کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840653 | 908487 | 2012 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous terms
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Boundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous terms Boundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous terms](/preview/png/840653.png)
چکیده انگلیسی
Given a non-negative, and non-trivial continuous real-valued function hh on Ω¯×[0,∞) such that h(x,0)=0h(x,0)=0 for all x∈Ωx∈Ω, we study the boundary value problem equation(BVP){Δ∞u=h(x,u)in Ωu=∞on ∂Ω, where Ω⊆RN,N≥2 is a bounded domain and Δ∞ is the ∞∞-Laplacian, a degenerate elliptic operator. In this paper, we investigate conditions on the inhomogeneous term h(x,t)h(x,t) under which Problem (BVP) admits a solution or fails to admit a solution in C(Ω)C(Ω). Some notable features of this work are that h(x,t)h(x,t) is not required to have any special structure, and no monotonicity condition is imposed on h(x,t)h(x,t). Furthermore, h(x,t)h(x,t) may be allowed to vanish in either of the variables.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 6, April 2012, Pages 3249–3261
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 6, April 2012, Pages 3249–3261
نویسندگان
Ahmed Mohammed, Seid Mohammed,