A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity

Pascal Bégout (1) , Jesús Ildefonso Díaz (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 UCM - Departamento de Matematica Aplicada

We prove the compactness of the support of the solution of some stationary Schrödinger 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.

Mots clés: solutions with compact support; energy method; Schrödinger equation

Domaines: Equations aux dérivées partielles [math.AP]

Pascal Bégout, Jesús Ildefonso Díaz. A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity. Discrete and Continuous Dynamical Systems - Series A, 2014, 34 (9), pp.3371-3382. ⟨10.3934/dcds.2014.34.3371⟩. ⟨hal-00769453v5⟩