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2018

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.

2017

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.

2016

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.

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).

2015

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.

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).

2014

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).

2013

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.

2012

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.

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

2011

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.

2010

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.

2009

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.

2008

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

2005

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