论文标题
非线性诺伊曼问题的不存在结果
A non-existence result for a nonlinear Neumann problem
论文作者
论文摘要
在本说明中,我们考虑了$ b_r $的半线性椭圆方程,其中$ b_r $是半径$ r $的球。在某些条件下,只要$ r $就足够大,我们就不存在解决方案的情况建立了足够的条件。主要论点是基于将渐近分析应用于$ r \ gg1 $的方程式。
In this note we consider a semilinear elliptic equation in $B_R$ with the nonlinear boundary condition, where $B_R$ is a ball of radius $R$. Under certain conditions, we establish a sufficient condition on the non-existence of solutions provided that $R$ is sufficiently large. The main argument is based on applying the asymptotic analysis to the equation with respect to $R\gg1$.