Positive solutions for nonlinear Schrödinger equations with deepening potential well

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Multi-bump solutions for Choquard equation with deepening potential well (2015, background): “ors prove the existence of k solutions that may change sign for any k and λ large enough. For other results related to Schrödinger equations with deepening potential well, we may refer the readers to [33, 32, 36] The existence and characterization of the solutions for problem (1.5) with large parame”
Ground state solutions for an indefinite Kirchhoff type problem with steep potential well (2014, background): “This problem has found much interest after being first introduced by Bartch and Wang [4] in the study of the existence of positive solutions for nonlinear Schrödinger equations and has been attracting much attention, see [2, 3, 21, 23].”