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The existence of large solutions of semilinear elliptic equations with negative exponents

✍ Scribed by Lei Wei

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 318 KB
Volume: 73
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.05.011

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✦ Synopsis

In this work, we consider semilinear elliptic equations with boundary blow-up whose nonlinearities involve a negative exponent. Combining sub-and super-solution arguments, comparison principles and topological degree theory, we establish the existence of large solutions. Furthermore, we show the existence of a maximal large positive solution.

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