一个带边界摄动的非线性特征值问题

A Nonlinear Eigenvalue Problem with Boundary Perturbed

本文考虑一类带有临界指数的Emden-Fowler方程特征值和特征函数的摄动,给出有关的估计,并应用于一个带边界摄动的半线性椭圆型方程的特征值问题,得到摄动问题特征值和特征函数的适当的估计式。

In this paper, we investigate how the eigenvalue of the Emden-Fowler equation varies as the 1st zero of its eigenfunction is perturbed, then, apply this result to a elgenvalue problem of semilinear elliptic equations with the boundary perturbed and abtain some estimates.