Applied Mathematics and Mechanics

, Volume 24, Issue 1, pp 99–108 | Cite as

Existence of solutions for nonlinear elliptic boundary value problems

  • Shao Rong
  • Niu Xin
  • Shen Zu-he
Article
  • 21 Downloads

Abstract

Hilbert space method is applied to a class of semilinear second-order elliptic boundary value problems and the existence of solutions is obtained with some restrictions.

Key words

Hilbert space coercivity condition compact imbedding mapping elliptic equation 

Chinese Library Classification

O175.25 O177 

2000 MR Subject Classification

34B15 

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References

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Shao Rong
    • 1
  • Niu Xin
    • 2
  • Shen Zu-he
    • 1
  1. 1.Department of MathematicsNanjing UniversityNanjingChina
  2. 2.Department of MathematicsFuyang Teacher's CollegeFuyang, AnhuiChina

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