A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Global regularity and stability of solutions to obstacle problems with nonstandard growth
Tekijät: Eleuteri M, Harjulehto P, Lukkari T
Kustantaja: SPRINGER
Julkaisuvuosi: 2013
Journal: Revista Matemática Complutense
Tietokannassa oleva lehden nimi: REVISTA MATEMATICA COMPLUTENSE
Lehden akronyymi: REV MAT COMPLUT
Numero sarjassa: 1
Vuosikerta: 26
Numero: 1
Aloitussivu: 147
Lopetussivu: 181
Sivujen määrä: 35
ISSN: 1139-1138
DOI: https://doi.org/10.1007/s13163-011-0088-1
Tiivistelmä
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.
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.