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Prescribed singular submanifolds of some quasilinear elliptic equations

✍ Scribed by Michèle Grillot

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
132 KB
Volume
34
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Weak Solutions of Nonlinear Elliptic Equ
Weak Solutions of Nonlinear Elliptic Equations with Prescribed Singular Set
✍ Yomna Rébaı̈ 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 536 KB

Given 0 any open and bounded subset of R n , n 4, with smooth boundary and given 7 any (n&m)-dimensional compact submanifold of 0 without boundary, n>m>2, we prove the existence of weak solutions to the problem &2u=u p in 0 { u>0 in 0 u=0 on 0, which are singular on 7, when p is a real p>mÂ(m&2), c