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1

Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

Giampiero Palatucci, Adriano Pisante

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2014

Language:

english

File:

PDF, 458 KB

english, 2014

2

Hitchhikerʼs guide to the fractional Sobolev spaces

Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci

Journal:

Bulletin des Sciences Mathématiques

Year:

2012

Language:

english

File:

PDF, 443 KB

english, 2012

3

Local behavior of fractional p-minimizers

Di Castro, Agnese, Kuusi, Tuomo, Palatucci, Giampiero

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2015

Language:

english

File:

PDF, 830 KB

english, 2015

4

Recent Developments in Nonlocal Theory || Jump Processes and Nonlocal Operators

Palatucci, Giampiero, Kuusi, Tuomo

Year:

2017

Language:

english

File:

PDF, 619 KB

english, 2017

5

Local and global minimizers for a variational energy involving a fractional norm

Palatucci, Giampiero, Savin, Ovidiu, Valdinoci, Enrico

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2013

Language:

english

File:

PDF, 456 KB

english, 2013

6

Nonlocal Harnack inequalities

Di Castro, Agnese, Kuusi, Tuomo, Palatucci, Giampiero

Journal:

Journal of Functional Analysis

Year:

2014

Language:

english

File:

PDF, 469 KB

english, 2014

7

Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting

Dipierro, Serena, Palatucci, Giampiero, Valdinoci, Enrico

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 521 KB

english, 2015

8

The obstacle problem for nonlinear integro-differential operators

Korvenpää, Janne, Kuusi, Tuomo, Palatucci, Giampiero

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 622 KB

english, 2016

9

Developments and perspectives in Nonlinear Potential Theory

Mingione, Giuseppe, Palatucci, Giampiero

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2019

Language:

english

File:

PDF, 879 KB

english, 2019

10

Γ-Convergence of some super quadratic functionals with singular weights

Giampiero Palatucci, Yannick Sire

Journal:

Mathematische Zeitschrift

Year:

2010

Language:

english

File:

PDF, 408 KB

english, 2010

11

A weighted gradient theory of phase transitions with a possibly singular and degenerate spatial inhomogeneity

Giampiero Palatucci, Enrico Valdinoci

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 317 KB

english, 2012

12

Nonlinear parabolic problems with lower order terms and related integral estimates

Agnese Di Castro, Giampiero Palatucci

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 331 KB

english, 2012

13

Global estimates for nonlinear parabolic equations

Baroni, Paolo, Castro, Agnese Di, Palatucci, Giampiero

Journal:

Journal of Evolution Equations

Year:

2013

Language:

english

File:

PDF, 396 KB

english, 2013

14

Measure data problems, lower-order terms and interpolation effects

Di Castro, Agnese, Palatucci, Giampiero

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2014

Language:

english

File:

PDF, 404 KB

english, 2014

15

PHASE TRANSITIONS WITH THE LINE TENSION EFFECT: THE SUPER-QUADRATIC CASE

PALATUCCI, GIAMPIERO

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2009

Language:

english

File:

PDF, 701 KB

english, 2009

16

A Global Compactness type result for Palais–Smale sequences in fractional Sobolev spaces

Palatucci, Giampiero, Pisante, Adriano

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2015

Language:

english

File:

PDF, 405 KB

english, 2015

17

Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations

Korvenpää, Janne, Kuusi, Tuomo, Palatucci, Giampiero

Journal:

Mathematische Annalen

Year:

2016

Language:

english

File:

PDF, 791 KB

english, 2016

18

-fractional Laplace equation

Palatucci, Giampiero

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2018

Language:

english

File:

PDF, 1022 KB

english, 2018

19

Hölder continuity up to the boundary for a class of fractional obstacle problems

Korvenpää, Janne, Kuusi, Tuomo, Palatucci, Giampiero

Journal:

Rendiconti Lincei - Matematica e Applicazioni

Year:

2016

Language:

english

File:

PDF, 128 KB

english, 2016

20

Recent Developments in Nonlocal Theory || Eigenvalue Bounds for the Fractional Laplacian: A Review

Palatucci, Giampiero, Kuusi, Tuomo

Year:

2017

File:

PDF, 656 KB

2017

21

Recent Developments in Nonlocal Theory || Obstacle Problems Involving the Fractional Laplacian

Palatucci, Giampiero, Kuusi, Tuomo

Year:

2017

File:

PDF, 1.16 MB

2017