Multiple Normalized Solutions for a Class of Elliptic Equations With Mixed Fractional Laplacians

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-07-29 DOI:10.1002/mma.70016

Ruibin Jiang, Qihuan Xie

引用次数: 0

Abstract

The aim of this paper is to establish a multiplicity of normalized solutions for a class of nonlinear elliptic equations with mixed fractional Laplacians, which is driven by the superposition of Brownian and Lévy processes. This result complements some known results in the literature. In the process of our proof, we mainly apply the concentration compactness principle and the Lusternik–Schnirelmann theory to obtain the results mentioned in this paper.

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一类混合分数阶拉普拉斯椭圆方程的多重归一化解

本文的目的是建立一类混合分数阶拉普拉斯非线性椭圆方程的归一化解的多重性，该方程是由brown过程和lsamvy过程的叠加驱动的。这一结果补充了文献中一些已知的结果。在我们的证明过程中，我们主要运用了集中紧致原理和Lusternik-Schnirelmann理论来得到本文所提到的结果。

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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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.