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


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