Št. zadetkov: 48
Izvirni znanstveni članek
Oznake:
indefinite and unbounded potential;concave term;asymmetric reaction;critical groups;multiple solutions;Harnack inequality;
We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a negative sign and of an asymmetric asymptotically linear term which is resonant in the negative dire ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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:
Robin p-Laplacian;indefinite potential;nodal solutions;truncation techniques;comparison principle;
We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, w ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
double-phase problem;nonlinear maximum principle;nonlinear regularity theory;critical point theory;critical groups;
We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional has unbalanced growth and we do not impose any global growth conditions to the reaction term, whose behavior is prescribed ...
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:
Robin boundary condition;nonlinear nonhomogeneous differential operator;nonlinear regularity;nonlinear maximum principle;bifurcation-type result;extremal positive solution;
We study a parametric Robin problem driven by a nonlinear nonhomogeneous differential operator and with a superlinear Carathéodory reaction term. We prove a bifurcation-type theorem for small values of the parameter. Also, we show that as the parameter ▫$\lambda > 0$▫ approaches zero, we can find po ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)