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Št. zadetkov: 48
Perturbations of nonlinear eigenvalue problems
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: nonhomogeneous differential operator;sublinear perturbation;superlinear perturbation;nonlinear regularity;nonlinear maximum principle;comparison principle;minimal positive solution;
We consider perturbations of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator plus an indefinite potential. We consider both sublinear and superlinear perturbations and we determine how the set of positive solutions changes as the real parameter ▫$\lambda$▫ varies. We a ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Nonlinear Dirichlet problems with unilateral growth on the reaction
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: unilateral growth;constant sign and nodal solutions;multiplicity theorems;critical groups;
We consider a nonlinear Dirichlet problem driven by the ▫$p$▫-Laplace differential operator with a reaction which has a subcritical growth restriction only from above. We prove two multiplicity theorems producing three nontrivial solutions, two of constant sign and the third nodal. The two multiplic ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Positive solutions for nonlinear parametric singular Dirichlet problems
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: parametric singular term;(p-1)-linear perturbation;uniform nonresonance;nonlinear regularity theory;truncation;strong comparison principle;bifurcation-type theorem;
We consider a nonlinear parametric Dirichlet problem driven by the ▫$p$▫-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Carathéodory perturbation which is ▫$p-1$▫-linear near ▫$+\infty$▫. The problem is uniformly nonresonant with r ...
Leto: 2019 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: convex subdifferential;Moreau-Yosida approximation;elliptic differential inclusion;Morse iteration technique;pseudomonotone map;variational inequality;
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 convex subdifferential incorporates in our framework problems with unilateral constraints (variational inequalities). Using t ...
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Existence and multiplicity of solutions for resonant (p,2)-equations
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: resonance;variational eigenvalues;critical groups;nonlinear regularity;multiple solutions;nodal solutions;
We consider Dirichlet elliptic equations driven by the sum of a ▫$p$▫-Laplacian ▫$(2
Leto: 2018 Vir: Fakulteta za matematiko in fiziko (UL FMF)
On a class of parametric (p, 2)-equations
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: near resonance;local minimizer;critical group;constant sign and nodal solutions;nonlinear maximum principle;
We consider parametric equations driven by the sum of a ▫$p$▫-Laplacian and a Laplace operator (the so-called ▫$(p, 2)$▫-equations). We study the existence and multiplicity of solutions when the parameter ▫$\lambda > 0$▫ is near the principal eigenvalue ▫$\hat{\lambda}_1(p) > 0$▫ of ▫$(-\Delta_p,W^{ ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Multiple solutions for resonant problems of the Robin p-Laplacian plus an indefinite potential
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: p-Laplacian;Robin boundary condition;resonance;critical groups;multiple nontrivial smooth solutions;indefinite potential;
We study a nonlinear boundary value problem driven by the ▫$p$▫-Laplacian plus an indefinite potential with Robin boundary condition. The reaction term is a Carathéodory function which is asymptotically resonant at ▫$\pm \infty$▫ with respect to a nonprincipal Ljusternik-Schnirelmann eigenvalue. Usi ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Robin problems with a general potential and a superlinear reaction
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: indefinite potential;Robin boundary condition;critical groups;superlinear reaction term;regularity theory;nodal solutions;
We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosett-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using vari ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Pairs of positive solutions for resonant singular equations with the p-Laplacian
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: singular reaction;resonance;regularity;positive solutions;maximum principle;mountain pass theorem;
We consider a nonlinear elliptic equation driven by the Dirichlet ▫$p$▫-Laplacian with a singular term and a ▫$(p-1)$▫-linear perturbation which is resonant at ▫$+\infty$▫ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Relaxation methods for optimal control problems
Nikolaos Socrates Papageorgiou, Vicenţiu Rǎdulescu, Dušan Repovš
Izvirni znanstveni članek
Oznake: admissible relaxation;maximal monotone map;Young measure;convex conjugate;weak norm;
We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map ▫$A \colon \mathbb{R}^N \to 2^{\mathbb{R}^N}$▫. We do not assume that ▫$D(A) = \mathbb{R}^N$▫, incorporating in this way systems with unilateral constraints in our fra ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 48
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