[martinazz]

Assistant Professor, University of Basel

**Email:** *luca.martinazzi AT unibas.ch*

SNF-Professor

**Home-page:** http://www.math.rutgers.edu/~lm616/

- 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 PoincarĂ© (C)*)

Conformal metrics on $\mathbb{R}^{2m}$ with constant Q-curvature and large volume (2013) - 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. Martinazzi (
*Commun. Contemp. Math.*)

Quantization for the prescribed Q-curvature equation on open domains (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. Ambrosio - G. De Philippis - L. Martinazzi (
*Manuscripta Math.*)

Gamma-convergence of nonlocal perimeter functionals (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 (
*Comm. Partial Differential Equations*)

Asymptotics and quantization for a mean-field equation of higher order (2010) - L. Martinazzi - M. Petrache (Accepted Paper:
*Manuscripta Math.*)

Existence of solutions to a higher dimensional mean-field equation on manifolds (2010) - L. Martinazzi (
*Math. Z.*)

Classification of solutions to the higher order Liouville's equation on $R^{2m}$ (2009) - L. Martinazzi (
*J. Functional Anal.*)

Concentration-compactness phenomena in the higher order Liouville's equation (2009) - L. Martinazzi (
*Calc. Var. Partial Differential Equations*)

A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces (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

*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