Least energy solutions for a class of (p1,p2)$(p_{1}, p_{2})$‐Kirchhoff‐type problems in RN$\mathbb {R}^{N}$ with general nonlinearities
Abstract We examine the following ‐Kirchhoff‐type problem: where , , is the ‐Laplacian operator for , are two continuous Kirchhoff functions that satisfy suitable conditions, and is a general nonlinearity. Using appropriate variational arguments, we prove the existence of a radially symmetric least energy solution.
Authors
- Vincenzo Ambrosio (ORCID: https://orcid.org/0000-0003-3439-1428)
Institutions
- Marche Polytechnic University (IT)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1112/jlms.13004
- Citations
- 3
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 2.93