Abstract and Applied Analysis
Volume 4 (1999), Issue 4, Pages 231-242
doi:10.1155/S1085337599000159

Semilinear elliptic equations having asymptotic limits at zero and infinity

Kanishka Perera1 and Martin Schechter2

1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901-6997, FL, USA
2Department of Mathematics, University of California Irvine, Irvine 92697-3875, CA, USA

Abstract

We obtain nontrivial solutions for semilinear elliptic boundary value problems having resonance both at zero and at infinity, when the nonlinear term has asymptotic limits.