کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838015 908353 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Large solutions for quasilinear elliptic equation with nonlinear gradient term
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Large solutions for quasilinear elliptic equation with nonlinear gradient term
چکیده انگلیسی

We study the existence, asymptotic behavior near the boundary and uniqueness of large solutions for a class of quasilinear elliptic equation with a nonlinear gradient term. By constructing the suitable blow-up upper and lower solutions, we obtain the existence and the asymptotic behavior of radial large solutions of the problem in balls and then derive the existence of solutions in a general domain by a comparison argument. By using a perturbation method and constructing comparison functions, we show the exact asymptotic behavior of any nonnegative solution of it near the boundary. The uniqueness is shown by a standard argument.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 1, February 2011, Pages 455–463
نویسندگان
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