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- Nicola Fusco

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
10,583
119
World Ranking
1441
National Ranking
46

- Mathematical analysis
- Geometry
- Algebra

Nicola Fusco mainly investigates Mathematical analysis, Pure mathematics, Geometry, Calculus and Quasiconvex function. Her work in the fields of Bounded function and Bounded variation overlaps with other areas such as Complex system and Term. Her work on Caccioppoli set as part of her general Bounded function study is frequently connected to Coarea formula and Minkowski content, thereby bridging the divide between different branches of science.

In her papers, Nicola Fusco integrates diverse fields, such as Coarea formula, Uniform boundedness and Bounded deformation. Her work on Quadratic equation as part of general Geometry research is frequently linked to Anisotropy, bridging the gap between disciplines. Her Calculus research is multidisciplinary, relying on both Conjecture, Ball, Eigenvalues and eigenvectors, If and only if and Inequality.

- Functions of Bounded Variation and Free Discontinuity Problems (3092 citations)
- Semicontinuity problems in the calculus of variations (550 citations)
- The sharp quantitative isoperimetric inequality (291 citations)

Her primary scientific interests are in Mathematical analysis, Pure mathematics, Isoperimetric inequality, Combinatorics and Geometry. Her Mathematical analysis research is multidisciplinary, incorporating elements of Type and Curvature. Her Pure mathematics research integrates issues from Function, Space and Symmetrization.

Her research in Function intersects with topics in Spherical model, Statistical physics and Relaxation. Her Isoperimetric inequality study combines topics in areas such as Boundary, Regular polygon and Euclidean geometry. A majority of her Geometry research is a blend of other scientific areas, such as Anisotropy and Context.

- Mathematical analysis (51.54%)
- Pure mathematics (29.23%)
- Isoperimetric inequality (16.15%)

- Mathematical analysis (51.54%)
- Pure mathematics (29.23%)
- Curvature (6.15%)

Her scientific interests lie mostly in Mathematical analysis, Pure mathematics, Curvature, Surface diffusion and Exponential stability. Her research is interdisciplinary, bridging the disciplines of Constant and Mathematical analysis. Her research integrates issues of Function and Eigenvalues and eigenvectors in her study of Pure mathematics.

Her work focuses on many connections between Function and other disciplines, such as Upper and lower bounds, that overlap with her field of interest in Multiple integral. Her research in Sobolev inequality tackles topics such as Kantorovich inequality which are related to areas like Isoperimetric inequality. Her work carried out in the field of Characterization brings together such families of science as Dual, Bounded variation, Integral representation, Space and Continuum hypothesis.

- A quantitative isoperimetric inequality on the sphere (26 citations)
- On the approximation of SBV functions (10 citations)
- BMO-type seminorms and Sobolev functions (9 citations)

- Mathematical analysis
- Geometry
- Algebra

Her primary areas of investigation include Mathematical analysis, Pure mathematics, Exponential stability, Surface diffusion and Isoperimetric inequality. Mathematical analysis is often connected to Dimension in her work. Nicola Fusco has researched Pure mathematics in several fields, including Boundary and Bounded set.

Her Exponential stability research is multidisciplinary, incorporating perspectives in Flow, Mechanics, Nonlinear stability and Curvature. Her studies in Isoperimetric inequality integrate themes in fields like Stability, Kantorovich inequality and Constant. Her Sobolev inequality study combines topics from a wide range of disciplines, such as Function, Type and Hausdorff distance.

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.

Functions of Bounded Variation and Free Discontinuity Problems

Luigi Ambrosio;Diego Pallara;Nicola Fusco.

**(2000)**

5028 Citations

Functions of Bounded Variation and Free Discontinuity Problems

Luigi Ambrosio;Diego Pallara;Nicola Fusco.

**(2000)**

5028 Citations

Semicontinuity problems in the calculus of variations

Emilio Acerbi;Nicola Fusco.

Archive for Rational Mechanics and Analysis **(1984)**

851 Citations

Semicontinuity problems in the calculus of variations

Emilio Acerbi;Nicola Fusco.

Archive for Rational Mechanics and Analysis **(1984)**

851 Citations

The sharp quantitative isoperimetric inequality

Nicola Fusco;Francesco Maggi;Aldo Pratelli.

Annals of Mathematics **(2008)**

345 Citations

The sharp quantitative isoperimetric inequality

Nicola Fusco;Francesco Maggi;Aldo Pratelli.

Annals of Mathematics **(2008)**

345 Citations

Regularity for Minimizers of Non-quadratic Functionals: The Case 1 <p<2+

E Acerbi;N Fusco.

Journal of Mathematical Analysis and Applications **(1989)**

306 Citations

Regularity for Minimizers of Non-quadratic Functionals: The Case 1 <p<2+

E Acerbi;N Fusco.

Journal of Mathematical Analysis and Applications **(1989)**

306 Citations

Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

Alessio Figalli;Nicola Fusco;Francesco Maggi;Vincent Millot.

Communications in Mathematical Physics **(2015)**

168 Citations

Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

Alessio Figalli;Nicola Fusco;Francesco Maggi;Vincent Millot.

Communications in Mathematical Physics **(2015)**

168 Citations

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