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:
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)
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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)
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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:
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)
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:
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)
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)
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:
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)