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Št. zadetkov: 5
ǂThe ǂbehavior of solutions of a parametric weighted (p,q)-Laplacian equation
Dušan Repovš, Calogero Vetro
Izvirni znanstveni članek
Oznake: weighted (p,q)-Laplacian;resonant Carathéodory function;parametric power term;positive and negative solutions;nodal solutions;
We study the behavior of solutions for the parametric equation ▫$$-\Delta_{p}^{a_1} u(z)-\Delta_{q}^{a_2} u(z) = \lambda |u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } \Omega,\, \lambda >0,$$▫ under Dirichlet condition, where ▫$\Omega \subseteq \mathbb{R}^N$▫ is a bounded domain with a ▫$C^2$▫-boundar ...
Leto: 2022 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction
Nikolaos Socrates Papageorgiou, Dušan Repovš, Calogero Vetro
Izvirni znanstveni članek
Oznake: competition phenomena;nonlinear regularity;nonlinear maximum principle;strong comparison principle;bifurcation-type result;almost critical growth;
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, ▫$(p-1)$▫-sublinear with a partially concave nonlinearity near zero. The other is ▫$(p-1)$▫-superlinear and has almost cr ...
Leto: 2020 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Positive solutions for singular double phase problems
Nikolaos Socrates Papageorgiou, Dušan Repovš, Calogero Vetro
Izvirni znanstveni članek
Oznake: double phase problem;singular term;Nehari manifold;positive solutions;discontinuous weight;
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. The differential operator of the equation is the sum of a ▫$p$▫-Laplacian and of a weighted ▫$q$▫-Laplacian ▫$(q
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Constant sign and nodal solutions for parametric anisotropic (p, 2)-equations
Nikolaos Socrates Papageorgiou, Dušan Repovš, Calogero Vetro
Izvirni znanstveni članek
Oznake: anisotropic operators;regularity theory;maximum principle;constant sign and nodal solutions;critical groups;variable exponent;electrorheological fluids;
We consider an anisotropic ▫$(p, 2)$▫-equation, with a parametric and superlinear reaction term.Weshow that for all small values of the parameter the problem has at least five nontrivial smooth solutions, four with constant sign and the fifth nodal (sign-changing). The proofs use tools from critical ...
Leto: 2023 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Anisotropic (p,q)-equations with convex and negative concave terms
Nikolaos Socrates Papageorgiou, Dušan Repovš, Calogero Vetro
Samostojni znanstveni sestavek ali poglavje v monografski publikaciji
Oznake: variable Lebesgue spaces;variable Sobolev spaces;variable (p,q)-operator;regularity theory;local minimizer;critical point theory;
We consider a parametric Dirichlet problem driven by the anisotropic ▫$(p, q)$▫-Laplacian and with a reaction which exhibits the combined effects of a superlinear (convex) term and of a negative sublinear term. Using variational tools and critical groups we show that for all small values of the para ...
Leto: 2023 Vir: Pedagoška fakulteta (UL PEF)
Št. zadetkov: 5
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