Weak Solutions of Nonlinear Elliptic Equ
β
Yomna RΓ©baΔ±̈
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Article
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1996
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Elsevier Science
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English
β 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>mΓ(m&2), c