Quasilinear elliptic equations with signed measure data
Date
2009-01
Authors
Wang, Xu-Jia
Trudinger, Neil
Journal Title
Journal ISSN
Volume Title
Publisher
American Mathematical Society
Abstract
This paper treats quasilinear elliptic equations in divergence form whose inhomogeneous
term is a signed measure. We first prove the existence and continuity of
generalized solutions to the Dirichlet problem. The main result of this paper is a weak
convergence result, extending previous work of the authors for subharmonic functions and
non-negative measures. We also prove a uniqueness result for uniformly elliptic operators
and for operators of p-Laplacian type.
Description
Keywords
quasilinear elliptic equations, continuity, Dirichlet problem, generalized solutions, weak convergence result, subharmonic functions, non-negative measures, uniqueness, uniformly elliptic operators, p-Laplacian
Citation
Collections
Source
Discrete and Continuous Dynamical Systems - Series A
Type
Journal article