烟台大学学报(自然科学与工程版)2001,Vol.14Issue(1):1-5,5.
带正对流项的一类非线性椭圆型方程爆炸解的存在性
Existence of Explosive Solutions for a Class of Nonlinear Elliptic Problem with a Positive Convection Term
摘要
Abstract
The considered equation is Δu=k(x)[up+|u|q] on a smooth bounded domain Ω for p>1,q∈(1,2] and nonnegative continuous k(x) with property that k is not zero near Ω. The existence of a nonnegative solution u satisfying u|Ω=+∞ is proven.关键词
非线性椭圆方程/正对流项/爆炸解/存在性QKey words
nonlinear elliptic equations/a positive convection term/explosive solutions/existence分类
数理科学引用本文复制引用
张志军..带正对流项的一类非线性椭圆型方程爆炸解的存在性[J].烟台大学学报(自然科学与工程版),2001,14(1):1-5,5.基金项目
国家自然科学基金资助项目(10071066). (10071066)