WorldCat Identities

Ghoussoub, N. (Nassif) 1953-

Overview
Works: 16 works in 76 publications in 4 languages and 1,605 library holdings
Roles: Creator
Classifications: QA374, 515.353
Publication Timeline
Key
Publications about  N Ghoussoub Publications about N Ghoussoub
Publications by  N Ghoussoub Publications by N Ghoussoub
Most widely held works by N Ghoussoub
Self-dual partial differential systems and their variational principles by N Ghoussoub ( )
20 editions published between 2008 and 2009 in English and held by 455 WorldCat member libraries worldwide
Based on recent research by the author and his graduate students, this text describes novel variational formulations and resolutions of a large class of partial differential equations and evolutions, many of which are not amenable to the methods of the classical calculus of variations. While it contains many new results, the general and unifying framework of the approach, its versatility in solving a disparate set of equations, and its reliance on basic functional analytic principles, makes it suitable for an intermediate level graduate course. The applications, however, require a fair knowledge of classical analysis and PDEs which is needed to make judicious choices of function spaces where the self-dual variational principles need to be applied. It is the author's hope that this material will become standard for all graduate students interested in convexity methods for PDEs. Nassif Ghoussoub is a Distinguished University Professor at the University of British Columbia. He was editor-in-chief of the Canadian Journal of Mathematics for the period 1993-2003, and has served on the editorial board of various international journals. He is the founding director of the Pacific Institute for the Mathematical Sciences (PIMS), and a co-founder of the MITACS Network of Centres of Excellence. He is also the founder and scientific director of the Banff International Research Station (BIRS). He is the recipient of many awards, including the Coxeter-James, and the Jeffrey-Williams prizes. He was elected Fellow of the Royal Society of Canada in 1993, and was the recipient of a Doctorat Honoris Causa from the Universite Paris-Dauphine in 2004
Duality and perturbation methods in critical point theory by N Ghoussoub ( Book )
15 editions published between 1993 and 2008 in English and held by 371 WorldCat member libraries worldwide
Some topological and geometrical structures in Banach spaces by Nasiff Ghoussoub ( Book )
10 editions published between 1987 and 1989 in English and Undetermined and held by 239 WorldCat member libraries worldwide
H [delta]-embeddings in Hilbert space and optimization on G [delta]-sets by N Ghoussoub ( Book )
11 editions published in 1986 in English and held by 230 WorldCat member libraries worldwide
Functional inequalities : new perspectives and new applications by N Ghoussoub ( Book )
5 editions published in 2013 in English and held by 181 WorldCat member libraries worldwide
"The book describes how functional inequalities are often manifestations of natural mathematical structures and physical phenomena, and how a few general principles validate large classes of analytic/geometric inequalities, old and new. This point of view leads to "systematic" approaches for proving the most basic inequalities, but also for improving them, and for devising new ones--sometimes at will and often on demand. These general principles also offer novel ways for estimating best constants and for deciding whether these are attained in appropriate function spaces. As such, improvements of Hardy and Hardy-Rellich type inequalities involving radially symmetric weights are variational manifestations of Sturm's theory on the oscillatory behavior of certain ordinary differential equations. On the other hand, most geometric inequalities, including those of Sobolev and Log-Sobolev type, are simply expressions of the convexity of certain free energy functionals along the geodesics on the Wasserstein manifold of probability measures equipped with the optimal mass transport metric. Caffarelli-Kohn-Nirenberg and Hardy-Rellich-Sobolev type inequalities are then obtained by interpolating the above two classes of inequalities via the classical ones of Hölder. The subtle Moser-Onofri-Aubin inequalities on the two-dimensional sphere are connected to Liouville type theorems for planar mean field equations."--Publisher's website
