Multiplicity of solutions for a Kirchhoff equation with non‐linearity concave at the origin
We are concerned with the Kirchhoff problem where is a bounded domain with a regular boundary , and , with for and for . Given appropriate conditions on the function , we successfully applied variational methods to establish the existence of multiple solutions, including both a ground state and a nodal solution, for the specified problem, provided that is sufficiently small and for certain values of .
Authors
- Abdolrahman Razani (ORCID: https://orcid.org/0000-0002-3092-3530)
- José Carlos de Oliveira (ORCID: https://orcid.org/0000-0002-6518-5566)
- Gustavo S. A. Costa (ORCID: https://orcid.org/0000-0001-8936-9928)
Institutions
- Universidade Federal do Tocantins (BR)
- Universidade Federal do Norte do Tocantins
- Universidade Federal do Maranhão (BR)
- Imam Khomeini International University (IR)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2024-10-16
- DOI
- https://doi.org/10.1002/mma.10540
- Citations
- 3
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 2.93