کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843925 908569 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Boundary behavior of solutions to some singular elliptic boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Boundary behavior of solutions to some singular elliptic boundary value problems
چکیده انگلیسی

Let ΩΩ be a bounded domain with smooth boundary in RN(N≥1). For the more general weight bb, some nonlinearities ff and singularities gg, by two kinds of nonlinear transformations, a new perturbation method, which was introduced by García Melián in [J. García Melián, Boundary behavior of large solutions to elliptic equations with singular weights, Nonlinear Anal. 67 (2007) 818–826], and comparison principles, we show that the boundary behavior of solutions to a boundary blow-up elliptic problem Δw=b(x)f(w),w>0,x∈Ω,w|∂Ω=∞Δw=b(x)f(w),w>0,x∈Ω,w|∂Ω=∞ and a singular Dirichlet problem −Δu=b(x)g(u),u>0,x∈Ω,u|∂Ω=0−Δu=b(x)g(u),u>0,x∈Ω,u|∂Ω=0 has the same form under the nonlinear transformations, which can be determined in terms of the inverses of the transformations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 7, 1 October 2008, Pages 2293–2302
نویسندگان
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