Regularity results for a class of obstacle problems under nonstandard growth conditions

Eleuteri M, Habermann J (2008)


Publication Type: Journal article

Publication year: 2008

Journal

Publisher: Elsevier

Book Volume: 344

Pages Range: 1120-1142

DOI: 10.1016/j.jmaa.2008.03.068

Abstract

We prove regularity results for minimizers of functionals F (u, Ω) : = ∫ Ω f (x, u, D u) d x in the class K : = {u ∈ W 1, 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 typeL -1 | z | p (x) ≤ f (x, ξ, z) ≤ L (1 + | z | p (x)), with growth exponent p : Ω → (1, ∞). © 2008 Elsevier Inc. All rights reserved.

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APA:

Eleuteri, M., & Habermann, J. (2008). Regularity results for a class of obstacle problems under nonstandard growth conditions. Journal of Mathematical Analysis and Applications, 344, 1120-1142. https://dx.doi.org/10.1016/j.jmaa.2008.03.068

MLA:

Eleuteri, Michela, and Jens Habermann. "Regularity results for a class of obstacle problems under nonstandard growth conditions." Journal of Mathematical Analysis and Applications 344 (2008): 1120-1142.

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