Reference

Pascal Bégout, and Jesus Ildefonso Diaz, A sharper energy method for the localization of the support to some stationary Schrodinger equations with a singular nonlinearity, Discrete and Continuous Dynamical Systems, vol. 34, n. 9, March 2014, pp. 3371–3382.

Abstract

We prove the compactness of the support of the solution of some stationary Schr\"odinger equations with a singular nonlinear order term. We present here a sharper version of some energy methods previously used in the literature and, in particular, by the authors.

Keywords

Energy method; Schrödinger equation; Solutions with compact support

Pascal Bégout, and Jesus Ildefonso Diaz, A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity, TSE Working Paper, n. 13-401, April 2013.