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

Abstract

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.

arXiv comment32 pages. With respect to the previous version, the proof of Theorem 1.1 has been divided in the new Lemma 4.1 and the remaining part