具有临界增长的双相基尔霍夫型问题正解的多重性和集中性

Pub Date : 2024-03-03 DOI:10.12775/tmna.2023.026

Jie Yang, Lintao Liu, Fengjuan Meng

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引用次数: 0

摘要

本文旨在研究涉及正电势和临界增长无穷大的连续非线性的$(p,q)$ 基尔霍夫型问题的正解的多重性和集中性。我们应用惩罚技术、截断方法和 Lusternik-Schnirelmann 理论，研究了正解的数量与势 $V$ 达到最小值的集合拓扑之间的关系。

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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Multiplicity and concentration of positive solutions to the double phase Kirchhoff type problems with critical growth

The aim of this paper is to study the multiplicity and concentration of positive solutions to the $(p,q)$ Kirchhoff-type problems involving a positive potential and a continuous nonlinearity with critical growth at infinity. Applying penalization techniques, truncation methods and the Lusternik-Schnirelmann theory, we investigate a relationship between the number of positive solutions and the topology of the set where the potential $V$ attains its minimum values.

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