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Current Research in Nonlinear Analysis : In Honor of Haim Brezis and Louis Nirenberg

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概要 Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s u...nderstanding of theories, methods, and techniques utilized to solve significant problems. Topics include: Sobolev Spaces Maximal monotone operators A theorem of Brezis-Nirenberg Operator-norm convergence of the Trotter product formula Elliptic operators with infinitely many variables Pseudo-and quasiconvexities for nonsmooth function Anisotropic surface measures Eulerian and Lagrangian variables Multiple periodic solutions of Lagrangian systems Porous medium equation Nondiscrete Lassonde-Revalski principle Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg’s fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.続きを見る
目次 Chapter 01- Anisotropic surface measures as limits of volume fractions
Chapter 02- Failure of the chain rule in the non steady two-dimensional setting
Chapter 03- On the maximality of the sum of two maximal monotone operators
Chapter 04- Analysis and simulation of a model of phosphorus uptake by plant roots
Chapter 05- Elliptic operators with infinitely many variables
Chapter 06- On generalized pseudo-and quasiconvexities for nonsmooth function
Chapter 07- On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system
Chapter 08- Sum-intersection property of Sobolev spaces
Chapter 09- Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey
Chapter 10- Multiple periodic solutions of Lagrangian systems of relativistic oscillators
Chapter 11- Applications of a theorem of Brezis-Nirenberg
Chapter 12- Porous medium equation with nonlocal pressure
Chapter 13- Nondiscrete Lassonde-Revalski principle and dependent choice.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2018 English/International

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登録日 2020.06.27
更新日 2020.06.28