A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity
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Publication:476697
DOI10.3934/dcds.2014.34.3371zbMath1305.35022arXiv1301.0136OpenAlexW1533439335MaRDI QIDQ476697
Pascal Bégout, Jesús Ildefonso Díaz
Publication date: 2 December 2014
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.0136
Related Items (8)
Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials ⋮ Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials ⋮ On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via singular potentials: the multi-dimensional case ⋮ Finite time extinction for a damped nonlinear Schr{\"o}dinger equation in the whole space ⋮ Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains ⋮ Unnamed Item ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness ⋮ Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity
Cites Work
- On a nonlinear Schrödinger equation with a localizing effect
- Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity
- Localizing estimates of the support of solutions of some nonlinear Schrödinger equations -- the stationary case
- Self-similar solutions with compactly supported profile of some nonlinear Schr{\"o}dinger equations
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
- Unnamed Item
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