Eleuteri, Michela and Habermann, Jens (2007) Regularity results for a class of obstacle problems under non standard growth conditions. UNSPECIFIED. (Unpublished)
Abstract
We prove regularity results for minimizers of functionals F(u, Ω) := ∫Ω f(x, u, Du) dx in the class K := {u ∈ W1,p(x)(Ω, R) : u ≥ ψ}, where ψ : Ω → R is a fixed function and f is quasiconvex and fulfills a growth condition of the type L−1|z|p(x) ≤ f(x, ξ, z) ≤ L(1 + |z|p(x)), with growth exponent p : Ω → (1, ∞).
Item Type: | Departmental Technical Report |
Department or Research center: | Mathematics |
Subjects: | UNSPECIFIED |
Report Number: | UTM 714, June 2007 |
Repository staff approval on: | 21 Jun 2007 |
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