D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 32 Citations 4,855 132 World Ranking 2393 National Ranking 77

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

His primary scientific interests are in Mathematical analysis, Pure mathematics, Bounded function, Applied mathematics and Elliptic curve. His Class, Order and Partial differential equation study in the realm of Mathematical analysis interacts with subjects such as A priori and a posteriori. As a part of the same scientific family, Enzo Mitidieri mostly works in the field of Pure mathematics, focusing on Type and, on occasion, Inequality.

His work carried out in the field of Bounded function brings together such families of science as Discrete mathematics, Ellipse, Dirichlet problem, Sobolev space and Domain. The study incorporates disciplines such as Stochastic partial differential equation, Mathematical economics, Numerical partial differential equations and First-order partial differential equation in addition to Applied mathematics. His Elliptic curve study integrates concerns from other disciplines, such as Elliptic systems, Biharmonic equation, Existence theorem and Mathematical physics.

His most cited work include:

  • A RELLICH TYPE IDENTITY AND APPLICATIONS (308 citations)
  • Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities (234 citations)
  • Positive Solutions of Semilinear Elliptic Systems (219 citations)

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

His main research concerns Mathematical analysis, Pure mathematics, Applied mathematics, Partial differential equation and Order. In his works, Enzo Mitidieri undertakes multidisciplinary study on Mathematical analysis and Maximum principle. His Pure mathematics research incorporates themes from Class, Elliptic systems, Type and Inequality.

His Applied mathematics study combines topics in areas such as Stochastic partial differential equation, Numerical partial differential equations and First-order partial differential equation. Enzo Mitidieri focuses mostly in the field of Partial differential equation, narrowing it down to matters related to Initial value problem and, in some cases, Hyperbolic partial differential equation. The various areas that Enzo Mitidieri examines in his Bounded function study include Domain and Sobolev space.

He most often published in these fields:

  • Mathematical analysis (51.39%)
  • Pure mathematics (31.94%)
  • Applied mathematics (14.58%)

What were the highlights of his more recent work (between 2013-2020)?

  • Mathematical analysis (51.39%)
  • Pure mathematics (31.94%)
  • Order (11.11%)

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

Mathematical analysis, Pure mathematics, Order, Applied mathematics and Type are his primary areas of study. His work on Heat equation, Fourth order and Hyperbolic partial differential equation is typically connected to Compacton and Similarity as part of general Mathematical analysis study, connecting several disciplines of science. The Pure mathematics study combines topics in areas such as Algebraic number, Uniqueness and Inequality.

He combines subjects such as Elliptic systems and Schrödinger equation with his study of Order. The concepts of his Applied mathematics study are interwoven with issues in Infinity, Eigenvalues and eigenvectors and Galerkin method. His studies deal with areas such as Elliptic operator and Divergence as well as Type.

Between 2013 and 2020, his most popular works were:

  • Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (17 citations)
  • Quasilinear elliptic equations with critical potentials (15 citations)
  • Quasilinear elliptic systems in divergence form associated to general nonlinearities (14 citations)

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

  • Mathematical analysis
  • Algebra
  • Geometry

Enzo Mitidieri mainly investigates Mathematical analysis, Pure mathematics, Order, Type and Geometry and topology. His Mathematical analysis research integrates issues from Elliptic systems and Divergence. His studies in Elliptic systems integrate themes in fields like Function, Elliptic operator and Allen–Cahn equation.

His Pure mathematics research focuses on subjects like Uniqueness, which are linked to Potential theory and Class. His Order research is multidisciplinary, incorporating elements of Sobolev space, Integral equation and Schrödinger equation. His Heat equation research includes elements of Korteweg–de Vries equation, Initial value problem and Hyperbolic partial differential equation, Partial differential equation.

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.

