81 citations · 372 across the 20 of their papers we have counts for
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Robin double-phase problems with singular and superlinear terms
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Robin problem driven by the sum of -Laplacian and -Laplacian (i.e. the -equation). In the reaction there are competing effects of a singular te…
Anisotropic equations with indefinite potential and competing nonlinearities
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Dirichlet problem driven by a variable exponent -Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric conc…
Existence and nonexistence of positive solutions for singular (p,q)-equations with superdiffusive perturbation
Nikolaos S. Papageorgiou, Patrick Winkert
We consider a nonlinear Dirichlet problem driven by the -Laplacian and with a reaction which is parametric and exhibits the combined effects of a singular term and of a supe…
Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we…
Existence and multiplicity of solutions for double-phase Robin problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We 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…
Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. U…