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。
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.
出处
《理论数学》
2023年第2期131-148,共18页
Pure Mathematics
