We prove the existence of a unique positive solution to the problem
in , . Our result extended previous works by Cirstea-Radulescu and Dinu, while the proofs are based on two theorems on bounded domains, due to Diaz-Saa and Goncalves-Santos.
Submitted June 8, 2005. Published December 5, 2005.
Math Subject Classifications: 35J60, 35J70.
Key Words: Quasilinear elliptic problem; uniqueness; existence; nonexistence; lower-upper solutions.
A corrigendum was posted on October 8, 2007. Some misprints are corrected and the existence of solutions is clarified. Please see the last page of this manuscript.
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