Nonlinear Neumann problems on bounded Lipschitz domains
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Date
2005-01-12
Authors
Siai, Abdelmajid
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We prove existence and uniqueness, up to a constant, of an entropy solution to the nonlinear and non homogeneous Neumann problem
-div [a(., ∇u)] + β(u) = ƒ in Ω
∂u / ∂va + γ(τu) = g on ∂Ω.
Our approach is based essentially on the theory of m-accretive operators in Banach spaces, and in order preserving properties.
Description
Keywords
Nonlinear Neumann problem, m-Completely accretive operator
Citation
Siai, A. (2005). Nonlinear Neumann problems on bounded Lipschitz domains. <i>Electronic Journal of Differential Equations, 2005</i>(09), pp. 1-16.
Rights
Attribution 4.0 International