用标度Nehari流形求解一些标度问题的规定能量解

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-09-17 DOI:10.1016/j.jfa.2025.111213

Kanishka Perera , Kaye Silva

引用次数: 0

摘要

通过引入一个合适的基于缩放的Nehari流形的概念，证明了一类广义的缩放问题具有规定能量解的存在性、多重性和分岔性。给出了Schrödinger-Poisson-Slater型方程的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Prescribed energy solutions to some scaled problems via a scaled Nehari manifold

We prove the existence, multiplicity, and bifurcation of solutions with prescribed energy for a broad class of scaled problems by introducing a suitable notion of scaling based Nehari manifold. Applications are given to Schrödinger–Poisson–Slater type equations.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis