Multiple solutions and ground state solutions for a class of generalized Kadomtsev-Petviashvili equation

DOI10.1515/MATH-2021-0014zbMath1483.35191OpenAlexW3164527190MaRDI QIDQ2053606

Chenggui Yuan, Chun-Fang Chen, Jian-Hua Chen, Yu-Ting Zhu

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2021-0014

zbMATH Keywords

multiplicity of solutionsground state solutionsgeneralized Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (1)

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Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Solitary waves of the generalized Kadomtsev-Petviashvili equations
• Minimax theorems
• Existence of solitary waves to a generalized Kadomtsev-Petviashvili equation
• Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Stationary solutions for a generalized Kadomtsev-Petviashvili equation in bounded domain
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