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Manuel Del Pino

Prof

  • 4 WEST 3.48

20132023
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Research Output 2013 2019

2019
3 Downloads (Pure)

Blow-up for the 3-dimensional axially symmetric harmonic map flow into S2

Dávila, J., Pino, M. D., Pesce, C. & Wei, J., 31 Dec 2019, In : Discrete and Continuous Dynamical Systems- Series A. 39, 12, p. 6913-6943 31 p.

Research output: Contribution to journal › Article

Open Access
File
6 Downloads (Pure)

Green's function and infinite-time bubbling in the critical nonlinear heat equation

Cortazar, C., Musso, M. & Del Pino, M., 1 Oct 2019, In : Journal of the European Mathematical Society. 22, 1, p. 283-344 62 p.

Research output: Contribution to journal › Article

Open Access
File

Interface Dynamics in Semilinear Wave Equations

del Pino, M., Jerrard, R. L. & Musso, M., 5 Dec 2019, In : Communications in Mathematical Physics. p. 1-39 39 p.

Research output: Contribution to journal › Article

Sign-changing blowing-up solutions for the critical nonlinear heat equation

Musso, M., Del Pino, M., Wei, J. & Zheng, Y., 21 Mar 2019, (Accepted/In press) In : Annali della Scuola Normale Superiore di Pisa.

Research output: Contribution to journal › Article

1 Citation (Scopus)

Singularity formation for the two-dimensional harmonic map flow into S2

Davila Bonczos, J., Del Pino, M. & Wei, J., 27 Jul 2019, In : Inventiones Mathematicae. p. 1-122 122 p.

Research output: Contribution to journal › Article

Open Access
2018
1 Citation (Scopus)

Ancient shrinking spherical interfaces in the Allen-Cahn flow

del Pino, M. & Gkikas, K. T., 1 Jan 2018, In : Annales De L Institut Henri Poincare: Analyse Non Linéaire. 35, 1, p. 187-215 29 p.

Research output: Contribution to journal › Article

New type i ancient compact solutions of the Yamabe flow

Daskalopoulos, P., Del Pino, M., King, J. & Sesum, N., 29 Jan 2018, In : Mathematical Research Letters. 24, 6, p. 1667-1691 25 p.

Research output: Contribution to journal › Article

Converge
9 Citations (Scopus)
20 Downloads (Pure)

NONLOCAL s-MINIMAL SURFACES AND LAWSON CONES

Del Pino, M., Davila, J. & Wei, J., 4 May 2018, In : Journal of Differential Geometry. 109 , 1, p. 111-175 65 p.

Research output: Contribution to journal › Article

Open Access
File
8 Citations (Scopus)
8 Downloads (Pure)

Type II ancient compact solutions to the Yamabe flow

Daskalopoulos, P., Del Pino, M. & Sesum, N., 1 May 2018, In : Journal für die reine und angewandte Mathematik (Crelles Journal). 2018, 738, p. 1-71 71 p.

Research output: Contribution to journal › Article

Open Access
File
2017
3 Citations (Scopus)

Bubbling blow-up in critical parabolic problems

del Pino, M., 4 Oct 2017, Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions - Cetraro, Italy 2016. Bonforte, M. & Grillo, G. (eds.). Cham, Switzerland: Springer International Publishing, p. 73-116 44 p. (Lecture Notes in Mathematics; vol. 2186).

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

Catenoidal layers for the Allen-Cahn equation in bounded domains

Agudelo, O., Del Pino, M. & Wei, J., 1 Jan 2017, In : Chinese Annals of Mathematics - Series B. 38, 1, p. 13-44 32 p.

Research output: Contribution to journal › Article

10 Citations (Scopus)

Delaunay-type singular solutions for the fractional Yamabe problem

DelaTorre, A., del Pino, M., González, M. D. M. & Wei, J., 17 Oct 2017, In : Mathematische Annalen. 369, 1-2, p. 597-626 30 p.

Research output: Contribution to journal › Article

2 Downloads (Pure)

Finite topology self-translating surfaces for the mean curvature flow in R3

Dávila, J., Del Pino, M. & Nguyen, X. H., 7 Nov 2017, In : Advances in Mathematics. 320, p. 674-729 56 p.

Research output: Contribution to journal › Article

Open Access
File
4 Citations (Scopus)

Finite topology self-translating surfaces for the mean curvature flow in R3

Dávila, J., del Pino, M. & Nguyen, X. H., 7 Nov 2017, In : Advances in Mathematics. 320, p. 674-729 56 p.

Research output: Contribution to journal › Article

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions - Cetraro, Italy

Carrillo, J. A., del Pino, M., Figalli, A., Mingione, G. & Vázquez, J. L., 2017, Cham, Switzerland: Springer, Cham; Fondazione C.I.M.E., Florence. (Lecture Notes in Mathematics : C. I. M.E. Foundation Sub series; vol. 2186)

Research output: Book/Report › Book

2 Downloads (Pure)

On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains

Chipot, M., Dávila, J. & del Pino, M., 1 Mar 2017, In : Journal of Fixed Point Theory and Applications. 19, 1, p. 205-213 9 p.

