广义Kadomtsev-Petviashvili方程基态解的能量

IF 1 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2025-09-12 DOI:10.1007/s43034-025-00470-0

Claudianor O. Alves, Giovany M. Figueiredo, Marcelo Montenegro

引用次数: 0

摘要

我们在\(\mathbb {R}^2\)中证明了广义Kadomtsev-Petviashvili方程存在一个基态解。我们证明了基态解的能量等于方程对应的泛函的山口能级。

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On the energy of the ground state solution for a generalized Kadomtsev–Petviashvili equation

We show that there exists a ground state solution for a generalized Kadomtsev–Petviashvili equation in \(\mathbb {R}^2\). We prove that the ground state solution has energy equal to the mountain pass level of the functional corresponding to the equation.

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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.