## Article

Hyder, Ali and Iula, Stefano and Martinazzi, Luca.
(2018)
* Large blow-up sets for the prescribed Q-curvature equation in the Euclidean.*
Communications in Contemporary Mathematics, 20 (2).
p. 1750026.

Da Lio, Francesca and Martinazzi, Luca.
(2017)
* The nonlocal Liouville-type equation in R and conformal immersions of the disk.*
Calculus of Variations and Partial Differential Equations, 56 (5).
p. 152.

Mancini, Gabriele and Martinazzi, Luca.
(2017)
* The Moser-Trudinger inequality and its extremals on a disk via energy estimates.*
Calculus of variations and partial differential equations, 56 (4).
p. 94.

Iula, Stefano and Maalaoui, Ali and Martinazzi, Luca.
(2016)
* A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points.*
Differential and Integral Equations, 29 (5/6).
pp. 455-492.

Maalaoui, Ali and Martinazzi, Luca and Schikorra, Armin.
(2016)
* Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension.*
Communications Partial Differential Equations, 41 (10).
pp. 1593-1618.

Jin, Tianling and Maalaoui, Ali and Martinazzi, Luca and Xiong, Jingang.
(2015)
* Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three.*
Calculus of variations and partial differential equations, Vo. 52, H. 3-4.
pp. 469-488.

Martinazzi, Luca and Hyder, Ali.
(2015)
* Conformal metrics on R^{2m} with constant Q-curvature, prescribed volume and asymptotic behavior.*
Discrete and continuous dynamical systems. Series A, Vol. 35, H. 1.
pp. 283-299.

Da Lio, Francesca and Martinazzi, Luca and Riviere, Tristan.
(2015)
* Blow-up analysis of a nonlocal Liouville-type equation.*
Analysis & PDE, Vol. 8, H. 7.
pp. 1757-1805.

Martinazzi, Luca.
(2015)
* Fractional Adams–Moser–Trudinger type inequalities.*
Nonlinear Analysis, 127.
pp. 263-278.

Martinazzi, Luca.
(2013)
* Conformal metrics on R^2m with constant Q-curvature and large volume.*
Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, 30 (6).
pp. 969-982.

Martinazzi, Luca and Struwe, Michael.
(2012)
* Quantization for an elliptic equation of order 2m with critical exponential non-linearity.*
Mathematische Zeitschrift, 270 (1-2).
pp. 453-487.

Mantegazza, Carlo and Martinazzi, Luca.
(2012)
* A note on quasilinear parabolic equations on manifolds.*
Annali della Scuola Normale di Pisa - Classe di Scienze, 11 (4).
pp. 857-874.

Malchiodi, Andrea and Martinazzi, Luca.
(2012)
* Critical points of the Moser-Trudinger functional on a disk.*
Journal of the European Mathematical Society, 16 (5).
pp. 893-908.

Martinazzi, Luca.
(2011)
* Quantization for the prescribed Q-curvature equation on open domains.*
Communications in Contemporary Mathematics, 13.
pp. 533-551.

Ambrosio, Luigi and De Philippis, Guido and Martinazzi, Luca.
(2011)
* Gamma-convergence of nonlocal perimeter functionals.*
Manuscripta Mathematica, 134 (3-4).
pp. 377-403.

Martinazzi, Luca.
(2011)
* A note on n-axially symmetric harmonic maps from B^3 into S^2 minimizing the relaxed energy.*
Journal of Functional Analysis, 261 (10).
pp. 3099-3117.

Martinazzi, Luca and Petrache, Mircea.
(2010)
* Asymptotics and quantization for a mean-field equation of higher order.*
Communications Partial Differential Equations, 35.
pp. 443-464.

Martinazzi, Luca and Petrache, Mircea.
(2010)
* Existence of solutions to a higher dimensional mean-field equation on manifolds.*
Manuscripta Mathematica (133).
pp. 115-130.

Martinazzi, Luca.
(2009)
* Classification of solutions to the higher order Liouville’s equation on {\mathbb{R}^{2m}}.*
Mathematische Zeitschrift, 263.
pp. 307-329.

Martinazzi, Luca.
(2009)
* Concentration-compactness phenomena in the higher order Liouville's equation.*
Journal of Functional Analysis, 256 (11).
pp. 3743-3771.

Martinazzi, Luca.
(2009)
* A threshold phenomenon for embeddings of {H^m_0} into Orlicz spaces.*
Calculus of Variations and Partial Differential Equations, 36 (4).
pp. 493-506.

Martinazzi, Luca.
(2009)
* An application of Q-curvature to an embedding of critical type.*
Oberwolfach Reports, 6 (3).
pp. 1997-2000.

Martinazzi, Luca.
(2008)
* Conformal metrics on R^{2m} with constant Q-curvature.*
Rendiconti Lincei. Matematica e Applicazioni, 19 (4).
pp. 279-292.

## Book

Giaquinta, Mariano and Martinazzi, Luca.
(2012)
* An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs.*
Pisa.

Giaquinta, Mariano and Martinazzi, Luca.
(2005)
* An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs.*
Pisa.

## Preprint

Hyder, Ali and Iula, Stefano and Martinazzi, Luca.
(2016)
* Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space.*
Preprints Fachbereich Mathematik, 2016 (21).

Mancini, Gabriele and Martinazzi, Luca.
(2016)
* The Moser-Trudinger inequality and its extremals on a disk via energy estimates.*
Preprints Fachbereich Mathematik, 2016 (17).

Da Lio, Francesca and Martinazzi, Luca.
(2016)
* The nonlocal Liouville-type equation in R and conformal immersions of the disk with boundary singularities.*
Preprints Fachbereich Mathematik, 2016 (15).

Iula, Stefano and Maalaoui, Ali and Martinazzi, Luca.
(2015)
* A fractional Moser-Trudinger type inequality in one dimension and its critical points.*
Preprints Fachbereich Mathematik, 2015 (06).

Martinazzi, Luca and Riviere, Tristan and Da Lio, Francesca.
(2015)
* Blow-up analysis of a nonlocal Liouville-type equation.*
Preprints Fachbereich Mathematik, 2015 (15).

Maalaoui, Ali and Martinazzi, Luca and Schikorra, Armin.
(2015)
* Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequalityin odd dimension.*
Preprints Fachbereich Mathematik, 2015 (16).

Martinazzi, Luca.
(2015)
* Fractional Adams-Moser-Trudinger type inequalities.*
Preprints Fachbereich Mathematik, 2015 (22).

Hyder, Ali and Martinazzi, Luca.
(2014)
* Conformal Metrics on $R^{2m}$ with Constant Q-Curvature, Prescribed Volume and Asymptotic Behavior.*
Preprints Fachbereich Mathematik, 2014 (02).