Research output: Contribution to journal › Article

Open Access
File
Semilinear Elliptic Equations
Positive Solution
Asymptotic Behavior
Infinite Domain
Minimizer
2016
2 Citations (Scopus)

An introduction to the finite and infinite dimensional reduction methods

del Pino, M. & Wei, J., 2016, Geometric Analysis Around Scalar Curvatures. Han, F., Xu, X. & Zhang, W. (eds.). World Sci. Publ., Hackensack, NJ, p. 35-118 84 p. (Lecture Notes Series Institute for Mathematical Sciences. National University of Singapore; vol. 31).

Research output: Chapter in Book/Report/Conference proceeding › Other chapter contribution

4 Citations (Scopus)

Higher-dimensional catenoid, Liouville equation, and Allen-Cahn equation

Agudelo, O., del Pino, M. & Wei, J., 1 Dec 2016, In : International Mathematics Research Notices. 2016, 23, p. 7051-7102 52 p.

Research output: Contribution to journal › Article

8 Citations (Scopus)

Large mass boundary condensation patterns in the stationary Keller-Segel system

del Pino, M., Pistoia, A. & Vaira, G., 15 Sep 2016, In : Journal of Differential Equations. 261, 6, p. 3414-3462 49 p.

Research output: Contribution to journal › Article

12 Citations (Scopus)
2 Downloads (Pure)

Nonlocal Delaunay surfaces

Dávila, J., del Pino, M., Dipierro, S. & Valdinoci, E., 1 May 2016, In : Nonlinear Analysis: Theory Methods & Applications. 137, p. 357-380 24 p.

Research output: Contribution to journal › Article

Open Access
File
6 Citations (Scopus)
2 Downloads (Pure)

Solutions of the fractional Allen-Cahn equation which are invariant under screw motion

Cinti, E., Davila, J. & Del Pino, M., 19 Jun 2016, In : Journal of the London Mathematical Society. 94, 1, p. 295-313 19 p.

Research output: Contribution to journal › Article

Open Access
File
3 Citations (Scopus)

Type I ancient compact solutions of the Yamabe flow

Daskalopoulos, P., del Pino, M., King, J. & Sesum, N., 1 May 2016, In : Nonlinear Analysis: Theory Methods & Applications. 137, p. 338-356 19 p.

Research output: Contribution to journal › Article

2015
73 Citations (Scopus)
3 Downloads (Pure)

Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

Dávila, J., del Pino, M., Dipierro, S. & Valdinoci, E., 28 Jul 2015, In : Analysis & PDE. 8, 5, p. 1165-1235 71 p.

Research output: Contribution to journal › Article

Open Access
File
15 Citations (Scopus)

Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials

del Pino, M., Wei, J. & Yao, W., 1 May 2015, In : Calculus of Variations and Partial Differential Equations. 53, 1-2, p. 473-523 51 p.

Research output: Contribution to journal › Article

5 Citations (Scopus)

Large conformal metrics with prescribed sign-changing Gauss curvature

del Pino, M. & Román, C., 1 Sep 2015, In : Calculus of Variations and Partial Differential Equations. 54, 1, p. 763-789 27 p.

Research output: Contribution to journal › Article

6 Citations (Scopus)

Nontopological condensates for the self-dual Chern-Simons-Higgs model

del Pino, M., Esposito, P., Figueroa, P. & Musso, M., 1 Jul 2015, In : Communications on Pure and Applied Mathematics. 68, 7, p. 1191-1283 93 p.

Research output: Contribution to journal › Article

11 Citations (Scopus)

Serrin's overdetermined problem and constant mean curvature surfaces

Del Pino, M., Pacard, F. & Wei, J., 1 Nov 2015, In : Duke Mathematical Journal. 164, 14, p. 2643-2722 80 p.

Research output: Contribution to journal › Article

10 Citations (Scopus)

Solutions with multiple catenoidal ends to the Allen-Cahn equation in R3

Agudelo, O., del Pino, M. & Wei, J., 1 Jan 2015, In : Journal de Mathematiques Pures et Appliquees. 103, 1, p. 142-218 77 p.

Research output: Contribution to journal › Article

2014
11 Citations (Scopus)

Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents

del Pino, M., Mahmoudi, F. & Musso, M., 17 Sep 2014, In : Journal of the European Mathematical Society. 16, 8, p. 1687-1748 62 p.

Research output: Contribution to journal › Article

130 Citations (Scopus)
3 Downloads (Pure)

Concentrating standing waves for the fractional nonlinear Schrödinger equation

Dávila, J., del Pino, M. & Wei, J., 15 Jan 2014, In : Journal of Differential Equations. 256, 2, p. 858-892 35 p.

Research output: Contribution to journal › Article

Open Access
File
2013
36 Citations (Scopus)

Nondegeneracy of the bubble in the critical case for nonlocal equations

Dávila, J., Del Pino, M. & Sire, Y., 30 Nov 2013, In : Proceedings of the American Mathematical Society. 141, 11, p. 3865-3870

Research output: Contribution to journal › Article

Open Access
9 Citations (Scopus)

Non-uniqueness of positive ground states of non-linear Schrödinger equations

Dávila, J., Del Pino, M. & Guerra, I., 1 Feb 2013, In : Proceedings of the London Mathematical Society. 106, 2, p. 318-344

Research output: Contribution to journal › Article