What is she best known for?
The fields of study she is best known for:
- Mathematical analysis
- Algebra
- Pure mathematics
Andrea Cianchi mainly investigates Mathematical analysis, Pure mathematics, Sobolev inequality, Sobolev space and Anisotropy.
Mathematical analysis is closely attributed to Type in her work.
Her Pure mathematics research is multidisciplinary, incorporating perspectives in Dimension and Trace inequalities.
Her studies deal with areas such as Sobolev spaces for planar domains, Interpolation space, Remainder and Class as well as Sobolev inequality.
Her study in Sobolev space is interdisciplinary in nature, drawing from both Embedding and Combinatorics.
Her Domain research is multidisciplinary, incorporating elements of Bounded function and Lipschitz continuity.
Her most cited work include:
- A sharp embedding theorem for Orlicz-Sobolev spaces (127 citations)
- Affine Moser–Trudinger and Morrey–Sobolev inequalities (122 citations)
- The sharp Sobolev inequality in quantitative form (112 citations)
What are the main themes of her work throughout her whole career to date?
Andrea Cianchi mostly deals with Pure mathematics, Mathematical analysis, Sobolev space, Sobolev inequality and Type.
In her study, Laplace transform is inextricably linked to Pointwise, which falls within the broad field of Pure mathematics.
Domain, Isoperimetric inequality, Boundary value problem, Neumann boundary condition and Symmetrization are the primary areas of interest in her Mathematical analysis study.
Her research in Sobolev space intersects with topics in Euclidean space, Embedding, Invariant, Differentiable function and Order.
In Sobolev inequality, Andrea Cianchi works on issues like Interpolation space, which are connected to Eberlein–Šmulian theorem and Discrete mathematics.
Her Type research includes elements of Optimal constant, Dirichlet distribution and Lebesgue integration.
She most often published in these fields:
- Pure mathematics (61.33%)
- Mathematical analysis (50.67%)
- Sobolev space (43.33%)
What were the highlights of her more recent work (between 2017-2021)?
- Pure mathematics (61.33%)
- Sobolev space (43.33%)
- Space (14.67%)
In recent papers she was focusing on the following fields of study:
The scientist’s investigation covers issues in Pure mathematics, Sobolev space, Space, Type and Domain.
Her work on Function space as part of general Pure mathematics study is frequently connected to Monotone polygon, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
Her Sobolev space research incorporates themes from Euclidean space, Embedding, Partial differential equation, Invariant and Limit.
Her Type research is multidisciplinary, relying on both Range, Smoothness and Mathematical proof.
Andrea Cianchi has included themes like Trace, Laplace transform, p-Laplacian and Order in her Domain study.
Her Laplace transform study is associated with Mathematical analysis.
Between 2017 and 2021, her most popular works were:
- Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (22 citations)
- Fully anisotropic elliptic problems with minimally integrable data (15 citations)
- Sharp Sobolev type embeddings on the entire Euclidean space (12 citations)
In her most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Pure mathematics
Her primary areas of study are Pure mathematics, Sobolev space, Space, Type and Dirichlet distribution.
Her study connects Measure and Pure mathematics.
Her Sobolev space study incorporates themes from Embedding, Function space and Invariant.
The study incorporates disciplines such as Limit and Counterexample in addition to Space.
Her research investigates the link between Dirichlet distribution and topics such as Applied mathematics that cross with problems in Bounded function, Boundary value problem and p-Laplacian.
In her research, Trace inequalities, Discrete mathematics and Trace is intimately related to Domain, which falls under the overarching field of Boundary value problem.
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