环绕定理在退化的椭圆型方程上的应用

An Application of Linking Theorem to Degenerative Elliptic Equations

该文考虑一类带临界增长项的退化的椭圆型偏微分方程解的存在性,利用变量代换的方法,把方程转化为半线性方程,再利用集中紧引理以及基于锥分解的环绕定理,证明了方程解的存在性.

In this paper,we study a class of degenerative quasilinear elliptic equations with critical exponent.Using a change of variable,we reformulate the equation into a semilinear one,and prove the existence of solutions by employing Lions concentration compactness principle and linking theorem based on cone.