: 1

First page : 147

Last page: 181

Number of pages: 35

ISSN: 1139-1138

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


Abstract
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.


Research Areas



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