A nonlinear Schrödinger equation resonating at an essential spectrum

DOI10.1155/2016/3042493zbMath1406.35346OpenAlexW2290297985WikidataQ59122209 ScholiaQ59122209MaRDI QIDQ1796540

Shaowei Chen, Hai-Jun Zhou

Publication date: 17 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/3042493

zbMATH Keywords

nonlinear Schrödinger equationinfinitely many negative eigenvalues

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) NLS equations (nonlinear Schrödinger equations) (35Q55) Resonance in context of PDEs (35B34)

Cites Work

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• Existence of a positive solution of an elliptic equation on R^N
• The virial theorem and its application to the spectral theory of Schrödinger operators

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