一类非齐次非线性椭圆方程解的存在性

Existence of Solutions for a Class of Nonhomogeneous Nonlinear Elliptic Equations

椭圆型偏微分方程非线性边值问题是重要研究内容之一.研究一类非齐次非线性椭圆方程边值问题,运用Nehair流形方法证明该方程至少存在一个非平凡非负解.

The nonlinear boundary value problem of elliptic partial differential equations is one of the important research contents.In this paper,it studies the boundary value problem of a class of non-homogeneous nonlinear elliptic equations,it is proved that the equation has at least one nontrivial nonnegative solution by using the nehair manifold method.