一类奇异椭圆问题解的不存在性
Nonexistence of Solutions to a Class of Singular Elliptic Problems with First Oeder Terms
摘要
通过对一类带有一阶项的奇异椭圆问题的参数研究,得到了这类带有一阶项的奇异椭圆问题的解的不存在性的充分条件,并利用Pohozaev恒等式证明所得结论.
The sufficient condition of nonexistence of solutions to a class of singular elliptic problems with first order terms is obtained by the study of its parameters.And the conclusion is proved by Pohozaev identity.
出处
《内江师范学院学报》
2008年第12期21-23,共3页
Journal of Neijiang Normal University
参考文献5
-
1[1]Smets D,Tesei A.On a class of singular elliptic problems with first order terms[J].Advances in Differential Equations,2003,8 (3):257-278.
-
2[2]Caldiroli P,Musina R.Existence and nonexistence results for a class of nonlinear singular Sturm-Liouville equations[J].Advances in Differential Equations,2001,6 (3):303-326.
-
3[3]Caldiroli P,Musina R.On a class of 2-dimensional singular elliptic problems[J].Proceedings of the Royal Society of Edinburgh,2001,131A:479-497.
-
4[4]Moschini L,Pohozaev S I,and Tesei A.Existence and nonexistence of solutions of nonlinear Dirichlet problems with first order terms[J].J.Funct.Anal.,2000,177 (2):365-382.
-
5[5]Pohozaev S I,Tesei A.Nonexistence of local solutions to sernilinear partial differential inequalities[J].Annales de 1' Institut Henri Pouncare(C) Non Linear Analtsis,2004,21(4):487-502.
-
1欧阳资考.一类奇异椭圆问题解的存在性[J].内江师范学院学报,2009,24(4):18-21. 被引量:1
-
2彭超权,刘颖,王芳.R^N上具有渐近线性项的奇异椭圆问题的研究(英文)[J].应用数学,2015,28(2):303-309.
-
3刘希玉,孙文星.一类奇异椭圆问题的弱解[J].西南师范大学学报(自然科学版),2001,26(1):7-12. 被引量:1
-
4李长峰.一般抛物方程的区域分裂差分方法[J].工程数学学报,2005,22(3):547-550. 被引量:3
-
5安智,康东升.一类奇异椭圆问题的解的渐近性[J].中南民族大学学报(自然科学版),2009,28(1):116-119.
-
6李贵清.关于几类椭圆方程的解的非存在性结果(英文)[J].孝感学院学报,2003,23(6):28-31.
-
7郭春香,庄小红.利用概率思想证明不等式和恒等式[J].内江科技,2009,30(9):162-162.
-
8牛素君.试谈具有代数条件的恒等式证明[J].数理化解题研究(高中版),2002(2):29-29.
-
9周伟芯.由组合恒等式证明看数学思维品质的培养[J].数学之友,2011,25(20):60-62.
-
10杨林,贺勤.一个积分恒等式证明的新方法[J].科技信息,2009(4):8-8.