کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610692 1338579 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic estimates of boundary blow-up solutions to the infinity Laplace equations
ترجمه فارسی عنوان
برآوردهای آستانه ای از راه حل های منفی مرزی برای معادلات لاپلاس بی نهایت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper we study the asymptotic behavior of boundary blow-up solutions to the equation Δ∞u=b(x)f(u) in Ω, where Δ∞ is the ∞-Laplacian, the nonlinearity f is a positive, increasing function in (0,∞), and the weighted function b∈C(Ω¯) is positive in Ω and may vanish on the boundary. We first establish the exact boundary blow-up estimates with the first expansion when f is regularly varying at infinity with index p>3 and the weighted function b is controlled on the boundary in some manner. Furthermore, for the case of f(s)=sp(1+c˜g(s)), with the function g normalized regularly varying with index −q<0, we obtain the second expansion of solutions near the boundary. It is interesting that the second term in the asymptotic expansion of boundary blow-up solutions to the infinity Laplace equation is independent of the geometry of the domain, quite different from the boundary blow-up problems involving the classical Laplacian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 11, 1 June 2014, Pages 3721-3742
نویسندگان
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