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

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Themistocles M. Rassias

Current Research in Nonlinear Analysis

In Honor of Haim Brezis and Louis Nirenberg

Themistocles M. Rassias

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English

Springer International Publishing AG
29 June 2018

Real analysis, real variables; Complex analysis, complex variables; Differential calculus & equations; Numerical analysis; Optimisation

Series: Springer Optimization and Its Applications

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.

Edited by: Themistocles M. Rassias
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2018
Volume: 135
Dimensions: Height: 235mm, Width: 155mm,
Weight: 723g
ISBN: 9783319897998
ISBN 10: 3319897993
Series: Springer Optimization and Its Applications
Pages: 360
Publication Date: 29 June 2018
Audience: Professional and scholarly , College/higher education , Undergraduate , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

Themistocles M. Rassias is a Greek mathematician and a Professor at the National Technical University of Athens. He received the Ph.D. in Mathematics from the University of California at Berkeley under the advice of Stephen Smale. He has been honored with three Honorary Doctorates. He has published more than 300 papers, 10 research books and has received more than 13,000 citations according to Google Scholar and more than 4,500 citations according to MathSciNet. His h-index is 43. He serves as a member of the Editorial Board of several international mathematical journals.