Faber-Krahn Inequality for Robin Problems Involving p-Laplacian

作     者：Qiu-yi Dai Yu-xia Fu 

作者机构：Department of Mathematics Hunan Normal University Changsha 410081 China Group of Mathematics Dongguan Polytechinic College Dongguan 523808 China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2011年第27卷第1期

页      面：13-28页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (No. 10671064 and No.10971061) the Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province 

主　　题：Robin problem p-Laplacian Faber-Krahn type inequality 

摘      要：The eigenvalue problem for the p-Laplace operator with Robin boundary conditions is considered in this paper. A Faber-Krahn type inequality is proved. More precisely, it is shown that amongst all the domains of fixed volume, the ball has the smallest first eigenvalue.