What is she best known for?
The fields of study she is best known for:
- 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.
Her most cited work include:
- 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)
What are the main themes of her work throughout her whole career to date?
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.
She most often published in these fields:
- Mathematical analysis (51.54%)
- Pure mathematics (29.23%)
- Isoperimetric inequality (16.15%)
What were the highlights of her more recent work (between 2016-2021)?
- Mathematical analysis (51.54%)
- Pure mathematics (29.23%)
- Curvature (6.15%)
In recent papers she was focusing on the following fields of study:
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.
Between 2016 and 2021, her most popular works were:
- 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)
In her most recent research, the most cited papers focused on:
- 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.
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