Distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay

DOI10.4171/ZAA/1474zbMath1258.35183arXiv1110.2314OpenAlexW2962898329MaRDI QIDQ1940975

Rainer Mandel, Wolfgang Reichel

Publication date: 11 March 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2314

zbMATH Keywords

nonlinear Schrödinger equationvariational methodssingular solutionsdistributional solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Green's functions for elliptic equations (35J08)

Related Items

A note on the local regularity of distributional solutions and subsolutions of semilinear elliptic systems

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