Salvador Villegas

most citedSharp estimates for semi-stable radial solutions of semilinear elliptic equations

4 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2009★ 4 cited

Sharp estimates for semi-stable radial solutions of semilinear elliptic equations

Salvador Villegas

This paper is devoted to the study of semi-stable radial solutions $u \in H^{1} (B_{1})$ of $- Δ u = g (u) in B_{1} ∖ {0}$ , where $g \in C^{1} (R)$ is a general nonlinearity and $B_{1}$ is…

math.AP2009

Nonexistence of nonconstant global minimizers with limit at $\infty$ of semilinear elliptic equations in all of $R^{N}$

Salvador Villegas

We prove nonexistence of nonconstant global minimizers with limit at infinity of the semilinear elliptic equation $- Δ u = f (u)$ in the whole $R^{N}$ , where $f \in C^{1} (R)$ is a general no…

math.AP2009★ 3 cited

Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations

Antonio Canada, Salvador Villegas

This paper is devoted to the study of $L_{p}$ Lyapunov-type inequalities for linear systems of equations with Neumann boundary conditions and for any constant $p \geq 1$ . We consider…

math.AP2009

Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues

Antonio Canada, Salvador Villegas

This paper is devoted to the study of Lyapunov-type inequality for Neumann boundary conditions at higher eigenvalues. Our main result is derived from a detailed analysis about the…

Sharp estimates for semi-stable radial solutions of semilinear elliptic equations

Nonexistence of nonconstant global minimizers with limit at ∞ of semilinear elliptic equations in all of RN

Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations

Lyapunov inequalities for Neumann boundary conditions at higher eigenvalues

Nonexistence of nonconstant global minimizers with limit at $\infty$ of semilinear elliptic equations in all of $R^{N}$