Existence, boundary behavior and asymptotic behavior of solutions to singular elliptic boundary-value problems
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Date
2016-03-31
Authors
Gao, Ge
Yan, Baoqiang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the singular elliptic boundary-value problem
-∆u + ƒ(u) - u-γ = λu in Ω, u > 0 in Ω, u = 0 on ∂Ω.
Using the upper-lower solution method, we show the existence and uniqueness of the solution. Also we study the boundary behavior and asymptotic behavior of the positive solutions.
Description
Keywords
Elliptic boundary value problem, Existence, Boundary behavior, Asymptotic behavior
Citation
Gao, G., & Yan, B. (2016). Existence, boundary behavior and asymptotic behavior of solutions to singular elliptic boundary-value problems. <i>Electronic Journal of Differential Equations, 2016</i>(89), pp. 1-13.
Rights
Attribution 4.0 International