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.

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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
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article

Least energy solutions for a class of (p1,p2)$(p_{1}, p_{2})$‐Kirchhoff‐type problems in RN$\mathbb {R}^{N}$ with general nonlinearities

Vincenzo Ambrosio
3 citations
Journal of the London Mathematical Society
Nonlinear Partial Differential Equations
2.93
article

Least energy solutions for a class of (p1,p2)$(p_{1}, p_{2})$‐Kirchhoff‐type problems in RN$\mathbb {R}^{N}$ with general nonlinearities

Vincenzo Ambrosio
article en
3 citations

Abstract

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.

Journal of the London Mathematical SocietyVol. 110(4)
Marche Polytechnic University (IT)
Affordable and clean energy
Openalex Percentile: Top 9%
Nonlinear Partial Differential Equations
2.93
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Least energy solutions for a class of (p1,p2)$(p_{1}, p_{2})$‐Kirchhoff‐type problems in RN$\mathbb {R}^{N}$ with general nonlinearities — Vincenzo Ambrosio · Journal of the London Mathematical Society (2024) | TGRS Research Map | TGRS