节点文献
带Robin边值条件的半线性奇异椭圆方程正解的存在性(英文)
EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH ROBIN BOUNDARY CONDITIONS
【摘要】 本文研究了一类带Robin边值条件的半线性奇异椭圆方程.通过Hardy不等式,山路引理以及选取适当的试验函数验证局部PS条件,得到了此类方程正解的存在性这一结果.
【Abstract】 In this paper, we investigate a class of semilinear singular elliptic equations with Robin boundary conditions. By Hardy inequality, Mountain-Pass Theorem and chosing a test function to verify local PS conditions, we obtain the existence of positive solutions of such equations.
【关键词】 正解;
紧性;
临界Sobolev-Hardy指数;
Hardy不等式;
椭圆方程;
【Key words】 positive solutions; compactness; critical Sobolev-Hardy exponent; Hardy inequality; elliptic equation.;
【Key words】 positive solutions; compactness; critical Sobolev-Hardy exponent; Hardy inequality; elliptic equation.;
【基金】 the Natural Science Foundation of China (10171036)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2008年05期
- 【分类号】O175.25
- 【被引频次】4
- 【下载频次】75