Pseudomonotone Operators and Quasi-Linear Elliptic Differential Equations

Eberhard Zeidler
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Eberhard Zeidler: Sektion Mathematik

Chapter Chapter 27 in Nonlinear Functional Analysis and its Applications, 1990, pp 580-614 from Springer

Abstract: Abstract In this chapter our goal is to treat, in contrast to Section 26.5, more general quasi-linear elliptic equations having terms of lower order which satisfy no monotonicity condition. We introduce pseudomonotone operators for this purpose, i.e., we study the solvability of operator equations of the form E A 1 u + A 2 u = b , u ∈ X ]]

Keywords: Galerkin Method; Operator Equation; Monotone Operator; Dual Pair; Nonlinear Partial Differential Equation (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0981-2_3

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DOI: 10.1007/978-1-4612-0981-2_3

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