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 Hölder inequality, Hölder continuity up to the boundary, and stability of solutions with respect to continuous perturbations in the variable growth exponent
Global regularity and stability of solutions to obstacle problems with nonstandard growth / Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu. - In: REVISTA MATEMATICA COMPLUTENSE. - ISSN 1139-1138. - 26:(2013), pp. 147-181. [10.1007/s13163-011-0088-1]
Global regularity and stability of solutions to obstacle problems with nonstandard growth
ELEUTERI, Michela;
2013
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 Hölder inequality, Hölder continuity up to the boundary, and stability of solutions with respect to continuous perturbations in the variable growth exponent
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