@article {battaglia2013moser,
	title = {A Moser-Trudinger inequality for the singular Toda system},
	journal = {Bull. Inst. Math. Acad. Sin.},
	volume = {9},
	number = {1},
	year = {2014},
	pages = {1{\textendash}23},
	author = {Luca Battaglia and Andrea Malchiodi}
}
@article {2008,
	title = {Morse theory and a scalar field equation on compact surfaces},
	journal = {Adv. Differential Equations 13 (2008) 1109-1129},
	year = {2008},
	publisher = {Khayyam Publishing},
	url = {http://hdl.handle.net/1963/3531},
	author = {Andrea Malchiodi}
}
@article {2005,
	title = {Minimal surfaces in pseudohermitian geometry},
	journal = {Annali della Scuola Normale Superiore di Pisa, Classe di Scienze  (5), 4 (2005) 129-177.},
	number = {arXiv:math/0401136;},
	year = {2005},
	publisher = {Scuola Normale Superiore},
	abstract = {We consider surfaces immersed in three-dimensional pseudohermitian manifolds. We define the notion of (p-)mean curvature and of the associated (p-)minimal surfaces, extending some concepts previously given for the (flat) Heisenberg group. We interpret the p-mean curvature not only as the tangential sublaplacian of a defining function, but also as the curvature of a
characteristic curve, and as a quantity in terms of calibration geometry.
  As a differential equation, the p-minimal surface equation is degenerate
(hyperbolic and elliptic). To analyze the singular set, we formulate some {\em
extension} theorems, which describe how the characteristic curves meet the
singular set. This allows us to classify the entire solutions to this equation
and to solve a Bernstein-type problem (for graphs over the $xy$-plane) in the
Heisenberg group $H_1$. In $H_{1}$, identified with the Euclidean space
$R^{3}$, the p-minimal surfaces are classical ruled surfaces with the rulings
generated by Legendrian lines. We also prove a uniqueness theorem for the
Dirichlet problem under a condition on the size of the singular set in two
dimensions, and generalize to higher dimensions without any size control
condition. We also show that there are no closed, connected, $C^{2}$ smoothly immersed constant p-mean curvature or p-minimal surfaces of genus greater than one in the standard $S^{3}.$ This fact continues to hold when $S^{3}$ is replaced by a general spherical pseudohermitian 3-manifold.},
	doi = {10.2422/2036-2145.2005.1.05},
	url = {http://hdl.handle.net/1963/4579},
	author = {Jih-Hsin Cheng and JennFang Hwang and Andrea Malchiodi and Paul Yang}
}
@article {2005,
	title = {Multiple clustered layer solutions for semilinear Neumann problems on a ball},
	journal = {Ann. Inst. H. Poincare Anal. Non Lineaire 22 (2005) 143-163},
	year = {2005},
	publisher = {Elsevier},
	doi = {10.1016/j.anihpc.2004.05.003},
	url = {http://hdl.handle.net/1963/3532},
	author = {Andrea Malchiodi and Wei-Ming Ni and Juncheng Wei}
}
@article {2004,
	title = {Multidimensional boundary layers for a singularly perturbed Neumann problem},
	journal = {Duke Math. J. 124 (2004) 105-143},
	year = {2004},
	publisher = {Duke University Press},
	doi = {10.1215/S0012-7094-04-12414-5},
	url = {http://hdl.handle.net/1963/2960},
	author = {Andrea Malchiodi and Marcelo Montenegro}
}
@article {2001,
	title = {Multiple positive solutions of some elliptic equations in \\\\bold R\\\\sp N},
	journal = {Nonlinear Anal. 43 (2001) 159-172},
	number = {SISSA;133/1998/M},
	year = {2001},
	publisher = {Elsevier},
	doi = {10.1016/S0362-546X(99)00186-8},
	url = {http://hdl.handle.net/1963/3094},
	author = {Andrea Malchiodi}
}
@article {2001,
	title = {Multiplicity results for some nonlinear Schrodinger equations with potentials},
	journal = {Arch. Ration. Mech. An., 2001, 159, 253},
	number = {SISSA;108/00/AF},
	year = {2001},
	publisher = {SISSA Library},
	doi = {10.1007/s002050100152},
	url = {http://hdl.handle.net/1963/1564},
	author = {Antonio Ambrosetti and Andrea Malchiodi and Simone Secchi}
}
@article {1999,
	title = {A multiplicity result for the Yamabe problem on $S\\\\sp n$},
	journal = {J. Funct. Anal. 168 (1999), no. 2, 529-561},
	number = {SISSA;50/99/M},
	year = {1999},
	publisher = {Elsevier},
	abstract = {We prove a multiplicity result for the Yamabe problem on the manifold (S, g), where g is a perturbation of the standard metric g0 of Sn. Solutions are found by variational methods via an abstract perturbation result.},
	doi = {10.1006/jfan.1999.3458},
	url = {http://hdl.handle.net/1963/1264},
	author = {Antonio Ambrosetti and Andrea Malchiodi}
}
