2020

Lamm, Tobias, Malchiodi, Andrea and Micallef, Mario (2020) Limits of alpha-harmonic maps. Journal of Differential Geometry, 116 (2). pp. 321-348. doi:10.4310/jdg/1603936814 ISSN 0022-040X.

2019

Ikoma, Norihisa, Malchiodi, Andrea and Mondino, Andrea (2019) Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature. International Mathematics Research Notices, 2020 (19). pp. 6539-6568. doi:10.1093/imrn/rny203 ISSN 1073-7928.

2013

Bartolucci, Daniele and Malchiodi, Andrea (2013) An improved geometric inequality via vanishing moments, with applications to singular liouville equations. Communications in Mathematical Physics, Volume 322 (Number 2). pp. 415-452. doi:10.1007/s00220-013-1731-0 ISSN 0010-3616.

2012

Cheng, Jih-Hsin, Hwang, Jenn-Fang, Malchiodi, A. and Yang, Paul (2012) A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg group. Journal fur die reine und angewandte Mathematik (Crelles Journal), Volume 2012 (Number 671). pp. 131-198. doi:10.1515/CRELLE.2011.159 ISSN 0075-4102.

Gursky, Matthew and Malchiodi, A. (2012) Non-uniqueness results for critical metrics of regularized determinants in four dimensions. Communications in Mathematical Physics, Vol.315 (No.1). pp. 1-37. doi:10.1007/s00220-012-1535-7 ISSN 0010-3616.

Carlotto, Alessandro and Malchiodi, A. (2012) Weighted barycentric sets and singular Liouville equations on compact surfaces. Journal of Functional Analysis, Vol.262 (No.2). pp. 409-450. doi:10.1016/j.jfa.2011.09.012 ISSN 0022-1236.

2011

Gui, Changfeng, Malchiodi, A. and Xu, Haoyuan (2011) Axial symmetry of some steady state solutions to nonlinear Schrödinger equations. Proceedings of the American Mathematical Society, Vol.139 (No.3). pp. 1023-1032. doi:10.1090/S0002-9939-2010-10638-X ISSN 0002-9939.

Malchiodi, A. and Ruiz, David (2011) New improved Moser–Trudinger inequalities and singular Liouville equations on compact surfaces. Geometric and Functional Analysis, Vol.21 (No.5). pp. 1196-1217. doi:10.1007/s00039-011-0134-7 ISSN 1016-443X.

Bartolucci, D., De Marchis, F. and Malchiodi, A. (2011) Supercritical conformal metrics on surfaces with conical singularities. International Mathematics Research Notices, Vol.24 . pp. 5625-5643. doi:10.1093/imrn/rnq285 ISSN 1073-7928.

Carlotto, Alessandro and Malchiodi, A. (2011) A class of existence results for the singular Liouville equation. Comptes Rendus Mathematique, Vol.349 (No.3-4). pp. 161-166. doi:10.1016/j.crma.2010.12.016 ISSN 1631073X.

2010

Garcia Azorero, Jesus, Malchiodi, A., Montoro, Luigi and Peral, Ireneo (2010) Concentration of solutions for some singularly perturbed mixed problems : asymptotics of minimal energy solutions. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Vol.27 (No.1). pp. 37-56. doi:10.1016/j.anihpc.2009.06.005 ISSN 0294-1449.

Azorero, Jesus Garcia, Malchiodi, A., Montoro, Luigi and Peral, Ireneo (2010) Concentration of solutions for some singularly perturbed mixed problems : existence results. Archive for Rational Mechanics and Analysis, Vol.196 (No.3). pp. 907-950. doi:10.1007/s00205-009-0259-0 ISSN 0003-9527.

Malchiodi, A. (2010) On a class of nonlinear equations with exponential nonlinearities and measure data. In: Mercaldo, A. and Murat, F. and Alvino, A., (eds.) On the notions of solution to nonlinear elliptic problems results and developments. London : Aracne , pp. 339-370. ISBN 9788854830325

Malchiodi, A. (2010) Variational methods for singular Liouville equations. Rendiconti di Matematica e delle Sue Applicazioni, Vol.21 . pp. 349-358. doi:10.4171/RLM/577 ISSN 1120-7183 .

2009

Malchiodi, A. (2009) Some new entire solutions of semilinear elliptic equations on Rn. Advances in Mathematics, Vol.221 (No.6). pp. 1843-1909. doi:10.1016/j.aim.2009.03.012 ISSN 0001-8708.

Malchiodi, A. (2009) Variational theory for Liouville equations with singularities. Rendiconti dell'Istituto di Matematica dell'Università di Trieste , Vol.41 . pp. 85-95.

2008

Malchiodi, A. (2008) Concentrating solutions of some singularly perturbed elliptic equations. Frontiers of Mathematics in China, Vol.3 (No.2). pp. 239-252. doi:10.1007/s11464-008-0015-z ISSN 1673-3452.

Malchiodi, A. (2008) Entire solutions of autonomous equations on Rn with nontrivial asymptotics. Rendiconti Lincei - Matematica e Applicazioni, Vol.19 (No.1). pp. 65-72. doi:10.4171/RLM/508 ISSN 1120-6330.

Djadli, Zindine and Malchiodi, A. (2008) Existence of conformal metrics with constant Q-curvature. Annals of Mathematics, Vol.168 (No.3). pp. 813-858. doi:10.4007/annals.2008.168.813 ISSN 0003-486X.

Malchiodi, A. (2008) Morse theory and a scalar field equation on compact surfaces. Advances in Differential Equations, Vol.13 (No.11-12). pp. 1109-1129. ISSN 1079-9389.

Mahmoudi, Fethi, Malchiodi, A. and Montenegro, Marcelo (2008) Solutions to the nonlinear Schrödinger equation carrying momentum along a curve. Comptes Rendus Mathematique, Vol.346 (No.1-2). pp. 33-38. doi:10.1016/j.crma.2007.11.008 ISSN 1631073X.

Malchiodi, A. (2008) Some recent results about a class of singularly perturbed elliptic equations. In: Alama, Stanley and Bronsard, Lia and Sternberg, Peter J., (eds.) Singularities in PDE and the calculus of variations. CRM Proceedings and Lecture Notes , Vol.44 . USA: American Mathematical Society, pp. 153-164. ISBN 9780821843505

Malchiodi, A. (2008) Topological methods for an elliptic equation with exponential nonlinearities. Discrete and Continuous Dynamical Systems, Vol.21 (No.1). pp. 277-294. doi:10.3934/dcds.2008.21.277 ISSN 1078-0947.

Mahmoudi, Fethi, Malchiodi, A. and Wei, Juncheng (2008) Transition layer for the heterogeneous Allen–Cahn equation. Annales de l'Institut Henri Poincare (C) Non Linear Analysis , Vol.25 (No.3). pp. 609-631. doi:10.1016/j.anihpc.2007.03.008 ISSN 0294-1449.