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MUGNAI, DIMITRI; PAPAGEORGIOU, NIKOLAOS S.
Transactions of the American Mathematical Society, 09/2014, Letnik: 366, Številka: 9Journal Article
We consider a nonlinear elliptic equation driven by the sum of a p-Laplacian, where 1<q\leq 2\leq p<\infty -superlinear Carathéodory reaction 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; among them one is positive and one is negative.
