192 citations · 3.7k across the 290 of their papers we have counts for
15 papers · 2 filters
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…
Gradient-type systems on unbounded domains of the Heisenberg group
Giovanni Molica Bisci, Dušan D. Repovš
The purpose of this paper is to study the existence of weak solutions for some classes of one-parameter subelliptic gradient-type systems involving a Sobolev-Hardy potential define…
Positive solutions for a class of singular Dirichlet problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a Dirichlet elliptic problem driven by the Laplacian with singular and superlinear nonlinearities. The singular term appears on the left-hand side while the superlinear…
Existence and multiplicity results for a new -Kirchhoff problem
M. K. Hamdani, A. Harrabi, F. Mtiri +1
We study the existence and multiplicity results for the following nonlocal -Kirchhoff problem: \begin{equation} \label{10} \begin{cases} -\left(a-b\int_Ω\frac{1}{p(x)}| \nabl…
Some hemivariational inequalities in the Euclidean space
Giovanni Molica Bisci, Dušan D. Repovš
The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space (). These hemivari…
Double-phase problems and a discontinuity property of the spectrum
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear eigenvalue problem driven by the sum of and -Laplacian. We show that the problem has a continuous spectrum. Our result reveals a discontinuity proper…
Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
Anouar Bahrouni, Vicenţiu D. Rădulescu, Dušan D. Repovš
In this paper we are concerned with a class of double phase energy functionals arising in the theory of transonic flows. Their main feature is that the associated Euler equation is…
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…
Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions
István Faragó, Dušan Repovš
We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties o…
Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
Mingqi Xiang, Binlin Zhang, Dušan Repovš
We study the existence and multiplicity of solutions for a class of fractional Schrödinger-Kirchhoff type equations with the Trudinger-Moser nonlinearity. More precisely, we consid…
Positive solutions for nonlinear parametric singular Dirichlet problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear parametric Dirichlet problem driven by the -Laplace differential operator and a reaction which has the competing effects of a parametric singular term an…
Periodic solutions for implicit evolution inclusions
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear implicit evolution inclusion driven by a nonlinear, nonmonotone, time-varying set-valued map and defined in the framework of an evolution triple of Hilbert…
Nonlinear Dirichlet problems with unilateral growth on the reaction
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Dirichlet problem driven by the -Laplace differential operator with a reaction which has a subcritical growth restriction only from above. We prove two m…
Asymmetric Robin problems with indefinite potential and concave terms
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave te…
Nodal solutions for nonlinear nonhomogeneous Robin problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider the nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carathéodory function satisfying certa…