Št. zadetkov: 48
Izvirni znanstveni članek
Oznake:
nonlinear nonhomogeneous differential operator;nonlinear boundary condition;nonlinear regularity theory;nonlinear maximum principle;critical groups;
We consider a nonlinear boundary value problem driven by a nonhomogeneous differential operator. The problem exhibits competing nonlinearities with a superlinear (convex) contribution coming from the reaction term and a sublinear (concave) contribution coming from the parametric boundary (source) te ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
evolution triple;compact embedding;pseudo-monotone map;coercive map;implicit inclusion;periodic solution;
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 spaces. Using an approximation technique and a surjectivity result for parabolic operators of monotone type, we show the ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Nehari manifold;continuous spectrum;nonlinear regularity theory;
We consider a nonlinear eigenvalue problem driven by the sum of ▫$p$▫ and ▫$q$▫-Laplacians. We show that the problem has a continuous spectrum. Our result reveals a discontinuity property for the spectrum of a parametric ▫$(p,q)$▫-differential operator as the parameter ▫$\beta $▫ goes to ▫$1^-$▫.
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
p-Laplacian;indefinite potential;resonance;strong resonance;variational eigenvalue;nonlinear regularity;critical groups;Robin boundary condition;
We consider a nonlinear Robin problems driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical gropus we prove existence and multiplici ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
evolution triple;compact embedding;parabolic regularization;noncoercive viscosity term;a priori bounds;
In this paper we deal with a second order nonlinear evolution inclusion, with a nonmonotone, noncoercive viscosity term. Using a parabolic regularization (approximation) of the problem and a priori bounds that permit passing to the limit, we prove that the problem has a solution.
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
mixed boundary condition;superdiffusive reaction;positive solutions;bifurcation-type result;truncations;
We study a semilinear parametric elliptic equation with superdiffusive reaction and mixed boundary conditions. Using variational methods, together with suitable truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions.
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
evolution triple;L-pseudomonotone map;extremal trajectories;strong relaxation;parabolic control system;Poincaré map;
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 convex and the nonconvex problem, and we also produce extremal trajectories. Moreover, we show that every solution of the ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
indefinite and unbounded potential;critical groups;multiple solutions;nonlinear regularity;resonance;Robin boundary condition;strong comparison;truncation;
We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly ▫$(p-1)$▫-sublinear and the other one is ▫$(p-1)$▫-linear and resonant at any nonprincipal variational eigenvalue. Using variatio ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
singular term;convection term;nonlinear regularity;nonlinear maximum principle;Leray-Schauder alternative theorem;fixed point theory;
We consider a nonlinear Neumann problem driven by the p-Laplacian. In the reaction we have the competing effects of a singular and a convection term. Using a topological approach based on the Leray-Schauder alternative principle together with suitable truncation and comparison techniques, we show th ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
double phase operator;weight function;superlinear reaction;Nehari manifold;ground state solution;nodal solution;
We consider a double phase problem driven by the sum of the ▫$p$▫-Laplace operator and a weighted ▫$q$▫-Laplacian ▫$(q
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)