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- Xavier Cabré

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
6,576
71
World Ranking
2330
National Ranking
39

2013 - Fellow of the American Mathematical Society

- Mathematical analysis
- Real number
- Geometry

Xavier Cabré mainly investigates Bounded function, Mathematical analysis, Pure mathematics, Weak solution and Laplace operator. His Bounded function research incorporates elements of Discrete mathematics, Monotone polygon, Partial differential equation, Sobolev space and Domain. He studies Mathematical analysis, focusing on Uniqueness in particular.

Many of his research projects under Pure mathematics are closely connected to Hamiltonian with Hamiltonian, tying the diverse disciplines of science together. His Weak solution study combines topics in areas such as Mathematical physics, Pointwise, Unit sphere and Regular polygon. His research in Laplace operator tackles topics such as Infinitesimal generator which are related to areas like Symmetry, Space, Combinatorics and Elliptic curve.

- Fully Nonlinear Elliptic Equations (1104 citations)
- Positive solutions of nonlinear problems involving the square root of the Laplacian (516 citations)
- Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates (431 citations)

Xavier Cabré mostly deals with Mathematical analysis, Pure mathematics, Bounded function, Dimension and Domain. His Mathematical analysis research integrates issues from Type and Constant. He has researched Pure mathematics in several fields, including Mean curvature and Uniqueness.

His Bounded function study incorporates themes from Minimal surface, Regular polygon, Operator, Ball and Sobolev space. He interconnects Class and Conjecture in the investigation of issues within Dimension. His Domain research incorporates themes from Function and Open problem.

- Mathematical analysis (49.04%)
- Pure mathematics (45.19%)
- Bounded function (42.31%)

- Pure mathematics (45.19%)
- Bounded function (42.31%)
- Mean curvature (19.23%)

His primary scientific interests are in Pure mathematics, Bounded function, Mean curvature, Open problem and Domain. The Pure mathematics study combines topics in areas such as Norm, Monotonic function and Uniqueness. The various areas that Xavier Cabré examines in his Bounded function study include Minimal surface, Dimension and Conjecture.

The study incorporates disciplines such as Sobolev inequality, Mathematical analysis, Perimeter and Constant in addition to Mean curvature. His work on Elliptic curve as part of general Mathematical analysis research is often related to Integer lattice, thus linking different fields of science. His Open problem research is multidisciplinary, incorporating perspectives in Operator, Convex function and Laplace operator.

- Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay (54 citations)
- Stable solutions to semilinear elliptic equations are smooth up to dimension $9$ (26 citations)
- A gradient estimate for nonlocal minimal graphs (24 citations)

- Mathematical analysis
- Geometry
- Real number

His primary areas of study are Mean curvature, Bounded function, Constant, Mathematical analysis and Pure mathematics. His Bounded function research includes elements of Sobolev inequality and Dimension. His studies deal with areas such as Conjecture, Norm, Series, Domain and Corollary as well as Dimension.

He combines subjects such as Perimeter, Delaunay triangulation, Type and Elliptic curve with his study of Constant. His research in Mathematical analysis is mostly concerned with Unit sphere. His Harnack's inequality and Minimal surface study, which is part of a larger body of work in Pure mathematics, is frequently linked to Jacobi operator, bridging the gap between disciplines.

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.

Fully Nonlinear Elliptic Equations

Luis A. Caffarelli;Xavier Cabré.

**(1995)**

1193 Citations

Fully Nonlinear Elliptic Equations

Luis A. Caffarelli;Xavier Cabré.

**(1995)**

1193 Citations

Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

Xavier Cabré;Yannick Sire.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(2014)**

578 Citations

Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

Xavier Cabré;Yannick Sire.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(2014)**

578 Citations

Positive solutions of nonlinear problems involving the square root of the Laplacian

Xavier Cabré;Jinggang Tan.

Advances in Mathematics **(2010)**

575 Citations

Positive solutions of nonlinear problems involving the square root of the Laplacian

Xavier Cabré;Jinggang Tan.

Advances in Mathematics **(2010)**

575 Citations

Some simple nonlinear PDE's without solutions

Haïm Brezis;Xavier Cabré.

Bollettino Della Unione Matematica Italiana **(1998)**

313 Citations

Some simple nonlinear PDE's without solutions

Haïm Brezis;Xavier Cabré.

Bollettino Della Unione Matematica Italiana **(1998)**

313 Citations

Layer solutions in a half-space for boundary reactions

Xavier Cabré;Joan Solà-Morales.

Communications on Pure and Applied Mathematics **(2005)**

288 Citations

Layer solutions in a half-space for boundary reactions

Xavier Cabré;Joan Solà-Morales.

Communications on Pure and Applied Mathematics **(2005)**

288 Citations

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