一类 p-Laplace 方程基态解的存在性与集中性
Existence and Concentration ofGround States for a Class ofp-Laplace Equation
DOI: 10.12677/PM.2023.132016, PDF, HTML, 下载: 178  浏览: 364  国家自然科学基金支持
作者: 石影：浙江师范大学数学与计算机科学学院，浙江 金华
关键词: p-Laplace；基态解；存在性；集中性；p-Laplace； Ground States； Existence； Concentration
摘要: 本文研究 p-Laplace 方程:其中:。当n→∞时，有界函数Qn(x)的自焦核supp{Qn+}收缩为有限点集。我们采用约束极小和集中紧性原理证明 p-Laplace 方程基态解的存在性和集中性。
Abstract: In this paper, we study the following p-Laplace equation: where .Qn are bounded functions with self-focusing core supp Qn+ which shrinks to a finite set of points as n→∞. Via the constraint minimizing method and the concentration compactness principle, we prove the existence and concentration for ground states.
文章引用：石影. 一类 p-Laplace 方程基态解的存在性与集中性[J]. 理论数学, 2023, 13(2): 131-148. https://doi.org/10.12677/PM.2023.132016

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