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|Type:||Artigo de periódico|
|Title:||The extremal solution of a boundary reaction problem|
|Abstract:||We consider Delta u = 0 in Omega, partial derivative u/partial derivative v = lambda f(u) on Gamma(1), u= 0 on Gamma(2) where lambda > 0, f(u) = e(u) or f(u) = (1 + u)(p), Gamma(1), Gamma(2) is a partition of partial derivative Omega and Omega subset of R-N. We determine sharp conditions on the dimension N and p > 1 such that the extremal solution is bounded, where the extremal solution refers to the one associated to the largest lambda for which a solution exists.|
|Editor:||Amer Inst Mathematical Sciences|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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