THE DUAL EIGENVALUE PROBLEMS FOR p-LAPLACIAN

被引：5
|
作者：
Cheng, Y. -H. [1 ]
Lian, W. -C. [2 ]
Wang, W. -C. [3 ]
机构：
[1] Natl Taipei Univ Educ, Dept Math & Informat Educ, Taipei 106, Taiwan
[2] Natl Kaohsiung Marine Univ, Dept Informat Management, Kaohsiung 811, Taiwan
[3] Natl Quemoy Univ, Gen Educ Ctr, Kinmen 892, Taiwan
来源：
ACTA MATHEMATICA HUNGARICA | 2014年 / 142卷 / 01期
关键词：
p-Laplacian; eigenvalue gap; eigenvalue ratio; DIMENSIONAL SCHRODINGER-OPERATORS; RATIOS; GAP; MINIMUM;
D O I：
10.1007/s10474-013-0356-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the eigenvalue gap/ratio of the p-Laplacian eigenvalue problems, and obtain the minimizer of the eigenvalue gap for the single-well potential function. For the dual result, we also obtain the minimizer of the eigenvalue ratio for the single-barrier density function for p-Laplacian. This extends the results of the classical problem for the case p=2.
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页码：132 / 151
页数：20
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