4 citations · 8 across the 12 of their papers we have counts for
16 papers
Behavior near the origin of in radial singular extremal solutions
Salvador Villegas
Consider the semilinear elliptic equation in the unit ball , with Dirichlet data , where is a real parameter and…
Sharp Liouville Theorems
Salvador Villegas
Consider the equation div in where . Berestycki, Caffarelli and Nirenberg proved that if there exists such that $\int_{B_R}(φσ)^2 \leq…
A simple proof of the optimal power in Liouville theorems
Salvador Villegas
Consider the equation div in where . It is well-known that if there exists such that for every …
Antisymmetry of solutions for some weighted elliptic problems
Xavier Cabre, Marcello Lucia, Manel Sanchon +1
This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-…
Sharp estimates of radial minimizers of p-Laplace equations
Miguel Angel Navarro, Salvador Villegas
In this paper we study semi-stable, radially symmetric and decreasing solutions of in , where is the unit ball of $\mathb…
Non-energy semi-stable radial solutions
Salvador Villegas
This paper is devoted to the study of semi-stable radial solutions of $-Δu=f(u) \mbox{in} \overline{B_1}\setminus \{0\}=\{x\in \mathbb{R}^N : 0<\vert x\vert\leq…