Titlebook: Elements of Nonlinear Analysis; Michel Chipot Textbook 2000 Springer Basel AG 2000 Calculus of Variations.Distribution.Euler–Lagrange equa

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A Short Background in Functional Analysis,Let Ω be an open subset of ?., . ≥ 1. We denote by .(Ω) the space of functions of class C. with compact support.

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A Regularity Theory for Nonlocal Variational Inequalities,Let . be a real Hilbert space. We denote by (·,·) the scalar product in . and by | · | the norm associated.

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Uniqueness and Nonuniqueness Issues,In this section we address the question of uniqueness for nonlinear problems. In fact we will consider the question of monotonicity as well since the two questions are related.

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Finite Element Methods for Elliptic Problems,We consider the framework introduced Chapter 3 for the Lax-Milgram Theorem. In other words let . denote a real Hilbert space and .(., .) a bilinear form on . satisfying (3.5), (3.6). For . ∈ .’, the dual space of ., we would like to approximate the solution u of the problem

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Birkh?user Advanced Texts‘ Basler Lehrbücherhttp://image.papertrans.cn/e/image/307618.jpg

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978-3-0348-9563-7Springer Basel AG 2000

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