In this note we discuss the existence and symmetry breaking of least energy solutions for certain weighted elliptic equations in the unit ball in $mathbb{R}^N$, with zero Dirichlet boundary conditions. We prove a multiplicity result, which answers one of the questions we left open in [6] regarding a Brezis-Nirenberg type problem
We consider least energy solutions to the nonlinear equation -\Delta_g u=f(r,u) posed on a class of ...
We consider the Neumann problem for an elliptic system of two equations involving the critical Sobol...
We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variab...
We prove the existence of (a pair of) least energy sign changing solutions of {-Delta u = vertical b...
We prove the existence of (a pair of) least energy sign changing solutions of {-Delta u = vertical b...
$p = \frac{N+2}{N-2} $. In this article, we return to the well-studied problem $(P_{\epsilon}) $: $-...
Nonlinear elliptic partial differential equations on bounded domains arise in several different area...
In [40], it was shown that the following singularly perturbed Dirichlet problem 2∆u − u + |u|p−1u = ...
AbstractIn this paper lower bounds for the number of solutions of semilinear elliptic problems in a ...
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system...
Abstract. In this paper we prove existence of least energy nodal solutions for the Hamiltonian ellip...
Abstract. We consider the problem of finding positive solutions of ∆u + λu + uq = 0 in a bounded, sm...
Abstract This paper deals with the existence and multiplicity of symmetric solutions for a weighted ...
For a general class of autonomous quasi-linear elliptic equations on R^n we prove the existence of a...
The thesis presents the results of our research on symmetry for some semilinear elliptic problems an...
We consider least energy solutions to the nonlinear equation -\Delta_g u=f(r,u) posed on a class of ...
We consider the Neumann problem for an elliptic system of two equations involving the critical Sobol...
We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variab...
We prove the existence of (a pair of) least energy sign changing solutions of {-Delta u = vertical b...
We prove the existence of (a pair of) least energy sign changing solutions of {-Delta u = vertical b...
$p = \frac{N+2}{N-2} $. In this article, we return to the well-studied problem $(P_{\epsilon}) $: $-...
Nonlinear elliptic partial differential equations on bounded domains arise in several different area...
In [40], it was shown that the following singularly perturbed Dirichlet problem 2∆u − u + |u|p−1u = ...
AbstractIn this paper lower bounds for the number of solutions of semilinear elliptic problems in a ...
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system...
Abstract. In this paper we prove existence of least energy nodal solutions for the Hamiltonian ellip...
Abstract. We consider the problem of finding positive solutions of ∆u + λu + uq = 0 in a bounded, sm...
Abstract This paper deals with the existence and multiplicity of symmetric solutions for a weighted ...
For a general class of autonomous quasi-linear elliptic equations on R^n we prove the existence of a...
The thesis presents the results of our research on symmetry for some semilinear elliptic problems an...
We consider least energy solutions to the nonlinear equation -\Delta_g u=f(r,u) posed on a class of ...
We consider the Neumann problem for an elliptic system of two equations involving the critical Sobol...
We present a weighted version of the Caffarelli-Kohn-Nirenberg inequality in the framework of variab...