Nontrivial solutions for a class of Hamiltonian strongly degenerate elliptic system

In this paper, we study the existence of nontrivial to the following Hamiltonian strongly degenerate elliptic system in whole space where are nonnegative functions with and V might unbounded or vanish at infinity. Here is the strongly degenerate operator and the nonlinearity terms are continuous fun...

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Bibliographic Details
Published in:Applicable analysis 2023-05, Vol.102 (8), p.2293-2313
Main Author: My, Bui Kim
Format: Article
Language:English
Subjects:
cerami sequences
Continuity (mathematics)
Hamiltonian elliptic system
Operators (mathematics)
strongly degenerate
unbounded or vanishing potentials
variational methods
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Summary:In this paper, we study the existence of nontrivial to the following Hamiltonian strongly degenerate elliptic system in whole space where are nonnegative functions with and V might unbounded or vanish at infinity. Here is the strongly degenerate operator and the nonlinearity terms are continuous functions and satisfy some assumptions that will be specified later. Due to the unbounded or vanishing of potentials and degeneracy of the operator, some new compact embedding theorems are used in the proof. Our results extend and generalize some existing results.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2022.2027376