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

Vincenzo Ambrosio

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Source: Crossref

Published: Oct 1, 2024

DOI: 10.1112/jlms.13004

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Source 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.

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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 — Mathematical Frontier Network