Fully nonlinear degenerate equations with applications to Grad equations
We consider a class of degenerate elliptic fully nonlinear equations with applications to Grad equations: |Du| γM+ D2u(x) = f |u ≥ u(x)| in Ω u = g on ∂Ω, where γ ≥ 1 is a constant, Ω is a bounded domain in RN with C 1,1 boundary. We prove the existence of a W2,p -viscosity solution to the above equ...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Elliptikus egyenlet - nemlineáris, Dirichlet-határértékprobléma, Analízis - matematikai, Differenciálegyenlet - parciális |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.26 |
| Online Access: | http://acta.bibl.u-szeged.hu/88828 |
| Tartalmi kivonat: | We consider a class of degenerate elliptic fully nonlinear equations with applications to Grad equations: |Du| γM+ D2u(x) = f |u ≥ u(x)| in Ω u = g on ∂Ω, where γ ≥ 1 is a constant, Ω is a bounded domain in RN with C 1,1 boundary. We prove the existence of a W2,p -viscosity solution to the above equation, which degenerates when the gradient of the solution vanishes. |
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| Terjedelem/Fizikai jellemzők: | 13 |
| ISSN: | 1417-3875 |