Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
By Leiga Zhao, Haidong Liu, Fukun Zhao. 2013
206 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0d0862325f19d9dd758972b0c55def68e56080c8
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In Applied Mathematics
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system (2014, background): “This assumptionwas introduced in [31,32] in order to prove compactnesswith themonotonicity trick of Jeanjean [19].”
- Ground state solutions for an indefinite Kirchhoff type problem with steep potential well (2014, background): “5: We follows the argument in [2] (or see [26]).”
- Existence and multiplicity of solutions for Schrödinger–Poisson equations with sign-changing potential (2015, background): “As for [35], we consider a larger class of nonlinearities and discuss the multiplicity result.”
- Existence of positive solutions to Schrödinger–Poisson type systems with critical exponent (2014, result): “Related results for more general f were also obtained in [1, 28, 32], and solutions of Schrödinger–Poisson systems with nonconstant potential (where b is a function of x) were considered in [17, 20, 21, 30, 31].”