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- Julio D. Rossi

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
39
Citations
6,272
290
World Ranking
1479
National Ranking
1

- Mathematical analysis
- Real number
- Geometry

His primary scientific interests are in Mathematical analysis, Dirichlet boundary condition, Bounded function, p-Laplacian and Uniqueness. His Mathematical analysis research focuses on Neumann boundary condition, Boundary value problem, Nonlinear boundary conditions, Initial value problem and Mixed boundary condition. His studies in Neumann boundary condition integrate themes in fields like Heat equation and Laplace operator.

The study incorporates disciplines such as Elliptic systems, Pure mathematics and Combinatorics in addition to Dirichlet boundary condition. His study in Bounded function is interdisciplinary in nature, drawing from both Discrete mathematics, Domain, Type, Domain and Existence theorem. His work carried out in the field of Uniqueness brings together such families of science as Flow and Diffusion equation.

- Nonlocal Diffusion Problems (201 citations)
- Asymptotic behavior for nonlocal diffusion equations (197 citations)
- How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems (148 citations)

Julio D. Rossi mainly investigates Mathematical analysis, Bounded function, Combinatorics, Boundary value problem and Uniqueness. Mathematical analysis is represented through his Neumann boundary condition, Domain, Limit, p-Laplacian and Mixed boundary condition research. Julio D. Rossi works mostly in the field of p-Laplacian, limiting it down to concerns involving Laplace operator and, occasionally, Dirichlet problem.

His research on Bounded function also deals with topics like

- Domain that intertwine with fields like Mathematical physics,
- Sobolev space that connect with fields like Trace. His research in Boundary value problem intersects with topics in Partial differential equation, Heat equation and Diffusion equation. His Uniqueness research is multidisciplinary, incorporating perspectives in Dirichlet distribution and Applied mathematics.

- Mathematical analysis (60.31%)
- Bounded function (25.62%)
- Combinatorics (24.06%)

- Combinatorics (24.06%)
- Mathematical analysis (60.31%)
- Uniqueness (20.31%)

His primary areas of investigation include Combinatorics, Mathematical analysis, Uniqueness, Eigenvalues and eigenvectors and Laplace operator. His Combinatorics research includes themes of Domain, Bounded function and Convex hull, Regular polygon. His Mathematical analysis research incorporates elements of Mean curvature flow and Perimeter.

The concepts of his Uniqueness study are interwoven with issues in Euclidean space, Limit, Viscosity solution, Applied mathematics and Dirichlet distribution. In his research, Continuous solution, Affine transformation, Dimension and Interpretation is intimately related to Hessian matrix, which falls under the overarching field of Eigenvalues and eigenvectors. His Laplace operator research incorporates themes from Infinity, Boundary value problem and Tree.

- Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets (22 citations)
- Games for eigenvalues of the Hessian and concave/convex envelopes (20 citations)
- Regularity properties for p−dead core problems and their asymptotic limit as p→∞ (14 citations)

- Mathematical analysis
- Real number
- Geometry

The scientist’s investigation covers issues in Combinatorics, Eigenvalues and eigenvectors, Uniqueness, Applied mathematics and Laplace operator. His study looks at the relationship between Combinatorics and fields such as Domain, as well as how they intersect with chemical problems. His Eigenvalues and eigenvectors study incorporates themes from Geometry and topology, Bounded function and Hessian matrix.

His study with Uniqueness involves better knowledge in Mathematical analysis. Julio D. Rossi studies Mathematical analysis, focusing on Evolution equation in particular. His Laplace operator research incorporates elements of Infinity, Type, Boundary value problem and Pure mathematics.

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.

Nonlocal Diffusion Problems

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

**(2010)**

486 Citations

Asymptotic behavior for nonlocal diffusion equations

Emmanuel Chasseigne;Manuela Chaves;Julio D. Rossi.

Journal de Mathématiques Pures et Appliquées **(2006)**

330 Citations

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

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

Archive for Rational Mechanics and Analysis **(2007)**

201 Citations

An asymptotic mean value characterization for p-harmonic functions

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

Proceedings of the American Mathematical Society **(2009)**

196 Citations

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

Julián Fernández Bonder;Julio D Rossi.

Journal of Mathematical Analysis and Applications **(2001)**

159 Citations

Boundary fluxes for nonlocal diffusion

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

Journal of Differential Equations **(2007)**

153 Citations

A nonlocal convection–diffusion equation

Liviu I. Ignat;Julio D. Rossi.

Journal of Functional Analysis **(2007)**

144 Citations

A nonlocal p-Laplacian evolution equation with Neumann boundary conditions

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

Journal de Mathématiques Pures et Appliquées **(2008)**

138 Citations

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

Uriel Kaufmann;Julio Daniel Rossi;Raúl Emilio Vidal.

Electronic Journal of Qualitative Theory of Differential Equations **(2017)**

120 Citations

On the principal eigenvalue of some nonlocal diffusion problems

Jorge García-Melián;Julio D. Rossi.

Journal of Differential Equations **(2009)**

113 Citations

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