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Solutions of semilinear elliptic equations with many isolated singularities: the unstable case

✍ Scribed by Yomna Rébaı̈

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
38
Category
Article
ISSN
0362-546X

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The existence of large solutions of semilinear elliptic equations with negative exponents
✍ Lei Wei 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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