Andrea Malchiodi: list of publications
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