[martinazz]

Associate Professor, University of Padua

**Email:** *luca.martinazzi AT math.unipd.it*

**Home-page:** http://www.math.unipd.it/~martinaz/

**arxiv id:** 0000-0001-5589-6893

- F. De Marchis - A. Malchiodi - L. Martinazzi - P. D. Thizy (Preprint)

Critical points of the Moser-Trudinger functional on closed surfaces (2020) - A. Hyder - L. Martinazzi (preprint)

Gluing metrics with prescribed $Q$-curvature and different asymptotic behaviour in dimension $6$ (2018) - A. Hyder - S. Iula - L. Martinazzi (preprint)

Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space (2016) - G. Mancini - L. Martinazzi (preprint)

The Moser-Trudinger inequality and its extremals on a disk via energy estimates (2016) - F. Da Lio - L. Martinazzi (preprint)

The nonlocal Liouville-type equation in $\mathbb{R}$ and conformal immersions of the disk with boundary singularities (2016) - S. Iula - A. Maalaoui - L. Martinazzi (preprint)

A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points (2015) - L. Martinazzi (preprint)

Fractional Adams-Moser-Trudinger type inequalities (2015) - A. Maalaoui - L. Martinazzi - A. Schikorra (preprint)

Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension (2015) - F. Da Lio - L. Martinazzi - T. RiviÃ¨re (preprint)

Blow-up analysis of a nonlocal Liouville-type equation (2015) - A. Hyder - L. Martinazzi (Submitted Paper)

Conformal metrics on $R^{2m}$ with constant Q-curvature, prescribed volume and asymptotic behavior (2014) - L. Martinazzi (
*Ann. Inst. Henri PoincarÃ© (C)*)

Conformal metrics on $\mathbb{R}^{2m}$ with constant Q-curvature and large volume (2013) - T. Jin - A. Maalaoui - L. Martinazzi - J. Xiong (preprint)

Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three (2013) - L. Martinazzi (preprint)

Conformal metrics on R^{2m} with constant Q-curvature and large volume (2012) - A. Malchiodi - L. Martinazzi (Accepted Paper:
*J. Eur. Math. Soc. (JEMS)*)

Critical points of the Moser-Trudinger functional on a disk (2012) - C. Mantegazza - L. Martinazzi (
*Ann. Sc. Norm. Super. Pisa Cl. Sci.*)

A Note on Quasilinear Parabolic Equations on Manifolds (2012) - L. Ambrosio - G. De Philippis - L. Martinazzi (
*Manuscripta Math.*)

Gamma-convergence of nonlocal perimeter functionals (2011) - L. Martinazzi (Accepted Paper:
*Journal Funct. Anal.*)

A note on $n$-axially symmetric harmonic maps from $B^3$ to $S^2$ minimizing the relaxed energy (2011) - L. Martinazzi (
*Commun. Contemp. Math.*)

Quantization for the prescribed Q-curvature equation on open domains (2011) - L. Martinazzi - M. Struwe (Accepted Paper:
*Math. Z.*)

Quantization for an elliptic equation of order 2m with critical exponential non-linearity (2010) - L. Martinazzi - M. Petrache (Accepted Paper:
*Manuscripta Math.*)

Existence of solutions to a higher dimensional mean-field equation on manifolds (2010) - L. Martinazzi - M. Petrache (
*Comm. Partial Differential Equations*)

Asymptotics and quantization for a mean-field equation of higher order (2010) - L. Martinazzi (
*Calc. Var. Partial Differential Equations*)

A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces (2009) - L. Martinazzi (
*J. Functional Anal.*)

Concentration-compactness phenomena in the higher order Liouville's equation (2009) - L. Martinazzi (
*Math. Z.*)

Classification of solutions to the higher order Liouville's equation on R^{2m} (2009) - L. Martinazzi (
*Rend. Lincei Mat. Appl.*)

Conformal metrics on $\R^{2m}$ with constant Q-curvature (2008)

*23 may 2018:*A new gluing phenomenon for metrics of prescribed Q-curvature in dimension 6*16 feb 2017:*Critical points and extremals of the Moser-Trudinger inequality in two dimension*14 jul 2015:*The fractional Liouville equation in dimension 1 - Compactness and quantization*15 dec 2010:*The relaxed energy for harmonic maps from B^3 into S^2.*4 nov 2009:*An application of Q-curvature to the Adams-Moser-Trudinger embedding

*25 nov 2019 - 28 nov 2019:*Recent trends in Geometric analysis and applications*23 jun 2014 - 18 jul 2014:*Summer School on Geometric Measure Theory and Geometric Analysis*10 jun 2014 - 14 jun 2014:*Recent advances in non-local and non-linear analysis: theory and applications