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Peer-reviewedCC BYDemonstratio Mathematica

Existence and multiplicity of solutions for a class of new nonlocal problem with indefinite potential

  • Chu Changmu1
  • Luo Feng1
  • Ming Yanting1
  1. 1School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou550025, P.R. China
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Abstract

This paper is devoted to study a class of new nonlocal problem with indefinite potential. Using linking theorem and symmetric mountain pass theorem, the existence and multiplicity of solutions to this problem are obtained. Moreover, we also investigated the asymptotic behavior of the solutions when the parameters of the nonlocal terms tend to zero.

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Cite

BibTeXRIS
BibTeX
@article{changmu2026existence,
  title = {{Existence and multiplicity of solutions for a class of new nonlocal problem with indefinite potential}},
  author = {Chu Changmu and Luo Feng and Ming Yanting},
  journal = {Demonstratio Mathematica},
  year = {2026},
  month = oct,
  doi = {10.1515/dema-2025-0310},
  url = {https://doi.org/10.1515/dema-2025-0310},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Existence and multiplicity of solutions for a class of new nonlocal problem with indefinite potential
AU  - Chu Changmu
AU  - Luo Feng
AU  - Ming Yanting
PY  - 2026
DA  - 2026/10/26
JO  - Demonstratio Mathematica
DO  - 10.1515/dema-2025-0310
UR  - https://doi.org/10.1515/dema-2025-0310
AB  - This paper is devoted to study a class of new nonlocal problem with indefinite potential. Using linking theorem and symmetric mountain pass theorem, the existence and multiplicity of solutions to this problem are obtained. Moreover, we also investigated the asymptotic behavior of the solutions when the parameters of the nonlocal terms tend to zero.
SN  - 2391-4661
ER  -