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

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

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 growt...

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Veröffentlicht in:Revista matemática complutense 2013, Vol.26 (1), p.147-181
Hauptverfasser: Eleuteri, Michela, Harjulehto, Petteri, Lukkari, Teemu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Topology
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Beschreibung
Zusammenfassung: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.
ISSN:1139-1138
1988-2807
DOI:10.1007/s13163-011-0088-1