کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4612922 1338715 2009 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and regularity to an elliptic equation with logarithmic nonlinearity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and regularity to an elliptic equation with logarithmic nonlinearity
چکیده انگلیسی

We study the nonlinear elliptic problem −Δu=χ{u>0}(logu+λf(x,u)) in Ω⊂Rn with u=0 on ∂Ω. The function is nondecreasing, sublinear and fu is continuous. For every λ>0, we obtain a maximal solution uλ⩾0 and prove its global regularity . There is a constant λ∗ such that uλ vanishes on a set of positive measure for 0<λ<λ∗, and uλ>0 for λ>λ∗. If f is concave, for λ>λ∗ we characterize uλ by its stability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 246, Issue 2, 15 January 2009, Pages 482-511