Existence of positive solutions to nonlinear elliptic problem in the half space
Date
2005-04-14
Authors
Bachar, Imed
Maagli, Habib
Zribi, Malek
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
This paper concerns nonlinear elliptic equations in the half space ℝn+ := {x = (x' , xn) ∈ ℝn : xn > 0}, n ≥ 2, with a nonlinear term satisfying some conditions related to a certain Kato class of functions. We prove some existence results and asymptotic behaviour for positive solutions using a potential theory approach.
Description
Keywords
Green function, Elliptic equation, Positive solutions
Citation
Bachar, I., Mâagli, H., & Zribi, M. (2005). Existence of positive solutions to nonlinear elliptic problem in the half space. <i>Electronic Journal of Differential Equations, 2005</i>(44), pp. 1-16.
Rights
Attribution 4.0 International