83 citations · 675 across the 31 of their papers we have counts for
33 papers
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…
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…
Anisotropic singular Neumann equations with unbalanced growth
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear parametric Neumann problem driven by the anisotropic -Laplacian and a reaction which exhibits the combined effects of a singular term and of a parame…
Anisotropic -equations with gradient dependent reaction
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a Dirichlet problem driven by the anisotropic -Laplacian and a reaction with gradient dependence (convection). The presence of the gradient in the source term ex…
Parametric superlinear double phase problems with singular term and critical growth on the boundary
Ángel Crespo-Blanco, Nikolaos S. Papageorgiou, Patrick Winkert
In this paper we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a non…
Positive solutions for singular double phase problems
Nikolaos S. Papageorgiou, Dušan D. Repovš, Calogero Vetro
We study the existence of positive solutions for a class of double phase Dirichlet equations which have the combined effects of a singular term and of a parametric superlinear term…
A multiplicity theorem for anisotropic Robin equations
Nikolaos S. Papageorgiou, Patrick Winkert
In this paper we consider an anisotropic Robin problem driven by the -Laplacian and a superlinear reaction. Applying variational tools along with truncation and comparison te…
Positive solutions for singular anisotropic -equations
Nikolaos S. Papageorgiou, Patrick Winkert
In this paper we consider a Dirichlet problem driven by an anisotropic -differential operator and a parametric reaction having the competing effects of a singular term and o…
On the logistic equation for the fractional p-Laplacian
Antonio Iannizzotto, Sunra Mosconi, Nikolaos S. Papageorgiou
We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, with a logistic type reaction depending on a positive param…
Existence of solutions for singular double phase problems via the Nehari manifold method
Wulong Liu, Guowei Dai, Nikolaos S. Papageorgiou +1
In this paper we study quasilinear elliptic equations driven by the double phase operator and a right-hand side which has the combined effect of a singular and of a parametric term…
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…
Relaxation methods for optimal control problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map . We…
Ground state and nodal solutions for a class of double phase problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a double phase problem driven by the sum of the -Laplace operator and a weighted -Laplacian (), with a weight function which is not bounded away from zero. T…
Nonlinear nonhomogeneous singular problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order near and with a reaction which has the competing…
Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction
N. S. Papageorgiou, D. D. Repovš, C. Vetro
We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, $…
Positive solutions for nonlinear Neumann problems with singular terms and convection
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Neumann problem driven by the -Laplacian. In the reaction term we have the competing effects of a singular and a convection term. Using a topological app…
(p,q)-Equations with singular and concave convex nonlinearities
Nikolaos S. Papageorgiou, Patrick Winkert
We consider a nonlinear Dirichlet problem driven by the -Laplacian with . The reaction is parametric and exhibits the competing effects of a singular term and of conc…
Parametric nonlinear resonant Robin problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Robin problem driven by the -Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly -sub…
Nonlinear nonhomogeneous boundary value problems with competition phenomena
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear boundary value problem driven by a nonhomogeneous differential operator. The problem exhibits competing nonlinearities with a superlinear (convex) contribut…