H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 55 Citations 13,908 112 World Ranking 398 National Ranking 209

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

1999 - US President's National Medal of Science "For his pioneering work in nonlinear functional analysis and its applications to partial differential equations, and for leadership in the scientific community.", Presented by President William Clinton in a White House (East Room) ceremony on Tuesday, March 14, 2000.

1978 - Fellow of the American Association for the Advancement of Science (AAAS)

1973 - Member of the National Academy of Sciences

1966 - Fellow of John Simon Guggenheim Memorial Foundation

1959 - Fellow of Alfred P. Sloan Foundation

1953 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Hilbert space
  • Partial differential equation

Felix E. Browder mainly focuses on Pure mathematics, Discrete mathematics, Banach manifold, Mathematical analysis and Banach space. His work carried out in the field of Pure mathematics brings together such families of science as Nonlinear functional analysis and Ordered set. His work is dedicated to discovering how Discrete mathematics, Monotone polygon are connected with Holomorphic functional calculus and other disciplines.

His Banach manifold study incorporates themes from Eberlein–Šmulian theorem, Finite-rank operator and Approximation property. His work in the fields of Operator theory, Jacobi elliptic functions, Elliptic boundary value problem and Mixed boundary condition overlaps with other areas such as Spectral theory of ordinary differential equations. His Banach space research includes elements of Nonlinear operators and Type.

His most cited work include:

  • Applications of functional analysis in mathematical physics (797 citations)
  • NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE. (583 citations)
  • Nonlinear operators and nonlinear equations of evolution in Banach spaces (576 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Banach space, Banach manifold and Lp space. His Pure mathematics research is multidisciplinary, relying on both Fixed point and Monotone polygon. His Mathematical analysis research focuses on Type and how it relates to Integral equation and Nonlinear integral equation.

His study looks at the relationship between Banach space and fields such as Algebra, as well as how they intersect with chemical problems. Felix E. Browder has researched Banach manifold in several fields, including Approximation property, Interpolation space, Finite-rank operator, Eberlein–Šmulian theorem and C0-semigroup. The concepts of his Approximation property study are interwoven with issues in Infinite-dimensional vector function and Reflexive space.

He most often published in these fields:

  • Pure mathematics (39.20%)
  • Mathematical analysis (39.20%)
  • Banach space (24.80%)

What were the highlights of his more recent work (between 1981-2016)?

  • Banach space (24.80%)
  • Pure mathematics (39.20%)
  • Monotone polygon (14.40%)

In recent papers he was focusing on the following fields of study:

Banach space, Pure mathematics, Monotone polygon, Mathematical analysis and Nonlinear functional analysis are his primary areas of study. His research in Banach space is mostly focused on Banach manifold. His research in Pure mathematics is mostly concerned with Fixed-point theorem.

His Fixed-point theorem research is multidisciplinary, incorporating elements of Fixed point and Calculus. Felix E. Browder interconnects Elliptic operator and Degree in the investigation of issues within Monotone polygon. His Nonlinear functional analysis study combines topics from a wide range of disciplines, such as Morse theory, Applied mathematics and Inverse function theorem.

Between 1981 and 2016, his most popular works were:

  • Fixed point theory and nonlinear problems (224 citations)
  • Partial Differential Equations in the 20th Century (76 citations)
  • Degree of mapping for nonlinear mappings of monotone type (47 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Hilbert space
  • Topology

Felix E. Browder spends much of his time researching Pure mathematics, Monotone polygon, Banach space, Degree and Fixed-point theorem. Felix E. Browder performs multidisciplinary study on Pure mathematics and Dynamical systems theory in his works. Felix E. Browder has included themes like Dual, Bounded function, Type and Hilbert space in his Monotone polygon study.

His study in the field of Infinite-dimensional vector function also crosses realms of Pseudo-monotone operator. His research in Fixed-point theorem intersects with topics in Poincaré conjecture, Fixed point, Fixed-point iteration and Calculus. His Poincaré conjecture study combines topics from a wide range of disciplines, such as Ergodic theory, Differentiable function and Duality.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Applications of functional analysis in mathematical physics

S. L. Sobolev;F. E. Browder.
Translations of Mathematical#N# Monographs (1963)

1245 Citations

Nonlinear operators and nonlinear equations of evolution in Banach spaces

Felix E. Browder.
(1976)

911 Citations

NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE.

Felix E. Browder.
Proceedings of the National Academy of Sciences of the United States of America (1965)

910 Citations

The Fixed Point Theory of Multi-valued Mappings in Topological Vector Spaces.

Felix E. Browder.
Mathematische Annalen (1968)

779 Citations

Convergence of approximants to fixed points of nonexpansive nonlinear mappings in banach spaces

Felix E. Browder.
Archive for Rational Mechanics and Analysis (1967)

597 Citations

FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE.

Felix E. Browder.
Proceedings of the National Academy of Sciences of the United States of America (1965)

526 Citations

On the spectral theory of elliptic differential operators. I

Felix E. Browder.
Mathematische Annalen (1961)

503 Citations

Nonlinear mappings of nonexpansive and accretive type in Banach spaces

Felix E. Browder.
Bulletin of the American Mathematical Society (1967)

472 Citations

Convergence theorems for sequences of nonlinear operators in Banach spaces

Felix E. Browder.
Mathematische Zeitschrift (1967)

436 Citations

Nonlinear elliptic boundary value problems

Felix E. Browder.
Bulletin of the American Mathematical Society (1963)

355 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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