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Partial regularity for weak solutions of nonlinear elliptic equations with supercritical exponents

โœ Scribed by Songbo Hou


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
241 KB
Volume
59
Category
Article
ISSN
0362-546X

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Weak Solutions of Nonlinear Elliptic Equ
โœ Yomna Rรฉbaฤฑ̈ ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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>mร‚(m&2), c