We prove regularity results for minimizers of some general integral functionals in the class K :={u∈W^{1,p(x)}(Ω,R): u > ψ}, where ψ :Ω →R is a fixed function and f is quasi-convex and fulfills a p(x)-growth condition with growth exponent p:Ω →(1,∞).
Regularity results for a class of obstacle problems under nonstandard growth conditions / Eleuteri, Michela; Habermann, Jens. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 344:(2008), pp. 1120-1142. [10.1016/j.jmaa.2008.03.068]
Regularity results for a class of obstacle problems under nonstandard growth conditions
ELEUTERI, Michela;
2008
Abstract
We prove regularity results for minimizers of some general integral functionals in the class K :={u∈W^{1,p(x)}(Ω,R): u > ψ}, where ψ :Ω →R is a fixed function and f is quasi-convex and fulfills a p(x)-growth condition with growth exponent p:Ω →(1,∞).Pubblicazioni consigliate
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