A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory suited to this setting.

Bibliographic Details
Main Authors: Colturato Michele, Degiovanni Marco
Format: Article
Language:English
Published: De Gruyter 2016-05-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2015-0142