Open Access

Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations

Boundary Value Problems20072007:016407

Received: 29 June 2006

Accepted: 17 October 2006

Published: 9 January 2007


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.


Authors’ Affiliations

Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University


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© Z. Yang and B. Xu 2007

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