Infinitely Many Small Energy Solutions to Nonlinear Kirchhoff–Schrödinger Equations with the p-Laplacian

This paper is devoted to deriving the multiplicity result of solutions to the nonlinear elliptic equations of Kirchhoff–Schrödinger type on a class of a nonlocal Kirchhoff coefficient which slightly differs from the previous related works. More precisely, the main purpose of this paper, under the va...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 47; no. 3
Main Authors Kim, In Hyoun, Kim, Yun-Ho
Format Journal Article
LanguageEnglish
Published Singapore Springer Nature Singapore 01.05.2024
Springer Nature B.V
Subjects
Applications of Mathematics
Elliptic functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Schrodinger equation
35J20
47J30
Weak solutions
35J60
35D30
Kirchhoff function
Laplacian
Dual fountain theorem
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Summary:This paper is devoted to deriving the multiplicity result of solutions to the nonlinear elliptic equations of Kirchhoff–Schrödinger type on a class of a nonlocal Kirchhoff coefficient which slightly differs from the previous related works. More precisely, the main purpose of this paper, under the various conditions for a nonlinear term, is to show that our problem has a sequence of infinitely many small energy solutions. In order to obtain such a multiplicity result, the dual fountain theorem is used as the primary tool.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-024-01694-4