کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614873 1339302 2015 41 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Large solutions of elliptic semilinear equations in the borderline case. An exhaustive and intrinsic point of view
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Large solutions of elliptic semilinear equations in the borderline case. An exhaustive and intrinsic point of view
چکیده انگلیسی

We revisit the problem Δu=f(u)Δu=f(u) in Ω, u(x)→∞u(x)→∞ as x→∂Ωx→∂Ω, where Ω⊂RNΩ⊂RN, N>1N>1, is a bounded smooth domain and f   is an increasing and continuous function in R+R+ with f(0+)=0f(0+)=0 for which the Keller–Osserman condition holds. We study uniqueness of solutions, extending known results about the boundary blow-up behavior of solutions. Furthermore, we obtain explicit representations for the second order terms in the explosive boundary expansion of solutions under intrinsic and direct assumptions. Our study is exhaustive including both ordinary and borderline cases providing new and sharp results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 431, Issue 1, 1 November 2015, Pages 365–405
نویسندگان
, , ,