Multiple positive solutions for semilinear Schrödinger equations with critical growth in ℝN
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Publication:5250053
DOI10.1063/1.4918795zbMath1318.35111OpenAlexW1979973317MaRDI QIDQ5250053
Junxiang Xu, Dianchen Lu, Fubao Zhang, Jun Wang
Publication date: 15 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4918795
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09)
Related Items (3)
Ground state solution for a class of Schrödinger equations involving general critical growth term ⋮ Existence of multiple positive solutions for Schrödinger-Poisson systems with critical growth ⋮ Multiplicity and concentration results for local and fractional NLS equations with critical growth
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