Existence and uniqueness of nonnegative solutions for a boundary blow-up problem |
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Authors: | Ahmed Hamydy |
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Affiliation: | Département de Mathématiques et Informatique, Faculté des Sciences, Université Mohammed Premier, Oujda, Morocco |
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Abstract: | Assume that Ω is a bounded domain in RN (N?3) with smooth boundary ∂Ω. In this work, we study existence and uniqueness of blow-up solutions for the problem −Δp(u)+c(x)|∇u|p−1+F(x,u)=0 in Ω, where 2?p. Under some conditions related to the function F, we give a sufficient condition for existence and nonexistence of nonnegative blow-up solutions. We study also the uniqueness of these solutions. |
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Keywords: | Existence Nonexistence Uniqueness Blow-up solution Explosive solution Maximum principle Sub- and super-solution Regularity p-Laplacian |
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