In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights −Δu = '|X| POT. β' '|V| POT. Q-1' v, −Δv = '|X|POT. α' '|U| POT. P−1' u in Ω, u= v = 0 on ∂Ω, ...

The goal of this paper is to study the symmetry properties of nonnegative solutions of elliptic equations involving a non uniformly elliptic operator. We consider on a ball the solutions of ∆pu + f(u) = 0 with zero Dirichlet ...

This paper presents a procedure for testing the hypothesis that the underlying distribution of the data is elliptical when using robust location and scatter estimators instead of the sample mean and covariance matrix. Under ...

The existence of Lie symmetries in differential equations can generate transformations in the dependent and independent variables and obtain new equations that may be easier to integrate. In particular, in some situations, ...

We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which ...

We prove that the only domain Ω such that there exists a solution to the following problem in Ω, on ∂Ω, and , for a given constant c, is the unit ball , if we assume that Ω lies in an appropriate class of Lipschitz domains.

We build an unbounded sequence of nonradial solutions for