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

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math.AP2009

Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues

Antonio Canada, Salvador Villegas

This paper is devoted to provide some new results on Lyapunov type inequalities for the periodic boundary value problem at higher eigenvalues. Our main result is derived from a det…

math.AP20094 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 of , where is a general nonlinearity and is…

math.AP2009

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

Salvador Villegas

We prove nonexistence of nonconstant global minimizers with limit at infinity of the semilinear elliptic equation in the whole , where is a general no…

math.AP20093 cited

Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations

Antonio Canada, Salvador Villegas

This paper is devoted to the study of Lyapunov-type inequalities for linear systems of equations with Neumann boundary conditions and for any constant . 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…