Best Publications

A RELLICH TYPE IDENTITY AND APPLICATIONS

Enzo Mitidieri.
Communications in Partial Differential Equations (1993)

391 Citations

Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities

Enzo Mitidieri;Stanislav I. Pokhozhaev.
(2001)

376 Citations

Positive Solutions of Semilinear Elliptic Systems

Ph. Clément;D. G. de Figueiredo;E. Mitidieri.
Communications in Partial Differential Equations (1992)

331 Citations

Nonexistence of positive solutions of semilinear elliptic systems in $\mathbf{R}^N$

Enzo Mitidieri.
Differential and Integral Equations (1996)

209 Citations

A maximum principle for an elliptic system and applications to semilinear problems

Djairo G de Figueiredo;Enzo Mitidieri.
Siam Journal on Mathematical Analysis (1986)

180 Citations

The absence of Global Positive Solutions to Quasilinear Elliptic Inequalities

Enzo Mitidieri;S. I. Pokhozhaev.
Doklady Mathematics (1998)

172 Citations

Hardy inequalities with optimal constants and remainder terms

Filippo Gazzola;Hans-Christoph Grunau;Enzo Mitidieri.
Transactions of the American Mathematical Society (2003)

171 Citations

Positive solutions for a quasilinear system via blow up

Philippe Clément;Raúl Manásevich;Enzo Mitidieri.
Communications in Partial Differential Equations (1993)

168 Citations

Existence of multiple solutions for quasilinear systems via fibering method

Yuri Bozhkov;Enzo Mitidieri.
Journal of Differential Equations (2003)

157 Citations

A simple approach to Hardy inequalities

E. Mitidieri.
Mathematical Notes (2000)

146 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Enzo Mitidieri

Filippo Gazzola

Filippo Gazzola

Polytechnic University of Milan

Publications: 25

Victor A. Galaktionov

Victor A. Galaktionov

University of Bath

Publications: 18

Djairo G. de Figueiredo

Djairo G. de Figueiredo

State University of Campinas

Publications: 16

Philippe Souplet

Philippe Souplet

Paris 13 University

Publications: 14

Congming Li

Congming Li

Shanghai Jiao Tong University

Publications: 14

Juncheng Wei

Juncheng Wei

University of British Columbia

Publications: 13

Nassif Ghoussoub

Nassif Ghoussoub

University of British Columbia

Publications: 10

Patrizia Pucci

Patrizia Pucci

University of Perugia

Publications: 10

Guozhen Lu

Guozhen Lu

University of Connecticut

Publications: 10

Tobias Weth

Tobias Weth

Goethe University Frankfurt

Publications: 7

Yanheng Ding

Yanheng Ding

Chinese Academy of Sciences

Publications: 7

Vladimir Maz'ya

Vladimir Maz'ya

Linköping University

Publications: 6

Marco Squassina

Marco Squassina

Catholic University of the Sacred Heart

Publications: 6

Donal O'Regan

Donal O'Regan

National University of Ireland, Galway

Publications: 6

E. N. Dancer

E. N. Dancer

University of Sydney

Publications: 6

Julio D. Rossi

Julio D. Rossi

University of Buenos Aires

Publications: 5

Trending Scientists

Dragan Gasevic

Dragan Gasevic

Monash University

Curtis M. Grimm

Curtis M. Grimm

University of Maryland, College Park

Chih-Tang Sah

Chih-Tang Sah

University of Florida

Timothy J. Hall

Timothy J. Hall

University of Wisconsin–Madison

Evan Mitsoulis

Evan Mitsoulis

National Technical University of Athens

Michael Beyermann

Michael Beyermann

Leibniz Association

Ganesh D. Sockalingum

Ganesh D. Sockalingum

University of Reims Champagne-Ardenne

Burkhard Tümmler

Burkhard Tümmler

Hannover Medical School

Leena Pulkkinen

Leena Pulkkinen

University of Eastern Finland

Ethan Bier

Ethan Bier

University of California, San Diego

Renée M. Bekker

Renée M. Bekker

University of Groningen

Robert E. Lanford

Robert E. Lanford

Texas Biomedical Research Institute

Giorgio Palù

Giorgio Palù

University of Padua

Albert A. M. Holtslag

Albert A. M. Holtslag

Wageningen University & Research

Ronald Simon

Ronald Simon

Universität Hamburg

Madeleine Duvic

Madeleine Duvic

The University of Texas MD Anderson Cancer Center

Something went wrong. Please try again later.