Boundary Value Problems

, 2007:016407 | Cite as

Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations

Open Access
Research Article

Abstract

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

Keywords

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

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Copyright information

© 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.

Authors and Affiliations

  1. 1.Institute of Mathematics, School of Mathematics and Computer SciencesNanjing Normal UniversityJiangsuChina

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