精品文档---下载后可任意编辑集中现象与带临界指标半线性椭圆方程的无穷多解的开题报告摘要：本文主要介绍了集中现象和带临界指标半线性椭圆方程的基本概念和性质，并探讨了相应的无穷多解问题。首先，我们回顾了集中现象的概念以及其在微分方程中的应用。接着，我们介绍了带临界指标的半线性椭圆方程，并阐述了其基本性质和一些重要结果。最后，我们讨论了该方程的无穷多解问题，包括无穷多解的存在性、构造和非局部问题等方面，并介绍了一些相关的讨论成果。关键词：集中现象；带临界指标半线性椭圆方程；无穷多解Abstract:This paper mainly introduces the basic concepts and properties of concentration phenomena and semi-linear elliptic equations with critical exponents, and explores the corresponding problem of infinite solutions. First, we review the concept of concentration phenomenon and its application in differential equations. Then, we introduce the semi-linear elliptic equation with critical exponents, and expound its basic properties and some important results. Finally, we discuss the problem of infinite solutions of the equation, including the existence, construction and nonlocality of infinite solutions, and introduce some related research results.Keywords: concentration phenomenon；semi-linear elliptic equation with critical exponents；infinite solutions
