数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 409-414.doi: 10.1016/S0252-9602(09)60040-0

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TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONSTWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS

黄飞敏   

  1. Institute of Applied Mathematics, AMSS, Academia Sinica, Beijing 100080, China
  • 收稿日期:2006-11-29 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:

    Huang’s research is supported in part by NSFC (10471138), NSFC-NSAF (10676037), and 973 project of China (2006CB805902)

TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONSTWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS

Huang Feimin   

  1. Institute of Applied Mathematics, AMSS, Academia Sinica, Beijing 100080, China
  • Received:2006-11-29 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Huang’s research is supported in part by NSFC (10471138), NSFC-NSAF (10676037), and 973 project of China (2006CB805902)

PDF (PC)

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摘要：

In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded
domain.

关键词: Hermite elliptic equation, modified Sobolev space, eigenvalue problem

Abstract:

In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded
domain.

Key words: Hermite elliptic equation, modified Sobolev space, eigenvalue problem

中图分类号: 

  • 35J60
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