Resumen de Multiple solutions of semilinear degenerate elliptic boundary value problems II

Kazuaki Taira

• The purpose of this paper is to study a class of semilinear degenerate elliptic boundary value problems depending on a parameter which include as particular cases the Dirichlet problem and the Robin problem. By using Schauder's fixed point theorem and the Leray–Schauder degree, we derive lower bounds on the number of solutions of our problem. The results here extend earlier theorems due to Kazdan–Warner and also Amann–Hess to the degenerate case.