利用打靶法求解含梯度项的拟线性椭圆问题：存在性结果
偏微分方程分析
2011-11-17 v3
摘要
本文针对以下带有特殊非线性梯度项的非线性椭圆问题，获得了有界正整体径向解的存在性：-\triangle_{p}u-b(x)|\nablau|^{p-1}=a(x)f(u), x\inR^{N} (N\geq3), lim_{|x|\rightarrow \infty}u(x)=0，其中 \triangle_{p}u=div[big]<LaTeX>\big(</LaTeX>|\nablau|^{p-2}\nablau[big]<LaTeX>\big)</LaTeX>，1<p<N，a(x)=a(|x|)、b(x)=b(|x|) 为连续函数，且 f\inC^1(0,\infty) 可能在零点处奇异。
引用
@article{arxiv.1105.2570,
title = {Existence results for a quasilinear elliptic problem with a gradient term via shooting method},
author = {Dragos-Patru Covei},
journal= {arXiv preprint arXiv:1105.2570},
year = {2011}
}
备注
This paper has been withdrawn by the author due to a crucial sign error