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] := ˆ Ω F(∇u) dx, u: Ω → R N , subject to a q-growth condition |F(z)| 6 c(1 + |z| q ), z ∈ RN×n, and natural p-mean coercivity conditions on F ∈ C∞(RN×n) for the basically optimal exponent ra...
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| Formato: | Journal article |
| Lenguaje: | English |
| Publicado: |
Springer
2024
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