Regularity results for a class of obstacle problems under non standard growth conditions

Eleuteri, Michela and Habermann, Jens (2007) Regularity results for a class of obstacle problems under non standard growth conditions. UNSPECIFIED. (Unpublished)

[img]
Preview
 PDF
Download (263Kb) | Preview

    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

    Actions (login required)

    		 View Item