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The compactness theorem for inhomogeneous semilinear elliptic equations with supercritical exponents

โœ Scribed by Songbo Hou


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
609 KB
Volume
70
Category
Article
ISSN
0362-546X

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The existence of large solutions of semi
โœ Lei Wei ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 318 KB

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 exi