带指数增长型Neumann边界条件的Laplace方程解的存在性

The existence for the solution of the Laplace equation with an exponential Neumann boundary condition

该文应用Mini-Max方法和Blow-up分析,证明了当参数在一个取值区间内时,一类Laplace方程在非线性指数增长型Neumann边界条件下解的存在性结论。

Using Mini-Max method and Blow-up analysis, the existence for the solution of a class of the Laplace equation with an exponential Neumann boundary condition was given when the parameter lies in a certain interval.