标题: | SYMMETRY-BREAKINGS FOR SEMILINEAR ELLIPTIC-EQUATIONS OF FINITE CYLINDRICAL DOMAINS |
作者: | LIN, SS 交大名义发表 应用数学系 National Chiao Tung University Department of Applied Mathematics |
关键字: | SYMMETRY BREAKING;CYLINDERS |
公开日期: | 1-三月-1993 |
摘要: | We study the existence and multiplicity of asymmetric positive solutions of a semilinear elliptic equation on finite cylinders with mixed type boundary conditions. By using a Nehari-type variational method, we prove that the numbers of asymmetric positive solutions are increasing without bound when the lengths of cylinders are increasing. On the contrary, by using the blow up technique, we obtain an a priori bound for positive solutions and then prove that all positive solutions must be symmetric when the cylinders are short enough. |
URI: | http://dx.doi.org/10.2307/2159147 http://hdl.handle.net/11536/3111 |
ISSN: | 0002-9939 |
DOI: | 10.2307/2159147 |
期刊: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
Volume: | 117 |
Issue: | 3 |
起始页: | 803 |
结束页: | 811 |
显示于类别: | Articles |
文件中的档案:
If it is a zip file, please download the file and unzip it, then open index.html in a browser to view the full text content.