In this article, we analyze the boundary behavior of solutions to the boundary blow-up elliptic problem
where is a bounded domain with smooth boundary in , grows slower than any ( ) at infinity, and which is non-negative in and positive near , may be vanishing on the boundary.
Submitted June 30, 2012. Published August 19, 2012.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Semilinear elliptic equations; boundary blow-up; boundary behavior; borderline cases.
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| Zhijun Zhang |
School of Mathematics and Information Science
Yantai, Shandong, 264005, China
email: email@example.com, firstname.lastname@example.org
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