Boundary blow-up for a Brezis-Peletier problem on a singular domain
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作者:
Pistoia, A
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Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00100 Rome, ItalyUniv Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00100 Rome, Italy
Pistoia, A
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]
Rey, O
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机构:Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00100 Rome, Italy
Rey, O
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[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00100 Rome, Italy
[2] Ecole Polytech, Ctr Math, F-91128 Palaiseau, France
Let (Ω) over tilde is an element of R-N, Ngreater than or equal to3, be a bounded domain as defined by Flucher, Garroni and Muller [6], which has a singular point (x) over bar is an element of partial derivative(Ω) over tilde such that the Robin's function achieves its infimum at (x) over bar. Considering the elliptic problem (P-epsilon):-Deltau=u(p-epsilon), u>0 in (Ω) over tilde; u=0 on partial derivative(Ω) over tilde, with p=(N+2)/(N-2), epsilon>0, and u(epsilon) a minimizing solution of (P-epsilon), u(epsilon) concentrates at (x) over bar as epsilon goes to zero.
机构:
Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain
Univ La Laguna, Fac Fis, Inst Univ Estudios Avanzados IUdEA Fis Atom Mol &, San Cristobal la Laguna 38203, SpainUniv La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain