A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation

DOI10.1017/S0308210500003929zbMath1081.34085OpenAlexW1905530492MaRDI QIDQ4681976

Masataka Shibata, Tatsuya Watanabe, Kazuhiro Kurata

Publication date: 9 June 2005

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500003929

zbMATH Keywords

singular perturbationSchrödinger equationsymmetry breakingleast energy solutionspeak solutions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Symmetries, invariants of ordinary differential equations (34C14) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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