Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system

This article is concerned with the following Hamiltonian elliptic system: where is a small parameter, is a potential function, and is a super-quadratic sub-critical Hamiltonian. Applying suitable variational arguments and refined analysis techniques, we construct a new multiplicity result of semicla...

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Bibliographic Details
Published inAdvances in nonlinear analysis Vol. 13; no. 1; pp. 97 - 100
Main Authors Zhang, Jian, Zhou, Huitao, Mi, Heilong
Format Journal Article
LanguageEnglish
Published De Gruyter 12.03.2024
Subjects
35J50
35Q40
58E05
Hamiltonian elliptic system
multiplicity
semiclassical solutions
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Summary:This article is concerned with the following Hamiltonian elliptic system: where is a small parameter, is a potential function, and is a super-quadratic sub-critical Hamiltonian. Applying suitable variational arguments and refined analysis techniques, we construct a new multiplicity result of semiclassical solutions which depends on the number of global minimum points of . This result indicates how the shape of the graph of affects the number of semiclassical solutions.
ISSN:2191-950X
2191-950X
DOI:10.1515/anona-2023-0139