Special Session 34: Variational methods for discrete and continuous boundary value problems (with applications)
Contents
We consider a nonlinear elliptic equation driven by the sum of a $p$--Laplacian and a $q$--Laplacian with a nonlinear term which doesn't satisfy the usual Ambrosetti--Rabinowitz condition. Using variational methods based on critical point theory together with techniques from Morse theory we show that the problem has at least three nontrivial solutions.