Št. zadetkov: 53
Izvirni znanstveni članek
Oznake:
generalized p(x)-biharmonic equation;nonhomogeneous differential operator;variable exponent;singular nonlinearity;
We study the existence of nontrivial weak solutions for a class of generalized ▫$p(x)$▫-biharmonic equations with singular nonlinearity and Navier boundary condition. The proofs combine variational and topological arguments. The approach developed in this paper allows for the treatment of several cl ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Baouendi-Grushin operator;Caffarelli-Kohn-Nirenberg inequality;transonic flow;nonlinear eigenvalue problem;variable exponent;
In this paper we are concerned with a class of double phase energy functionals arising in the theory of transonic flows. Their main feature is that the associated Euler equation is driven by the Baouendi-Grushin operator with variable coefficient. This partial differential equation is of mixed type ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
p(x)-Laplace operator;Caffarelli-Kohn-Nirenberg inequality;multiple solutions;fountain theorem;
We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variable exponents. The combination of this inequality with a variant of the fountain theorem, yields the existence of infinitely many solutions for a class of non-homogeneous problems with Dirichlet bounda ...
Leto:
2018
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
nehomogeni diferencial operator;problem dvojne faze;visoka perturbacija;spekter nelinearnih operatorjev;nonhomogeneous differential operator;double phase problem;high perturbation;spectrum of nonlinear operators;
Obravnavamo nek razred variacijskih integralov dvojne faze, ki se izrazijo z nehomogenimi potenciali. Proučujemo prirejeno Eulerjevo enačbo in izpostavimo obstoj dveh različnih Rayleighovih kvocientov. Eden izmed njih je v zvezi z obstojem neskončnega intervala lastnih vrednosti, medtem ko je drugi ...
Leto:
2018
Vir:
Pedagoška fakulteta (UL PEF)
Izvirni znanstveni članek
Oznake:
mountain pass;Ekeland variational principle;nonlocal Kirchhoff equation;
We study the following Kirchhoff equation ▫$$ - \left( 1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \quad x \in \mathbb{R}^3. $$▫ A feature of this paper is that the nonlinearity ▫$f$▫ and the potential ▫$V$▫ are indefinite, hence sign-changing. Under some appropriat ...
Leto:
2016
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Baouendi-Grushin operator;double-phase problem;singular term;existence of solutions;
In this paper we introduce a new double phase Baouendi-Grushin type operator with variable coefficients. We give basic properties of the corresponding functions space and prove a compactness result. In the second part, using topological argument, we prove the existence of weak solutions of some nonv ...
Leto:
2021
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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)
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)