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Boundary Value Problems
Boundary Value Problems Cover Image
  • Research Article
  • Open Access

Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations

Boundary Value Problems20072007:016407

https://doi.org/10.1155/2007/16407

©  Z. Yang and B. Xu 2007

  • Received: 29 June 2006
  • Accepted: 17 October 2006
  • Published:

Abstract

We consider the problem where is not identically zero. Under the condition that satisfies (H), we show that there exists such that the above-mentioned equation admits at least one solution for all . This extends the results of Laplace equation to the case of -Laplace equation.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Elliptic Equation

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Authors’ Affiliations

(1)
Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Jiangsu, Nanjing, 210097, China

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Copyright

© Z. Yang and B. Xu 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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