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10 papers · 2 filters
Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction
U. Guarnotta, S. A. Marano, N. S. Papageorgiou
A Robin boundary-value problem with non-homogeneous differential operator, indefinite potential, and reaction defined only near zero is investigated. The existence of one or more n…
-equations asymmetric at both zero and infinity
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a -equation, that is, a nonlinear nonhomogeneous elliptic equation driven by the sum of a -Laplacian and a Laplacian with . The reaction term is -…
Double-phase problems with reaction of arbitrary growth
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional ha…
Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient. The conve…
Positive solutions for nonvariational Robin problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We study a nonlinear Robin problem driven by the -Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of…
Periodic solutions for a class of evolution inclusions
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
We consider a periodic evolution inclusion defined on an evolution triple of spaces. The inclusion involves also a subdifferential term. We prove existence theorems for both the co…