Existence results for nonlinear elliptic equations in bounded domains of ℝn

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zribi.pdf (222.51 KB)
Date
2006-08-15
Authors
Zribi, Malek
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We establish existence results for the boundary-value problem Δu + ƒ(., u) = 0 in a smooth bounded domain in ℝn (n ≥ 2), where ƒ satisfies some appropriate conditions related to a Kato class. The proofs are based on various techniques related to potential theory.
Description
Keywords
Green function, Elliptic equation, Positive solutions
Citation
Zribi, M. (2006). Existence results for nonlinear elliptic equations in bounded domains of ℝn. <i>Electronic Journal of Differential Equations, 2006</i>(92), pp. 1-11.
URI
https://hdl.handle.net/10877/13965
Collections
Electronic Journal of Differential Equations