Weak solutions for a strongly-coupled nonlinear system
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Date
2006-10-16
Authors
Lima, Osmundo A.
Louredo, Aldo T.
Marinho, Alexandro O.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper the authors study the existence of local weak solutions of the strongly nonlinear system
u″ + Au + ƒ(u, v)u = h1
v″ + Av + g(u, v)v = h2
where A is the pseudo-Laplacian operator and ƒ, g, h1 and h2 are given functions.
Description
Keywords
Weak solutions, Coupled system, Monotonic operator
Citation
Lima, O. A., Lourêdo, A. T., & Marinho, A. O. (2006). Weak solutions for a strongly-coupled nonlinear system. <i>Electronic Journal of Differential Equations, 2006</i>(130), pp. 1-18.