Existence and multiplicity of solutions for double-phase Robin problemsPapageorgiou, Nikolaos (Avtor)
Rǎdulescu, Vicenţiu (Avtor)
Repovš, Dušan (Avtor)
double phase Robin problemCarathéodory nonlinearityexistence theoremsuperlinear casepositive solutionsresonant caseWe consider a double phase Robin problem with a Carathéodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.20202020-06-03 10:45:50Članek v reviji116684sl