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Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Zhang, Youpei
Nonlinear analysis: real world applications, April 2022, 2022-04-00, Letnik: 64Journal Article
We consider a double phase Dirichlet equation with a reaction which is asymptotically as x→±∞, resonant with respect to the first eigenvalue of a related eigenvalue problem. Using variational tools together with Morse theoretic arguments, we prove the existence of at least two bounded nontrivial solutions for the problem.
