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

Available papers (25):

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• 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. Rivière (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 Poincaré (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)

Seminars:

• 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

Speaker:

• 29 may 2023 - 2 jun 2023: Geometric Measure Theory, Bressanone 2023

Organizer:

• 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