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Dive into the research topics where Agnese Di Castro is active.

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Featured researches published by Agnese Di Castro.


Annales De L Institut Henri Poincare-analyse Non Lineaire | 2016

Local behavior of fractional p-minimizers

Agnese Di Castro; Tuomo Kuusi; Giampiero Palatucci

We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.


Journal of Evolution Equations | 2013

Global estimates for nonlinear parabolic equations

Paolo Baroni; Agnese Di Castro; Giampiero Palatucci

AbstractWe consider nonlinear parabolic equations of the type


Journal of Functional Analysis | 2014

Nonlocal Harnack inequalities

Agnese Di Castro; Tuomo Kuusi; Giampiero Palatucci


Calculus of Variations and Partial Differential Equations | 2015

Nonlocal quantitative isoperimetric inequalities

Agnese Di Castro; Matteo Novaga; Berardo Ruffini; Enrico Valdinoci

u_t - {\rm div}a(x, t, Du)= f(x, t) \quad {\rm on}\quad \Omega_T =\Omega\times (-T,0),


Nonlinear Analysis-theory Methods & Applications | 2012

Nonlinear parabolic problems with lower order terms and related integral estimates

Agnese Di Castro; Giampiero Palatucci


Archive | 2013

FRACTIONAL REGULARITY FOR NONLINEAR ELLIPTIC PROBLEMS WITH MEASURE DATA

Agnese Di Castro; Giampiero Palatucci

under standard growth conditions on a, with f only assumed to be integrable. We prove general decay estimates up to the boundary for level sets of the solutions u and the gradient Du which imply very general estimates in Lebesgue and Lorentz spaces. Assuming only that the involved domains satisfy a mild exterior capacity density condition, we provide global regularity results.


Annali di Matematica Pura ed Applicata | 2014

Measure data problems, lower-order terms and interpolation effects

Agnese Di Castro; Giampiero Palatucci


arXiv: Analysis of PDEs | 2014

Non-Local Isoperimetric Problems

Agnese Di Castro; Berardo Ruffini; Novaga Matteo; Enrico Valdinoci


Weierstrass Institute for Applied Analysis and Stochastics: Preprint 1987 | 2014

Nonlocal isoperimetric problems

Agnese Di Castro; Matteo Novaga; Berardo Ruffini; Enrico Valdinoci


Discrete and Continuous Dynamical Systems - Series S | 2017

Intrinsic geometry and De Giorgi classes for certain anisotropic problems

Paolo Baroni; Agnese Di Castro; Giampiero Palatucci

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Giampiero Palatucci

International School for Advanced Studies

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Berardo Ruffini

University of Montpellier

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