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math.AP2023★ 2 cited
Constant sign and nodal solutions for parametric anisotropic -equations
Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro
We consider an anisotropic -equation, with a parametric and superlinear reaction term. We show that for all small values of the parameter the problem has at least five nontr…
math.AP2023
Continuous spectrum for a double-phase unbalanced growth eigenvalue problem
Laura Gambera, Umberto Guarnotta, Nikolaos S. Papageorgiou
We consider an eigenvalue problem for a double-phase differential operator with unbalanced growth. Using the Nehari method, we show that the problem has a continuous spectrum deter…