Manuel Del Pino

Prof

  • 4 WEST 3.48

20102023
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Research Output 2010 2020

  • 51 Article
  • 2 Other chapter contribution
  • 1 Book
  • 1 Conference contribution
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Article
2020
8 Downloads (Pure)

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

Cortazar, C., Musso, M. & Del Pino, M., 31 Jan 2020, In : Journal of the European Mathematical Society. 22, 1, p. 283-344 62 p.

Research output: Contribution to journalArticle

Open Access
File
1 Citation (Scopus)

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

Davila Bonczos, J., Del Pino, M. & Wei, J., 29 Feb 2020, In : Inventiones Mathematicae. 219, 2, p. 345-466 122 p.

Research output: Contribution to journalArticle

Open Access
2019
6 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 journalArticle

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 journalArticle

1 Citation (Scopus)

Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3

del Pino, M., Musso, M., Román, C. & Wei, J., 1 Mar 2019, In : Journal d'Analyse Mathematique. 137, 2, p. 813-843 31 p.

Research output: Contribution to journalArticle

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 journalArticle

3 Citations (Scopus)

Type II Blow-up in the 5-dimensional Energy Critical Heat Equation

del Pino, M., Musso, M. & Wei, J. C., 1 Jun 2019, In : Acta Mathematica Sinica, English Series. 35, 6, p. 1027-1042 16 p.

Research output: Contribution to journalArticle

2018

Ancient multiple-layer solutions to the Allen-Cahn equation

Pino, M. D. & Gkikas, K. T., 1 Dec 2018, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 148, 6, p. 1165-1199 35 p.

Research output: Contribution to journalArticle

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 journalArticle

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 journalArticle

Converge
9 Citations (Scopus)
22 Downloads (Pure)

NONLOCAL s-MINIMAL SURFACES AND LAWSON CONES

Davila, J., Del Pino, M. & Wei, J., 31 May 2018, In : The Journal of Differential Geometry. 109 , 1, p. 111-175 65 p.

Research output: Contribution to journalArticle

Open Access
File
7 Citations (Scopus)
9 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 journalArticle

Open Access
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2017

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 journalArticle

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 journalArticle

3 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 journalArticle

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 journalArticle

3 Downloads (Pure)
Open Access
File
Semilinear Elliptic Equations
Positive Solution
Asymptotic Behavior
Infinite Domain
Minimizer
2016
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 journalArticle

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 journalArticle

12 Citations (Scopus)
3 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 journalArticle

Open Access
File
6 Citations (Scopus)
3 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 journalArticle

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 journalArticle

2015
74 Citations (Scopus)
4 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 journalArticle

Open Access
File
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 journalArticle

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 journalArticle

12 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 journalArticle

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 journalArticle

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 journalArticle

132 Citations (Scopus)
4 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 journalArticle

Open Access
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2013
25 Citations (Scopus)

Entire solutions of the allen-cahn equation and complete embedded minimal surfaces of finite total curvature in ℝ3

Del Pino, M., Kowalczyk, M. & Wei, J., 1 Jan 2013, In : Journal of Differential Geometry. 93, 1, p. 67-131 65 p.

Research output: Contribution to journalArticle

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 journalArticle

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 journalArticle

5 Citations (Scopus)

The Euclidean Onofri inequality in higher dimensions

Del Pino, M. & Dolbeault, J., 12 Aug 2013, In : International Mathematics Research Notices. 2013, 15, p. 3600-3611 12 p.

Research output: Contribution to journalArticle

21 Citations (Scopus)

Torus action on Sn and sign-changing solutions for conformally invariant equations

Del Pino, M., Musso, M., Pacard, F. & Pistoia, A., 1 Jan 2013, In : Annali della Scuola Normale - Classe di Scienze. 12, 1, p. 209-237 29 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)

Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation

Del Pino, M., Kowalczyk, M. & Wei, J., 1 Apr 2013, In : Communications on Pure and Applied Mathematics. 66, 4, p. 481-547 67 p.

