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math.AP2023★ 1 cited
Anisotropic -equations with convex and negative concave terms
Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro
We consider a parametric Dirichlet problem driven by the anisotropic -Laplacian and with a reaction which exhibits the combined effects of a superlinear (convex) term and of…
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…