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Titlebook: Current Research in Nonlinear Analysis; In Honor of Haim Bre Themistocles M. Rassias Book 2018 Springer International Publishing AG, part o

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发表于 2025-3-21 18:13:41 | 显示全部楼层 |阅读模式
书目名称Current Research in Nonlinear Analysis
副标题In Honor of Haim Bre
编辑Themistocles M. Rassias
视频video
概述Equips readers with current methods and techniques in nonlinear analysis.Shares tips and insights into emerging research areas.Contains contributions from mathematicians across the world
丛书名称Springer Optimization and Its Applications
图书封面Titlebook: Current Research in Nonlinear Analysis; In Honor of Haim Bre Themistocles M. Rassias Book 2018 Springer International Publishing AG, part o
描述.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 understanding 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..
出版日期Book 2018
关键词Nonlinear Mathematics; Open problems; Nonlinear Analysis; ; Haim Brezis; Louis Nirenberg; Anisotropic surf
版次1
doihttps://doi.org/10.1007/978-3-319-89800-1
isbn_softcover978-3-030-07861-4
isbn_ebook978-3-319-89800-1Series ISSN 1931-6828 Series E-ISSN 1931-6836
issn_series 1931-6828
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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On the Maximality of the Sum of Two Maximal Monotone Operators,ere exist .. ∈ ., . > 0, .. > 0 such that inf.(., . − ..) is lower bounded on each bounded subset of .(.) and, if, for each . ∈ .(.., .), . ∈ .., .. ∈ .(.) and .. ∈ (0, ..) with . for each . = 1, 2, ⋯, . is bounded, then we have . where . is the Yosida resolvent of ., then . + . is maximal monotone.
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Analysis and Simulation of a Model of Phosphorus Uptake by Plant Roots,s. We study mechanistic models of soil water movement and solute transport with root uptake that explicitly take into account the geometry of the root system. We are interested in the mathematical and numerical treatment of the equations arising from these models.
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,On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System,to obtain solutions past wave breaking, it is common to reformulate the original equation given in Eulerian coordinates, into a system of ordinary differential equations in Lagrangian coordinates. It is of considerable interest to study the stability of solutions and how this is manifested in Euleri
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Sum-Intersection Property of Sobolev Spaces, functional calculus in Sobolev spaces, is that we may choose . ∈ .. ∩ .. and . ∈ .. ∩ ... We address here the question of the validity of a similar result for three Sobolev spaces ., .., . satisfying the proportionality relations . For most of .., …, .. satisfying (1), we prove that . In some excep
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Porous Medium Equation with Nonlocal Pressure,w through a porous medium driven by a nonlocal pressure. We consider constant parameters . > 1 and 0 < . < 1, we assume that the solutions are non-negative, and the problem is posed in the whole space. We present a theory of existence of solutions, results on uniqueness, and relation to other models
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Book 2018Nirenberg’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..
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