Regularity for a class of variational integrals motivated by non-linear elasticity

Article type: Research Article

Authors: Fuchs, Martin

Affiliations: Fachbereich Mathematik, Universität des Saarlandes, D-66041 Saarbrücken, Germany

Note: [] Correspondence to: M. Fuchs, Fachbereich Mathematik, Universität des Saarlandes, D-66041 Saarbrücken, Germany.

Abstract: We amsider (local) minimizers u∈H1,p(Ω,RN) of variational integrals ℱ(u):=∫Ωf(Du)dx with integrand f coming asymptotically close to |Du|p for large values of Du and prove everywhere regularity theorems without imposing any differentiability or convexity conditions on f. Further sections contain applications to certain relaxed problems.

DOI: 10.3233/ASY-1994-9102

Journal: Asymptotic Analysis, vol. 9, no. 1, pp. 23-38, 1994