Existence of positive solutions for some nonlinear elliptic problems in unbounded domains of \(\mathbb R^n\) (Q2491419)

Summary: This paper deals with a class of nonlinear elliptic equations in an unbounded domain \(D\) of \({\mathbb{R}}^n\), \(n \geq 3\), with a nonempty compact boundary, where the nonlinear term satisfies some appropriate conditions related to a certain Kato class \(K^{\infty}(D)\). Our purpose is to give some existence results and asymptotic behaviour for positive solutions by using the Green function approach and the Schauder fixed point theorem.