On the uniqueness of sign changing bound state solutions of a semilinear equation

  • Cecilia S. Yarur

    Departamento de Matemática y C.C., Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile
  • Carmen Cortázar

    Departamento de Matemática, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
  • Marta García-Huidobro

    Departamento de Matemática, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile

Abstract

We establish the uniqueness of the higher radial bound state solutions of

We assume that the nonlinearity is an odd function satisfying some convexity and growth conditions, and has one zero at , is nonpositive and not-identically 0 in , positive in , and is differentiable in .

Cite this article

Cecilia S. Yarur, Carmen Cortázar, Marta García-Huidobro, On the uniqueness of sign changing bound state solutions of a semilinear equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 4, pp. 599–621

DOI 10.1016/J.ANIHPC.2011.04.002