负能量Orlicz-Sobolev中涉及临界增长的kirchhoff型方程的无穷多解

IF 0.7 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 2025-06-24 DOI:10.21136/AM.2025.0059-25

Elmostafa Bendib, Mustapha Khiddi

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引用次数: 0

摘要

研究了一类在Orlicz-Sobolev空间中以临界增长为特征的kirchhoff型方程。主要结果建立了负能量解的无穷多解的存在性。利用一种适应的集中紧性原理和先进的变分方法，我们克服了相关泛函的非紧性和不可微性等关键挑战。这项工作将现有的结果扩展到更一般的泛函空间，为非局部非线性方程提供了新的见解。

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Infinitely many solutions for Kirchhoff-type equations involving critical growth in Orlicz-Sobolev with negative energies

We investigate a class of Kirchhoff-type equations characterized by critical growth within Orlicz-Sobolev spaces. The main result establishes the existence of infinitely many solutions with negative energy. Using an adapted concentration-compactness principle and advanced variational methods, we overcome key challenges such as non-compactness and non-differentiability to the associated functionals. This work extends existing results to more general functional spaces, offering new insights into nonlocal nonlinear equations.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.