167 citations · 467 across the 29 of their papers we have counts for
32 papers
Modica type estimates and curvature results for overdetermined elliptic problems
David Ruiz, Pieralberto Sicbaldi, Jing Wu
In this paper, we establish a Modica type estimate on bounded solutions to the overdetermined elliptic problem \begin{equation*} \begin{cases} Δu+f(u) =0& \mbox{in , }\\ u>0 &\m…
Nonsymmetric sign-changing solutions to overdetermined elliptic problems in bounded domains
David Ruiz
In 1971 J. Serrin proved that, given a smooth bounded domain and a positive solution of the problem: \begin{equation*} \begin{array}{ll} -Δu = f(u) &\mb…
Qualitative Properties of Singular Solutions to the Fractional Yamabe Problem
Sergio Cruz-Blázquez, Azahara DelaTorre, David Ruiz
In this paper we are interested in the qualitative properties of the solutions to the fractional Yamabe problem in which present an isolated singularity. In particul…
Symmetry results for compactly supported steady solutions of the 2D Euler equations
David Ruiz
In this paper we prove symmetry of compactly supported steady solutions of the 2D Euler equations. Assuming that is an annular domain, we…
Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori
Francisco Javier Martínez Sánchez, David Ruiz
In this paper we consider traveling waves for the Gross-Pitaevskii equation which are T-periodic in each variable. We prove that if T is large enough, there exists a solution as a…
Overdetermined elliptic problems in onduloid-type domains with general nonlinearities
D. Ruiz, P. Sicbaldi, J. Wu
In this paper, we prove the existence of nontrivial unbounded domains , bifurcating from the straight cylinder (where is th…