Abbas Bahri

Q: What Schools Are Affiliated With Abbas Bahri

Abbas Bahri is affiliated with the following schools: Rutgers University, Amirkabir University of Technology, University of Chicago, Tunis University, Côte d'Azur University

Abbas Bahri's AcademicInfluence.com Rankings

Abbas Bahri

Mathematics

#595

World Rank

#1115

Historical Rank

Measure Theory

#1937

World Rank

#2358

Historical Rank

mathematics Degrees

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Mathematics

Why Is Abbas Bahri Influential?

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According to Wikipedia, Abbas Bahri was a Tunisian mathematician. He was the winner of the Fermat Prize and the Langevin Prize in mathematics. He was a professor of mathematics at Rutgers University. He mainly studied the calculus of variations, partial differential equations, and differential geometry. He introduced the method of the critical points at infinity, which is a fundamental step in the calculus of variations.

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Abbas Bahri's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain (1988) (743)
Critical points at infinity in some variational problems (1989) (390)
A perturbation method in critical point theory and applications (1981) (271)
On a variational problem with lack of compactness: the topological effect of the critical points at infinity (1995) (255)
On the existence of a positive solution of semilinear elliptic equations in unbounded domains (1997) (244)
On a Min-Max Procedure for the Existence of a Positive Solution for Certain Scalar Field Equations in $\mathbb R^N$ (1990) (219)
Morse index of some min-max critical points (1988) (195)
Solutions of superlinear elliptic equations and their morse indices (1992) (168)
An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension (1996) (161)
Periodic solutions of Hamiltonian systems of 3-body type (1991) (124)
A minimax method for a class of Hamiltonian systems with singular potentials (1989) (105)
Topological results on a certain class of functionals and application (1981) (92)
Existence of Forced Oscillations for Some Nonlinear Differential Equations. (1984) (77)
Forced vibrations of superquadratic Hamiltonian systems (1984) (75)
Periodic solutions of a nonlinear wave equation (1980) (58)
Pseudo-orbits of Contact Forms (1988) (42)
Flow Lines and Algebraic Invariants in Contact Form Geometry (2003) (29)
The difference of topology at infinity in changing-sign Yamabe problems on ?3 (the case of two masses) (2001) (21)
Critical points at infinity in the variational calculus (1988) (21)
Classical and Quantic Periodic Motions of Multiply Polarized Spin-Particles (1997) (20)
Recent Progress in Conformal Geometry (2003) (16)
Noncompact problems at the intersection of geometry, analysis, and topology : proceedings of the Brezis-Browder Conference, Noncompact Variational Problems and General Relativity, October 14-18, 2001, Rutgers, the State University of New Jersey, New Brunswick, NJ (2004) (14)
Homology Computation (2008) (10)
Superlinear elliptic equations (1987) (9)
On the contact homology of the first exotic contact form of J. Gonzalo and F. Varela (2014) (9)
Morse relations and Fredholm deformations of v-convex contact forms (2014) (8)
Positive solutions of innomogeneous elliptic boundary value problems in the half space (1990) (7)
Using a pseudo-functionally graded interlayer in order to improve the static and dynamic behavior of wind turbine blade T-bolt root joints (2014) (7)
Linking numbers in contact form geometry, with an application to the computation of the intersection operator for the first contact form of J. Gonzalo and F. Varela (2014) (6)
Variations at infinity in contact form geometry (2009) (5)
Homology for Contact Forms Via Legendrian Curves of General Dual 1-Forms (2008) (4)
Topological Remarks–Critical Points at Infinity and String Theory (2009) (4)
Dynamics of a Contact Structure Along a Vector Field of its Kernel (2008) (3)
Periodic Solutions of Some Problems of 3-Body Type (1990) (3)
A counterexample to the second inequality of Corollary (19.10) in the monograph "Ricci Flow and the Poincare Conjecture" by J.Morgan and G.Tian (2015) (3)
Three-dimensional static and dynamic analyses of the functionally graded cylinder bonded to the laminated plate under general loading (2016) (3)
Proof of the Yamabe Conjecture, Without the Positive Mass Theorem, for Locally Conformally Flat Manifolds (2020) (3)
Conjectures and Suggestions for Directions in Pursuing Research in Nonlinear Analysis (2014) (3)
A Linking/S1-equivariant Variational Argument in the Space of Dual Legendrian Curves and the Proof of the Weinstein Conjecture on S3 ”in the Large” (2015) (2)
A Linking/$S^1$ Equivariant Variational Argument in the space of Dual Legendrian curves and the proof of the Weinstein Conjecture on $S^3$ "in the large" (2015) (2)
An exact solution for improved metal-composite joints reinforced by FG inter-layers (2017) (1)
On the Morse Index of a Functional Arising in Contact Form Geometry (2008) (1)
A remark on the bifurcation diagrams of superlinear elliptic equations (2006) (1)
Attaching maps in the standard geodesics problem on $S^2$ (2011) (1)
A Novel Approach for Numerical Calculation and Optimization of High-Cycle Fatigue Life under Multi-Axial Loads (2014) (1)
Five Gaps in Mathematics (2015) (1)
Errata to: Recent Progress in Conformal Geometry (2004) (0)
A5) and the Critical Points at Infinity of the Third Kind or of Mixed Type (2003) (0)
Sign-Changing Yamabe-Type Problems (2007) (0)
Correction to "$C_1$ in [2] is zero" (2015) (0)
Erratum/Compactness/Recent Progress in Conformal Geometry (2008) (0)
The Difference of Topology Due to a False Critical Point at Infinity of the Third Kind (2003) (0)
Outline of the Book (2021) (0)
Compactness (2008) (0)
The Flow Z0of [2]: Critical Points at Infinity, False and True (2003) (0)
Introduction, Statement of Results, and Discussion of Related Hypotheses (2003) (0)
$C_1$ in [2] is zero (2015) (0)
False Critical Points at Infinity of the Second Kind (2003) (0)
Critical Points at Infinity of Mixed Type (2003) (0)
An Outline for the Removal of (A2) (2003) (0)
Discussion of (A3) (2003) (0)
Recent results in contact form geometry (2003) (0)
True Critical Points at Infinity (2003) (0)
Completion of the Removal of (A5) (2003) (0)
Setup of the Variational Problem (2003) (0)
Removing Condition (A6) (2003) (0)
Critical points at infinity in Yamabe changing-sign equations (2016) (0)
Deformation of immersed Legendrian curves along a pseudo-gradient for the action functional: theH 1 0 -flow at infinity (2012) (0)
Weakening Condition (A4) (2003) (0)
Contact Form Geometry (2007) (0)
Intermediate Section: Recalling the Results Described in the Introduction, Outlining the Content of the Next Sections and How These Results are Derived (2003) (0)

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Other Resources About Abbas Bahri

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What Schools Are Affiliated With Abbas Bahri?

Abbas Bahri is affiliated with the following schools: