Research papers:
 

• Antonio Ambrosetti - Andrea Malchiodi: A multiplicity result for the Yamabe problem on $S^n$, J. Funct. Anal. 168 (1999), 529-561.

• Antonio Ambrosetti - YanYan Li - Andrea Malchiodi: A Note on the Scalar Curvature in the presence of Symmetries, Ricerche di Matematica 49 (2000), 169-176. Volume dedicated to Ennio de Giorgi.

• Andrea Malchiodi: Adiabatic limits for some Newtonian systems in $R^n$, Asympt. Anal. 25 (2001), 149-181.

• Antonio Ambrosetti - Andrea Malchiodi: On the Symmetric Scalar Curvature Problem on $S^n$, J. Diff. Eq. 170 (2001), 228-245.

• Massimiliano Berti - Andrea Malchiodi: Non-compactness and multiplicity results for the Yamabe problem on $S\sp n$., J. Funct. Anal. 180 (2001), 210-241.

• Andrea Malchiodi: Multiple positive solutions of some elliptic equations in $R^n$, Nonlinear Analysis, TMA, 43 (2001), 159-172.

• Antonio Ambrosetti - Andrea Malchiodi - Simone Secchi: Multiplicity results for some nonlinear singularly perturbed elliptic problems on $R^n$, Arch. Rat. Mech. Anal. 159 (2001) 3, 253-271.

• Antonio Ambrosetti - YanYan Li - Andrea Malchiodi:  Yamabe and Scalar Curvature problems under Boundary Conditions, Math. Ann. 322 (2002), 667-699.
  

• Paolo Caldiroli - Andrea Malchiodi: Singular Elliptic problems with Critical growth, Comm. PDEs. 27 (2002), 847-876.

• Andrea Malchiodi: The Scalar Curvature Problem on $S^n$: an approach via Morse Theory, September 1999, Calc. Var. and PDEs 14 (2002), 429-445.
  

• Zindine Djadli - Andrea Malchiodi - Mohameden O. Ahmedou: Prescribing a fourth order conformal invariant on the standard sphere, Part I: a perturbation result, Comm. Contemp. Math. 4 (2002), 1-34.

• Zindine Djadli - Andrea Malchiodi - Mohameden O. Ahmedou: Prescribing a fourth order conformal invariant on the standard sphere, Part II: blow up analysis and applications,  Annali Scuola Norm. Sup. Pisa, vol. 5 (1) (2002), 387-434.

• Andrea Malchiodi - Francesco Uguzzoni: A perturbation result in prescribing Webster curvature on the Heisenberg sphere,  J. Math. Pure. Appl., 81 (2002), 983-997.

• Filippo Gazzola - Andrea Malchiodi: Some remarks on the equation $-\Delta u=\lambda(1+u)^p$ for varying $\lambda$, $p$ and varying domains,  Comm. PDEs, 27 (2002), 809-845.

• Andrea Braides - Andrea Malchiodi: Curvature theory of boundary phases: the two dimensional case,  Interfaces and free boundaries, 4 (2002), 1-26.

• Andrea Malchiodi - Marcelo Montenegro: Boundary Concentration Phenomena for a singularly perturbed elliptic problem, Comm. Pure Appl. Math., 15 (2002), 1507-1568.

• Zindine Djadli - Andrea Malchiodi - Mohameden O. Ahmedou: Prescribing Scalar and Boundary Mean Curvature on the half three-sphere, J. Geom. Anal. 13 (2003), no. 2, 255-289.

• Antonio Ambrosetti - Andrea Malchiodi - Wei-Ming Ni: Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Comm. Math. Phys. 235 (2003), no. 3, 427-466. 
  

• Antonio Ambrosetti - Andrea Malchiodi - Wei-Ming Ni: Singularly Perturbed Elliptic Equations with Symmetry: Existence of Solutions Concentrating on Spheres, Part II,  Indiana Univ. Math. J., 53 (2004), no.2,  297-329. 

• Andrea Malchiodi  - Marcelo Montenegro: Multidimensional boundary layers for a singularly perturbed Neumann problem, Duke Math. J. 124 (2004), no. 1, 105-143.

• Zindine Djadli - Andrea Malchiodi - Mohameden O. Ahmedou: The prescribed boundary mean curvature problem on $B^4$, J. Diff. Eq., 206 (2004), 373-398.

• Antonio Ambrosetti - Veronica Felli - Andrea Malchiodi: Ground states of Nonlinear Schr\"odinger Equations with Potentials Vanishing at Infinity, Journal E.M.S., 7 (2005), 117-144.

• Sagun Chanillo - Andrea Malchiodi: Asymptotic Morse theory for the equation $\Delta u = 2 u_x \wedge u_y$, Comm. Anal. Geom., 13 (1) (2005), 187-251.

• Jih-Hsin Cheng - Jenn-Fang Hwang - Andrea Malchiodi - Paul Yang: Minimal surfaces in pseudohermitian geometry and the Bernstein problem in the Heisenberg group, revised version, Annali Scuola Norm. Sup. Pisa, 1 (2005), 129-177.

• Andrea Malchiodi - Wei-Ming Ni - Juncheng Wei: Multiple Clustered Layer Solutions for Semilinear Neumann Problems on A Ball, Ann. I.H.P., AN, 22 (2005), 143-163.
  

• Andrea Malchiodi:  Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains, G.A.F.A.,  15-6 (2005), 1162-1222.
  

• Andrea Malchiodi - Michael Struwe: Q-curvature flow on S^4, J. Diff. Geom., 73-1 (2006), 1-44.

• Andrea Malchiodi: Compactness of solutions to some geometric fourth-order equations, J. Reine Angew. Math., 594 (2006), 137-174.
  

• Antonio Ambrosetti - Andrea Malchiodi - David Ruiz: Bound states of Nonlinear Schr\"odinger Equations with Potentials Vanishing at Infinity, J. Analyse Math, 98 (2006), 317-348.

• Fethi Mahmoudi - Andrea Malchiodi: Concentration on minimal submanifolds for a singularly perturbed Neumann problem, Adv. in Math., 209-2 (2007), 460-525.
  

• Andrea Malchiodi - Wei-Ming Ni - Juncheng Wei: Boundary Clustered Interfaces for the Allen-Cahn Equation, Pacific J. of Math., Vol. 229, No. 2, (2007), 447-468.
  

• Andrea Malchiodi - Cheikh Birahim Ndiaye:  Some existence results for the Toda system on closed surfaces,  Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 18 (2007), no. 4, 391-412.

• Andrea Malchiodi - Juncheng Wei: Boundary  Interface for the Allen-Cahn Equation, revised version, J. Fixed Point Theory and Appl.,  1 (2007), no. 2, 305-336.

•  Zindine Djadli - Andrea Malchiodi:  Existence of conformal metrics with constant $Q$-curvature, Ann. of Math. 168, No. 3,  813-858.
  

• Fethi Mahmoudi - Andrea Malchiodi - Juncheng Wei: Transition Layer for the Heterogeneous Allen-Cahn Equation, Ann. I.H.P., AN,  25 (2008), no. 3, 609-631.

• Andrea Malchiodi: Morse theory and a scalar field equation on compact surfaces, Adv. Diff. Eq., 13 (2008), 1109-1129. 

• Fethi Mahmoudi - Andrea Malchiodi - Marcelo Montenegro: Solutions to the nonlinear Schrodinger equation carrying momentum along a curve, Comm. Pure Appl. Math.,  62-9 (2009),1155-1264. 

• Andrea Malchiodi: Some new entire solutions of semilinear elliptic equations on R^n, Adv.  Math. 221 (2009), no. 6, 1843-1909.

• Jesus Garcia Azorero - Andrea Malchiodi - Luigi Montoro - Ireneo Peral: Concentration of solutions for some singularly perturbed mixed problems. Part I: existence results, Archive Rat. Mech. Anal., to appear. pdf file   

•  Jesus Garcia Azorero - Andrea Malchiodi - Luigi Montoro - Ireneo Peral: Concentration of solutions for some singularly perturbed mixed problems. Part II: asymptotics of minimal energy solutions, Ann. IHP Analyse non Lineaire, to appear. pdf file 

Notes and proceedings:

• Andrea Malchiodi: Some existence results for the scalar curvature problem via Morse theory, Rend. Mat. Acc. Lincei, s. 9, v. 10, (1999), 267-270.

• Antonio Ambrosetti - YanYan Li - Andrea Malchiodi:  Scalar Curvature under Boundary Conditions, C.R.A.S. 1 330 (2000), 1013-1018.

• Antonio Ambrosetti - Andrea Malchiodi - Wei-Ming Ni: Solutions, concentrating on spheres, to symmetric singularly perturbed problems, C.R.A.S. 335 (2002), 145-150.

• Andrea Malchiodi: Solutions concentrating at curves for some singularly perturbed elliptic problems, C.R.A.S. 338 (2004), no. 10, 775-780.
  

• Antonio Ambrosetti - Veronica Felli - Andrea Malchiodi: Ground states of Nonlinear Schr\"odinger Equations with Potentials Vanishing at Infinity, Rend. Mat. Acc. Lincei, 9-15 (2004), 81-86.

• Andrea Malchiodi: Costruzione di spike-layers multidimensionali. Diciassettesimo congresso dell'Unione Matematica Italiana, Milan, 2003, 603-616. Monograf, Bologna, 2004.

• Andrea Malchiodi - Marcelo Montenegro: Boundary layers of arbitrary dimension for a singularly perturbed Neumann problems, Mat. Contemp., 27 (2004), 117-146.

• Zindine Djadli - Andrea Malchiodi:  A fourth order uniformization theorem on some four manifolds with large total $Q$-curvature, C.R.A.S., 340 (2005), 341-346.

• Antonio Ambrosetti - Andrea Malchiodi - David Ruiz: Recent Trends on Nonlinear Elliptic Equations on $\Rn$,  Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 29 (2005), no. 1, 3-13.

• Andrea Malchiodi: Construction of multidimensional spike-layers, Discr. Cont. Dyn. Syst. 14 (2006), no.1,  187-202. 

• Fethi Mahmoudi - Andrea Malchiodi: Concentration at manifolds of arbitrary dimension for a singularly perturbed Neumann problem, Rend. Mat. Acc. Lincei, 17-3 (2006), 279-290.
  

• Antonio Ambrosetti - Andrea Malchiodi: Concentration Phenomena for NLS:  Recent Results and New Perspectives,  Perspectives in nonlinear partial differential equations, 19--30, Contemp. Math., 446, Amer. Math. Soc., Providence, RI, 2007.

• Andrea Malchiodi: Conformal metrics with constant Q-curvature, SIGMA Symmetry Integrability Geom. Methods Appl. 3 (2007), Paper 120. 

• Andrea Malchiodi: Minimal surfaces in three dimensional pseudo-hermitian manifolds, Minimal surfaces in three dimensional pseudo-Hermitian manifolds. Subelliptic PDE's and applications to geometry and finance, 195--207, Lect. Notes Semin. Interdiscip. Mat., 6, Semin. Interdiscip. Mat. (S.I.M.), Potenza, 2007.

• Andrea Malchiodi: Topological methods for an elliptic equations with exponential nonlinearities,  Discrete Contin. Dyn. Syst. 21 (2008), no. 1, 277-294.

• Fethi Mahmoudi - Andrea Malchiodi - Marcelo Montenegro: Solutions to the nonlinear Schr¨odinger equation carrying momentum along a curve,  C. R. Math. Acad. Sci. Paris 346 (2008), no. 1-2, 33-38.

• Andrea Malchiodi: Concentrating solutions of some singularly perturbed elliptic equations, Front. Math. China 3 (2008), no. 2, 239-252.

• Andrea Malchiodi: Entire solutions of autonomous equations on R^n with nontrivial asymptotics,  Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008), no. 1, 65--72.

• Andrea Malchiodi: Some recent results about a class of singularly perturbed elliptic equations, preprint. pdf file

• Andrea Malchiodi: On a class of nonlinear equations with exponential nonlinearities and measure data pdf file

Books:

• Antonio Ambrosetti - Andrea Malchiodi: Perturbation Methods and Semilinear Elliptic problems on R^n, Birkhauser, Progress in Mathematics, vol.240, (2005). link
  

• Antonio Ambrosetti - Andrea Malchiodi: Nonlinear Analysis and Semilinear Elliptic Problems, Cambridge Univ. Press, Cambridge Studies in Advanced Mathematics, No.104 (2007), link

• Antonio Ambrosetti - Alice Chang - Andrea Malchiodi (editors):  Lectures on Geometric Analysis and PDEs, Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007. Springer, LNM.  

Lecture Notes:

• Andrea Malchiodi: Concentration of solutions for some singularly perturbed Neumann problems, in " Lectures on Geometric Analysis and PDEs, Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007". (Springer, LNM) pdf file