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The second expansion of large solutions for semilinear elliptic equations

✍ Scribed by Zhijun Zhang

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
269 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, we analyze the influence of the domain geometry in the second expansion of solutions to the boundary blow-

where Ω is a bounded domain with C 4 -smooth boundary in R N , b ∈ C Ξ± ( Ξ©) which is positive in Ω and may be vanishing on the boundary, and f is normalized regularly varying at infinity with index p (p > 1).

πŸ“œ SIMILAR VOLUMES

The existence of large solutions of semi
The existence of large solutions of semilinear elliptic equations with negative exponents
✍ Lei Wei πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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