Regularity for nonlinear elliptic equations and systems
We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→R is a convex Carathéodory integrand; i.e., f...
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Peloritana dei Pericolanti
2020-12-01
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| Series: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| Online Access: |
http://dx.doi.org/10.1478/AAPP.98S2A10
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