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Języki publikacji
Abstrakty
We study necessary and sufficient conditions for the existence of nonnegative boundary blow-up solutions to the cooperative system $Δ_p u = g(u-αv), Δ_p v = f(v-βu)$ in a smooth bounded domain of $ℝ^N$, where $Δ_p$ is the p-Laplacian operator defined by $Δ_p u = div(|∇u|^{p-2} ∇u)$ with p > 1, f and g are nondecreasing, nonnegative C¹ functions, and α and β are two positive parameters. The asymptotic behavior of solutions near the boundary is obtained and we get a uniqueness result for p = 2.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
297-310
Opis fizyczny
Daty
wydano
2013
Twórcy
autor
- Department of Mathematics, Nantong University, 226007, Nantong, P.R. China
autor
- Department of Mathematics, Nantong University, 226007, Nantong, P.R. China
autor
- College of Mathematics and, Information Science, North China University of, Water Resources and Electric Power, 450011, Zhengzhou, P.R. China
Bibliografia
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-3-5