Quasiconvex Functionals of ( p, q )-Growth and the Partial Regularity of Relaxed Minimizers

We establish C∞-partial regularity results for relaxed minimizers of strongly quasiconvex functionals F[u;Ω]:=∫ΩF(∇u)dx, u:Ω→RN, subject to a q-growth condition |F(z)|≦c(1+|z|q), z∈RN×n, and natural p-mean coercivity conditions on F∈C∞(RN×n) for the basically optimal exponent range 1≦p≦q<min{npn-...

詳細記述

書誌詳細
主要な著者: Gmeineder, F, Kristensen, J
フォーマット: Journal article
言語:English
出版事項: Springer 2024