Faber-Krahn Inequality for Robin Problems Involving p-Laplacian  

作　　者：Qiu-yi Dai Yu-xia Fu 

机构地区：[1]Department of Mathematics, Hunan Normal University, Changsha 410081, China [2]Group of Mathematics, Dongguan Polytechinic College, Dongguan 523808, China

出　　处：《Acta Mathematicae Applicatae Sinica》2011年第1期13-28,共16页应用数学学报（英文版）

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

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.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.

关 键 词：Robin problem P-LAPLACIAN Faber-Krahn type inequality 

分 类 号：O186.12[理学—数学] O175.14[理学—基础数学]