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Mathematics
Argentina
2026

D-Index & Metrics

Mathematics

D-Index
44
Citations
7752
World Ranking
1590
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Mathematics in Argentina Leader Award
  • 2025 - Research.com Mathematics in Argentina Leader Award

Overview

Julio D. Rossi is affiliated with the University of Buenos Aires in Argentina, contributing extensively to the fields of Mathematics and Computer Science. Their research focuses primarily on applied mathematical modeling, nonlinear partial differential equations, and computational theory, with a notable emphasis on complex problems involving differential equations and boundary challenges.

Their scholarly output includes 66 publications classified under Mathematics and 22 under Computer Science. Subfields prominently represented in their work include applied mathematics, computational theory and mathematics, mathematical physics, numerical analysis, and geometry and topology. These subfields provide a foundation for their exploration of advanced modeling and numerical methods in computational mathematics.

Key topics addressed by Julio D. Rossi include:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Differential Equations and Boundary Problems
  • Numerical Methods in Inverse Problems
  • Geometric Analysis and Curvature Flows
  • Differential Equations and Numerical Methods
  • Advanced Numerical Methods in Computational Mathematics

Their recent papers illustrate a concentration on diffusion models and coupling of local and nonlocal equations. Notable recent publications are:

  • "A local/nonlocal diffusion model" (2021), published in Munich Personal RePEc Archive (Ludwig Maximilian University of Munich)
  • "Strong convergence of the gradients for p-Laplacian problems as p→∞" (2020), published in Journal of Mathematical Analysis and Applications
  • "Nonlocal Diffusion Equations with Integrable Kernels" (2020), published in Notices of the American Mathematical Society
  • "Local and Nonlocal Energy-Based Coupling Models" (2022), published in SIAM Journal on Mathematical Analysis
  • "Coupling local and nonlocal evolution equations" (2020), published in Calculus of Variations and Partial Differential Equations

Julio D. Rossi has collaborated frequently with several researchers, including:

  • Gabriel Acosta
  • Francisco M. Bersetche
  • Pablo Blanc
  • Alfredo Miranda
  • Bruna C. dos Santos

Their work has appeared repeatedly in venues such as arXiv (Cornell University), Calculus of Variations and Partial Differential Equations, Nonlinear Analysis, Munich Personal RePEc Archive, and the Journal of Mathematical Analysis and Applications. These venues underscore a consistent engagement with both preprint repositories and peer-reviewed mathematical journals.

Best Publications

  • Nonlocal Diffusion Problems

    Fuensanta Andreu-Vaillo;José Mazón;Julio Rossi;J. Julián Toledo-Melero

  • Asymptotic behavior for nonlocal diffusion equations

    Emmanuel Chasseigne;Manuela Chaves;Julio D. Rossi

  • How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems

    Carmen Cortazar;Manuel Elgueta;Julio D. Rossi;Noemi Wolanski

  • An asymptotic mean value characterization for p-harmonic functions

    Juan J. Manfredi;Mikko Parviainen;Julio Daniel Rossi

  • Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians

    Uriel Kaufmann;Julio Daniel Rossi;Raúl Emilio Vidal

  • On the principal eigenvalue of some nonlocal diffusion problems

    Jorge García-Melián;Julio D. Rossi

  • Boundary fluxes for nonlocal diffusion

    Carmen Cortazar;Manuel Elgueta;Julio D. Rossi;Noemi Wolanski

  • A nonlocal convection–diffusion equation

    Liviu I. Ignat;Julio D. Rossi

  • Existence Results for the p-Laplacian with Nonlinear Boundary Conditions☆☆☆

    Julián Fernández Bonder;Julio D Rossi

  • A nonlocal p-Laplacian evolution equation with Neumann boundary conditions

    F. Andreu;J.M. Mazón;J.D. Rossi;J. Toledo

  • Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions

    Carmen Cortazar;Manuel Elgueta;Julio D. Rossi

  • An asymptotic mean value characterization for a class of nonlinear parabolic equations related to tug-of-war games

    Juan J. Manfredi;Mikko Parviainen;Julio D. Rossi

  • Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions

    Fernando Quiros;Julio D. Rossi

  • On the definition and properties of p-harmonious functions

    Juan José Manfredi;Mikko Parviainen;Julio D. Rossi

  • A convex-concave problem with a nonlinear boundary condition

    J. Garcia-Azorero;I. Peral;J.D. Rossi

  • A Nonlocal p-Laplacian Evolution Equation with Nonhomogeneous Dirichlet Boundary Conditions

    F. Andreu;José M. Mazón;Julio D. Rossi;Julián Toledo

  • A Nonlocal Diffusion Equation whose Solutions Develop a Free Boundary

    Carmen Cortazar;Manuel Elgueta;Julio D. Rossi

  • Isolation and simplicity for the first eigenvalue of the $p$-Laplacian with a nonlinear boundary condition

    Sandra Martínez;Julio D. Rossi

  • The Neumann problem for nonlocal nonlinear diffusion equations

    Fuensanta Andreu;José M. Mazón;Julio D. Rossi;Julián Toledo

  • Non-simulataneous blow-up in a semilinear parabolic system

    Fernando Quirós;Julio D. Rossi

Frequent Co-Authors

Carola-Bibiane Schönlieb
Carola-Bibiane Schönlieb University of Cambridge
Ireneo Peral
Ireneo Peral Autonomous University of Madrid
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Ricardo G. Durán
Ricardo G. Durán University of Buenos Aires
Patricio Felmer
Patricio Felmer University of Chile
Juan Dávila
Juan Dávila University of Bath
Philippe Souplet
Philippe Souplet Paris 13 University
Djairo G. de Figueiredo
Djairo G. de Figueiredo State University of Campinas

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