Quasilinear elliptic equations with signed measure data
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.
|Collections||ANU Research Publications|
|Source:||Discrete and Continuous Dynamical Systems - Series A|