Št. zadetkov: 14
Izvirni znanstveni članek
Oznake:
hemivariational inequalities;variational methods;principle of symmetric criticality;radial solutions;non-radial solutions;
The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ▫$\mathbb{R}^d \, (d \ge 3)$▫. These hemivariational inequalities have a variational structure and, thanks to this, we are able to find a non-trivial weak solutio ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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Oznake:
subelliptic equation;critical problem;Carnot group;existence result;variational methods;
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a s ...
Leto:
2017
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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Oznake:
partial differential equations;quasilinear elliptic equations;nonlocal problems;fractional equations;Mountain Pass Theorem;
This work is devoted to the study of the existence of solutions to nonlocal equations involving the fractional Laplacian. These equations have a variational structure and we find a nontrivial solution for them using the Mountain Pass Theorem. To make the nonlinear methods work, some careful analysis ...
Leto:
2015
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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Oznake:
discrete nonlinear boundary value problems;infinitely many solutions;difference equations;critical points theory;
By using variational methods, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established in presence of a perturbed Lipschitz term. Our goal was achieved requiring an appropriate behavior of the nonlinear term ▫$f$▫, either at zero or at infinity, wit ...
Leto:
2015
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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Oznake:
gradient-type system;Heisenberg group;variational methods;principle of symmetric criticality;symmetric solutions;
The purpose of this paper is to study the existence of weak solutions for some classes of one-parameter subelliptic gradient-type systems involving a Sobolev-Hardy potential defined on an unbounded domain ▫$\Omega_\psi$▫ of the Heisenberg group ▫$\mathbb{H}^n = \mathbb{C}^n \times \mathbb{R} \, (n \ ...
Leto:
2020
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
fractional Laplacian;variational methods;multiple solutions;
In this paper we discuss the existence and non-existence of weak solutions to parametric fractional equations involving the square root of the Laplacian ▫$A_{1/2}$▫ in a smooth bounded domain ▫$\Omega\subset \mathbb{R}^n$▫ (▫$n\geq 2$▫) and with zero Dirichlet boundary conditions. Namely, our simple ...
Leto:
2019
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
subelliptic equation;Carnot group;weak solution;critical point result;Heisenberg group;Folland-Stein space;
This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bound ...
Leto:
2017
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
fractional Laplacian;variational method;multiple solutions;
In this paper, we examine the existence of multiple solutions of parametric fractional equations involving the square root of the Laplacian ▫$A_{1/2}$▫ in a smooth bounded domain ▫$\Omega \subset \mathbb{R}^n$▫ ▫$(n \ge 2)$▫ and with Dirichlet zero-boundary conditions, i.e. ▫$$ \begin{cases} A_{1/2} ...
Leto:
2017
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
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Oznake:
Sierpiński gasket;fractal domains;nonlinear elliptic equation;weak Laplacian;
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence of at least two non-trivial weak (strong) solutions for the treated problem is obtained exploiting a local minimum theo ...
Leto:
2017
Vir:
Fakulteta za matematiko in fiziko (UL FMF)
Izvirni znanstveni članek
Oznake:
Sierpiński gasket;nonlinear elliptic equation;Dirichlet form,;weak Laplacian;
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem ...
Leto:
2016
Vir:
Fakulteta za matematiko in fiziko (UL FMF)