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Jie Yang, Haibo Chen, Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems

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DOI: 10.23952/jnva.7.2023.3.02

Volume 7, Issue 3, 1 June 2023, Pages 345-365

 

Abstract. This paper is dedicated to studying a (p,q)-Laplacian-Kirchhoff type equation. We prove the existence of three bounded solutions (one positive, one negative, and one nodal with precisely two nodal domains) by applying the Nehari manifold along with a quantitative deformation lemma and truncation technique.

 

How to Cite this Article:
J. Yang, H. Chen, Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems, J. Nonlinear Var. Anal. 7 (2023), 345-365.