Research output: Contribution to journalArticle

2012
8 Citations (Scopus)

Beyond the Trudinger-Moser supremum

del Pino, M., Musso, M. & Ruf, B., 1 Jul 2012, In : Calculus of Variations and Partial Differential Equations. 44, 3-4, p. 543-576 34 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Moduli space theory for the allen-cahn equation in the plane

Del Pino, M., Kowalczyk, M. & Pacard, F., 30 Nov 2012, In : Transactions of the American Mathematical Society. 365, 2, p. 721-766 46 p.

Research output: Contribution to journalArticle

24 Citations (Scopus)

Nondegeneracy of entire solutions of a singular liouvillle equation

del Pino, M., Esposito, P. & Musso, M., 1 Jan 2012, In : Proceedings of the American Mathematical Society. 140, 2, p. 581-588 8 p.

Research output: Contribution to journalArticle

Open Access
8 Citations (Scopus)

On De Giorgi's conjecture and beyond

Del Pino, M., Kowalczyk, M. & Wei, J., 1 May 2012, In : Proceedings of the National Academy of Sciences of the United States of America. 109, 18, p. 6845-6850 6 p.

Research output: Contribution to journalArticle

Open Access
9 Citations (Scopus)

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

del Pino, M., Musso, M. & Pacard, F., 1 Jul 2012, In : Manuscripta Mathematica. 138, 3-4, p. 273-286 14 p.

Research output: Contribution to journalArticle

2011
6 Citations (Scopus)

Bistable Boundary Reactions in Two Dimensions

Dávila, J., Del Pino, M. & Musso, M., 1 Apr 2011, In : Archive for Rational Mechanics and Analysis. 200, 1, p. 89-140 52 p.

Research output: Contribution to journalArticle

35 Citations (Scopus)

Large energy entire solutions for the Yamabe equation

Del Pino, M., Musso, M., Pacard, F. & Pistoia, A., 1 Nov 2011, In : Journal of Differential Equations. 251, 9, p. 2568-2597 30 p.

Research output: Contribution to journalArticle

Open Access
100 Citations (Scopus)

On De Giorgi's conjecture in dimension N ≥ 9

del Pino, M., Kowalczyk, M. & Wei, J., 1 Nov 2011, In : Annals of Mathematics. 174, 3, p. 1485-1569 85 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Solutions to the Allen Cahn Equation and Minimal Surfaces

del Pino, M. & Wei, J., 1 Jun 2011, In : Milan Journal of Mathematics. 79, 1, p. 39-65 27 p.

Research output: Contribution to journalArticle

2010
19 Citations (Scopus)

A logarithmic Hardy inequality

del Pino, M., Dolbeault, J., Filippas, S. & Tertikas, A., 15 Oct 2010, In : Journal of Functional Analysis. 259, 8, p. 2045-2072 28 p.

Research output: Contribution to journalArticle

Open Access
28 Citations (Scopus)

Bubbling along boundary geodesics near the second critical exponent

Del Pino, M., Musso, M. & Pacard, F., 28 Sep 2010, In : Journal of the European Mathematical Society. 12, 6, p. 1553-1605 53 p.

Research output: Contribution to journalArticle

27 Citations (Scopus)

Interface Foliation near Minimal Submanifolds in Riemannian Manifolds with Positive Ricci Curvature

del Pino, M., Kowalczyk, M., Wei, J. & Yang, J., 1 Oct 2010, In : Geometric and Functional Analysis. 20, 4, p. 918-957 40 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Relative Equilibria in Continuous Stellar Dynamics

Campos, J., del Pino, M. & Dolbeault, J., 1 Dec 2010, In : Communications in Mathematical Physics. 300, 3, p. 765-788 24 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)

The Jacobi-Toda system and foliated interfaces

Del Pino, M., Kowalczyk, M. & Wei, J., 1 Nov 2010, In : Discrete and Continuous Dynamical Systems. 28, 3, p. 975-1006 32 p.

Research output: Contribution to journalArticle