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-...
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| 格式: | Journal article |
| 語言: | English |
| 出版: |
Springer
2024
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