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Andrea Cianchi

Andrea Cianchi

D-Index & Metrics

Mathematics

D-Index
40
Citations
5014
World Ranking
2099
National Ranking
58

Overview

Andrea Cianchi is affiliated with the University of Florence in Italy, focusing their academic career on the field of Mathematics, with a significant emphasis on Applied Mathematics. Their research interests encompass a range of subfields including Computational Theory and Mathematics, Mathematical Physics, Mechanics of Materials, and Geometry and Topology.

The main topics covered in their work include:

  • Nonlinear Partial Differential Equations
  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Modeling in Engineering
  • Numerical Methods in Engineering
  • Advanced Mathematical Physics Problems
  • Differential Equations and Boundary Problems
  • Numerical Methods in Inverse Problems

The scientist has contributed to numerous research articles and their recent papers illustrate a focus on fractional Orlicz-Sobolev spaces and Sobolev embeddings. Notable recent publications include:

  • "Fractional Orlicz-Sobolev embeddings," 2021, Florence Research (University of Florence)
  • "On the Limit as s → 0⁺ of Fractional Orlicz-Sobolev Spaces," 2020, Journal of Fourier Analysis and Applications
  • "On fractional Orlicz-Sobolev spaces," 2021, Analysis and Mathematical Physics
  • "On the limit as s → 1⁻ of possibly non-separable fractional Orlicz-Sobolev spaces," 2021, Rendiconti Lincei Matematica e Applicazioni
  • "Sobolev embeddings in Orlicz and Lorentz spaces with measures," 2020, Journal of Mathematical Analysis and Applications

Andrea Cianchi's collaborative network includes frequent co-authors such as Luboš Pick, Lenka Slavíková, Angela Alberico, Vladimir Maz'ya, and Dominic Breit, with multiple joint publications, indicating active engagement in collaborative research efforts.

Their publications have appeared in various venues, with the most frequent being:

  • arXiv (Cornell University)
  • Florence Research (University of Florence)
  • Advances in Mathematics
  • Nonlinear Analysis
  • Journal of Differential Equations

Best Publications

  • A sharp embedding theorem for Orlicz-Sobolev spaces

    Andrea Cianchi

  • Affine Moser–Trudinger and Morrey–Sobolev inequalities

    Andrea Cianchi;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations

    Andrea Cianchi;Vladimir G. Mazya

  • Overdetermined anisotropic elliptic problems

    Andrea Cianchi;Paolo Salani

  • Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems

    Andrea Cianchi;Vladimir G. Maz’ya;Vladimir G. Maz’ya

  • The sharp Sobolev inequality in quantitative form

    Andrea Cianchi;Nicola Fusco;Francesco Maggi;Aldo Pratelli

  • Optimal Orlicz-Sobolev embeddings

    Andrea Cianchi

  • Sobolev embeddings into BMO, VMO, and L∞

    Andrea Cianchi;Luboš Pick

  • Strong and Weak Type Inequalities for Some Classical Operators in Orlicz Spaces

    Andrea Cianchi

  • On the isoperimetric deficit in gauss space

    Andrea Cianchi;Nicola Fusco;Francesco Maggi;Aldo Pratelli

  • Functions of Bounded Variation¶and Rearrangements

    Andrea Cianchi;Nicola Fusco

  • Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems

    Andrea Cianchi;Vladimir G. Maz'ya

  • Symmetrization in Anisotropic Elliptic Problems

    Andrea Cianchi

  • A fully anisotropic Sobolev inequality

    Andrea Cianchi

  • Local boundedness of minimizers of anisotropic functionals

    Andrea Cianchi

  • The perimeter inequality under Steiner symmetrization: Cases of equality

    Miroslav Chlebík;Andrea Cianchi;Nicola Fusco

  • Moser–Trudinger trace inequalities

    Andrea Cianchi

  • Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems

    Andrea Cianchi;Vladimir G. Maz’ya;Vladimir G. Maz’ya

  • Higher-order Sobolev embeddings and isoperimetric inequalities

    Andrea Cianchi;Luboš Pick;Lenka Slavíková

  • Steiner symmetric extremals in Pólya–Szegö-type inequalities

    Andrea Cianchi;Nicola Fusco

  • Moser-trudinger inequalities without boundary conditions and isoperimetric problems

    Andrea Cianchi

Frequent Co-Authors

Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Nicola Fusco
Nicola Fusco University of Naples Federico II
Lars Diening
Lars Diening Bielefeld University
Erwin Lutwak
Erwin Lutwak Courant Institute of Mathematical Sciences
Gaoyong Zhang
Gaoyong Zhang New York University
Tuomo Kuusi
Tuomo Kuusi University of Helsinki
Deane Yang
Deane Yang New York University

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