Mathematical analysis of partial differential equations modeling electrostatic MEMS by Pierpaolo Esposito ( Book )
4 editions published in 2010 in English and held by 113 WorldCat member libraries worldwide
"Micro- and nanoelectromechanical systems (MEMS and NEMS), which combine electronics with miniature-size mechanical devices, are essential components of modern technology. It is the mathematical model describing 'electrostatically actuated' MEMS that is addressed in this monograph. Even the simplified models that the authors deal with still lead to very interesting second- and fourth-order nonlinear elliptic equations (in the stationary case) and to nonlinear parabolic equations (in the dynamic case). While nonlinear eigenvalue problems - where the stationary MEMS models fit - are a well-developed field of PDEs, the type of inverse square nonlinearity that appears here helps shed a new light on the class of singular supercritical problems and their specific challenges. Besides the practical considerations, the model is a rich source of interesting mathematical phenomena. Numerics, formal asymptotic analysis, and ODE methods give lots of information and point to many conjectures. However, even in the simplest idealized versions of electrostatic MEMS, one essentially needs the full available arsenal of modern PDE techniques to do the required rigorous mathematical analysis, which is the main objective of this volume. This monograph could therefore be used as an advanced graduate text for a motivational introduction to many recent methods of nonlinear analysis and PDEs through the analysis of a set of equations that have enormous practical significance."--Publisher's description
Sur les différentes classes d'ensembles bornes pour des contractions de L1 et processus de Harris by N Ghoussoub ( Book )
1 edition published in 1975 in French and held by 3 WorldCat member libraries worldwide
PROCESSUS DE MARKOV - CADRE PROBABILISTE ET CADRE ABSTRAIT. FONCTIONS SPECIALES ET MESURES INVARIANTES D'UN PROCESSUS DE MARKOV. SUR LES DIFFERENTES CLASSES D'ENSEMBLES BORNES D'UN PROCESSUS DE MARKOV. PROCESSUS DE HARRIS. OPERATEUR POTENTIEL ET FONCTIONS COSPECIALES
PROCESSUS ET MESURES VECTORIELS : TOPOLOGIE ET GEOMETRIE DANS LES ESPACES DE BANACH RETICULES by N Ghoussoub ( Book )
1 edition published in 1979 in French and held by 3 WorldCat member libraries worldwide
MESURES ET PROCESSUS A VALEURS DANS LES ESPACES DE RIESZ. PROCESSUS NON SOUS-ADDITIFS A VALEURS VECTORIELLES ET APPLICATIONS EN PROBABILITE. ESPACES DE BANACH RETICULES LOCALEMENT UNIFORMEMENT CONVEXIFIABLES ET APPLICATIONS. DENTABILITE D'ORDRE ET LA PROPRIETE DE RADON-NIKODYM DANS LES ESPACES DE BANACH RETICULES
Vector valued subadditive processes and applications in probability by Stanford University ( )
2 editions published in 1979 in English and held by 2 WorldCat member libraries worldwide
Dunford-Pettis and order dentable operators on L1 by N Ghoussoub ( Book )
1 edition published in 1980 in English and held by 2 WorldCat member libraries worldwide
H<delta> embeddings in Hilbert space and optimization on G<delta>-sets by N Ghoussoub ( Book )
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Pluriharmonically dentable complex Banach Spaces by N Ghoussoub ( Book )
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Al Maǧmūʻaẗ al-kāmilaẗ by N Ghoussoub ( Book )
1 edition published in 1997 in Arabic and held by 1 WorldCat member library worldwide
A counterexample to a problem on points of continuity in Banach spaces by N Ghoussoub ( Book )
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Dedicated to H.S.M. Coxeter, cofounder of this journal ( Book )
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
H g -embeddings in Hilbert space and optimization on G g -sets by N Ghoussoub ( Book )
1 edition published in 1986 in Italian and held by 1 WorldCat member library worldwide
 
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Audience level: 0.79 (from 0.00 for PROCESSUS ... to 0.92 for Mathematic ...)
Alternative Names
Ghoussoub, N.
Ghoussoub, N. 1953-
Ghoussoub, Nassif
Ghoussoub, Nassif 1953-
Languages
English (71)
French (2)
Arabic (1)
Italian (1)
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