Regularity for entropy solutions to degenerate elliptic equations
We derive estimates for entropy solutions to degenerate elliptic equations of the form{−divA(x,u(x),∇u(x))=f(x),x∈Ω,u(x)=0,x∈∂Ω, where the Carathéodory function A:Ω×R×Rn→Rn satisfies degenerate coercivity conditionA(x,s,ξ)⋅ξ≥α|ξ|p(1+|s|)θ and controllable growth condition|A(x,s,ξ)|≤β|ξ|p−1 for 1...
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| Veröffentlicht in: | Journal of mathematical analysis and applications 2020-11, Vol.491 (1), p.124251, Article 124251 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We derive estimates for entropy solutions to degenerate elliptic equations of the form{−divA(x,u(x),∇u(x))=f(x),x∈Ω,u(x)=0,x∈∂Ω, where the Carathéodory function A:Ω×R×Rn→Rn satisfies degenerate coercivity conditionA(x,s,ξ)⋅ξ≥α|ξ|p(1+|s|)θ and controllable growth condition|A(x,s,ξ)|≤β|ξ|p−1 for 1 |
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| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1016/j.jmaa.2020.124251 |