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
Received 22 October 1999

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.