Weighted a priori estimates for solution of (-Δ)mu = f with homogeneous dirichlet conditions
Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenho...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_16724070_v26_n4_p339_Duran |
| Aporte de: |
| Sumario: | Let u be a weak solution of (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ Rn. Then, the main goal of this paper is to prove the following a priori estimate: {double pipe}u{double pipe}Wω 2m,p(Ω) ≤ C{double pipe}f{double pipe}Lω p(Ω), where ω is a weight in the Muckenhoupt class Ap. © 2010 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg. |
|---|