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10 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…
Second order formulation of boundary value problems in gradient elasticity
Antonios Charalambopoulos, Evanthia Douka, Stelios Mavratzas
A new formulation of boundary value problems in gradient elasticity is presented in this work. The main outcome is the construction of partial differential systems of second order,…
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…
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…
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…
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…