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We consider semilinear Robin problems driven by the negative Laplacian plusan indefinite potential and with a superlinear reaction term which need notsatisfy the Ambrosetti-Rabinowitz condition. We prove existence andmultiplicity theorems (producing also an infinity of smooth solutions) usingvariational tools, truncation and perturbation techniques and Morse theory(critical groups).

Robin problems with a general potential and a superlinear reaction