2 citations · 4 across the 8 of their papers we have counts for
11 papers
A new approach to the study of elliptic semilinear equations
Pilar Herreros
In this paper we define a new operator for the study of Using we can easily see some qualitative properties of the solutions, for ex…
Multiplicity results for bound state solutions of a semilinear equation
Pilar Herreros
We consider the problem of multiplicity and uniqueness of radial solutions of a nonlinear elliptic equation of the form \begin{eqnarray*} \begin{gathered} Δu +f(u)=0,\quad x\in \ma…
Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity
Carmen Cortázar, Marta García-Huidobro, Pilar Herreros
Given , we define a class of continuous piecewise functions having abrupt but controlled magnitude changes so that the problem $$Δu +f(u)=0,\quad x\in \mathbb R^…
On the uniqueness of solutions of a semilinear equation in an annulus
Carmen Cortázar, Marta Garcia-Huidobro, Pilar Herreros +1
We establish the uniqueness of positive radial solutions of where $A:=A_{a,b}=\{ x\in {\math…
Multiplicity results for sign changing bound state solutions of a semilinear equation
Carmen Cortázar, Marta García-Huidobro, Pilar Herreros
In this paper we give conditions on so that problem has at least two radial bound state solutions with any prescribed number o…
Regularity of Mediatrices in Surfaces
Pilar Herreros, Mario Ponce, J. J. P Veerman
For distinct points and in a two-dimensional Riemannian manifold, one defines their mediatrix as the set of equidistant points to and . It is known that med…