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Lectures on Elliptic Partial Differential Equations

1st ed. 2018., 2019

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Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks

Mathematics in engineering, 2023-01, Vol.5 (4), p.1-19

2023

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Is a nonlocal diffusion strategy convenient for biological populations in competition?

Journal of mathematical biology, 2017, Vol.74 (1-2), p.113-147

2017

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The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System

Communications on pure and applied mathematics, 2020-03, Vol.73 (3), p.609-663

2020

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An elementary proof of the rank-one theorem for BV functions

Journal of the European Mathematical Society : JEMS, 2019-01, Vol.21 (10), p.3255-3258

2019

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An optimal irrigation network with infinitely many branching points

ESAIM. Control, optimisation and calculus of variations, 2016-04, Vol.22 (2), p.543-561

2016

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The Steiner tree problem revisited through rectifiable G -currents

Advances in calculus of variations, 2016-01, Vol.9 (1), p.19-39

2016

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On the geometric structure of currents tangent to smooth distributions

Journal of differential geometry, 2022-09, Vol.122 (1)

2022

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Rank-one theorem and subgraphs of BV functions in Carnot groups

Journal of functional analysis, 2019-02, Vol.276 (3), p.687-715

2019

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Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity

Calculus of variations and partial differential equations, 2015-10, Vol.54 (2), p.1847-1874

2015

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On the Boundary Behavior of Mass-Minimizing Integral Currents

Memoirs of the American Mathematical Society, 2023-11, Vol.291 (1446)

2023

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Numerical Calibration of Steiner trees

Applied mathematics & optimization, 2019-02, Vol.79 (1), p.69-86

2019

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A Multimaterial Transport Problem and its Convex Relaxation via Rectifiable $G$-currents

SIAM journal on mathematical analysis, 2019-01, Vol.51 (3), p.1965-1998

2019

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The oriented mailing problem and its convex relaxation

Nonlinear analysis, 2020-10, Vol.199, p.112035, Article 112035

2020

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On some geometric properties of currents and Frobenius theorem

Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, 2017-01, Vol.28 (4), p.861-869

2017

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Regularity for systems

Lectures on Elliptic Partial Differential Equations, 2019, Vol.18, p.99-122

2019

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Interior regularity for nonlinear equations

Lectures on Elliptic Partial Differential Equations, 2019, Vol.18, p.51-98

2019

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Classical regularity theory for linear problems

Lectures on Elliptic Partial Differential Equations, 2019, Vol.18, p.29-50

2019

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Viscosity solutions

Lectures on Elliptic Partial Differential Equations, 2019, Vol.18, p.123-167

2019

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Variational aspects of some classes of elliptic problems

Lectures on Elliptic Partial Differential Equations, 2019, Vol.18, p.1-27

2019

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