INVESTIGADORES
TOSCHI Marisa
artículos
Título:
Weighted a priori estimates for solution of $(\Delta)^m u$ with homogeneous Dirichlet conditions
Autor/es:
DURÁN, RICARDO; SANMARTINO, MARCELA; TOSCHI, MARISA
Revista:
Analysis in Theory and Applications
Editorial:
Springer
Referencias:
Lugar: Peking and Nanjing; Año: 2010 vol. 26 p. 339 - 349
ISSN:
1672-4070
Resumen:
Let $u$ be a weak solution of $ (-Delta)^m u=f $ with Dirichletboundary conditions in a smooth bounded domain $Omega subsetmathbb{R}^n$. Then, the main goal of this paper is to prove thefollowing a priori estimate:$$|u|_{W^{2m,p}_omega(Omega)} le C,|f|_{L^p_omega(Omega)},$$where $omega$ is a weight in the Muckenhoupt class $A_p.$
