Advances in Differential Equations

On the number of positive solutions for nonhomogeneous semilinear elliptic problem

Abstract

We prove the existence of $\text{ cat } \Omega +1$ positive solutions of problem (1). If $\text{ cat } \Omega >1$ then we establish the existence of $\text{ cat } \Omega +2$ positive solutions. The proofs are based on the Lusternik-Schnirelman theory of critical points.

Article information

Source
Adv. Differential Equations Volume 1, Number 5 (1996), 753-772.

Dates
First available in Project Euclid: 25 April 2013

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