Juan Davila Bonczos

2024

Asymptotic properties of vortex-pair solutions for incompressible Euler equations in R2

Davila Bonczos, J., Del Pino, M., Musso, M. & Parmeshwar, S., 5 Nov 2024, In: Journal of Differential Equations. 408, p. 33-63 31 p.

Research output: Contribution to journal › Article › peer-review

Open Access

Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System

Davila Bonczos, J., Del Pino, M., Dolbeault, J., Musso, M. & Wei, J., 31 Aug 2024, In: Archive for Rational Mechanics and Analysis. 248, 4, 154 p., 61.

Research output: Contribution to journal › Article › peer-review

Open Access

1 Citation (SciVal)

Leapfrogging vortex rings for the three-dimensional incompressible Euler equations

Davila Bonczos, J., Musso, M., Del Pino, M. & Wei, J., 31 Oct 2024, In: Communications on Pure and Applied Mathematics. 77, 10, p. 3843-3957 115 p.

Research output: Contribution to journal › Article › peer-review

Open Access

3 Citations (SciVal)

Leapfrogging vortex rings for the three-dimensional incompressible Euler equations

Dávila, J., Pino, M. D., Musso, M. & Wei, J., 31 Oct 2024, In: Communications on Pure and Applied Mathematics. 77, 10, p. 3843-3957 115 p.

Research output: Contribution to journal › Article › peer-review

Open Access

4 Citations (SciVal)

2022

Interacting helical vortex filaments in the 3-dimensional Ginzburg-Landau equation

Davila Bonczos, J., Del Pino, M., Rodiac, R. & Medina, M., 31 Dec 2022, In: Journal of the European Mathematical Society. 24, 12, p. 4143-4199 57 p.

Research output: Contribution to journal › Article › peer-review

Open Access

5 Citations (SciVal)

Travelling helices and the vortex filament conjecture in the incompressible Euler equations

Davila , J., Del Pino, M., Musso, M. & Wei, J., 31 Aug 2022, In: Calculus of Variations and Partial Differential Equations. 61, 4, 119.

Research output: Contribution to journal › Article › peer-review

Open Access

10 Citations (SciVal)

2021

Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation

Ao, W., Davila Bonczos, J., Del Pino, M., Musso, M. & Wei, J., 31 Dec 2021, In: Transactions of the American Mathematical Society. 374, 9, p. 6665-6689 25 p.

Research output: Contribution to journal › Article › peer-review

Open Access

22 Citations (SciVal)

2020

Long-time asymptotics for evolutionary crystal dislocation models

Cozzi, M., Dávila, J. & Pino, M. D., 16 Sept 2020, In: Advances in Mathematics. 371, 107242.

Research output: Contribution to journal › Article › peer-review

Open Access

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8 Citations (SciVal)

103 Downloads (Pure)

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 journal › Article › peer-review

Open Access

39 Citations (SciVal)

2019

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 › peer-review

Open Access

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1 Citation (SciVal)

63 Downloads (Pure)

2018

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.

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31 Citations (SciVal)

91 Downloads (Pure)

2017

Bubbling solutions for nonlocal elliptic problems

Dávila, J., López Ríos, L. & Sire, Y., 31 Dec 2017, In: Revista Matemática Iberoamericana. 33, 2, p. 509-546 38 p.

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18 Citations (SciVal)

74 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.

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18 Citations (SciVal)

49 Downloads (Pure)

New type of solutions to a slightly subcritical Hénon type problem on general domains

Dávila, J., Faya, J. & Mahmoudi, F., 5 Dec 2017, In: Journal of Differential Equations. 263, 11, p. 7221-7249 29 p.

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12 Citations (SciVal)

60 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.

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4 Citations (SciVal)

72 Downloads (Pure)

On the fractional Lane-Emden equation

Dávila, J., Dupaigne, L. & Wei, J., 30 Sept 2017, In: Transactions of the American Mathematical Society. 369, 9, p. 6087-6104 18 p.

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45 Citations (SciVal)

55 Downloads (Pure)

Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation

Clerc, M. G., Dávila, J. D., Kowalczyk, M., Smyrnelis, P. & Vidal-henriquez, E., 1 Aug 2017, In: Calculus of Variations and Partial Differential Equations. 56, 4, 93.

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12 Citations (SciVal)

75 Downloads (Pure)

2016

Bubble tower solutions for a supercritical elliptic problem in R^N

Chen, W., Dávila, J. & Guerra, I., 2016, In: Annali della Scuola Normale Superiore di Pisa. 15, p. 85-116 32 p.

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6 Citations (SciVal)

42 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.

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27 Citations (SciVal)

46 Downloads (Pure)

Qualitative analysis of rupture solutions for a MEMS problem

Dávila, J., Wang, K. & Wei, J., 1 Jan 2016, In: Annales De L Institut Henri Poincare: Analyse Non Linéaire. 33, 1, p. 221-242 22 p.

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11 Citations (SciVal)

49 Downloads (Pure)

Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents

Dávila, J. & Guerra, I., 1 Jul 2016, In: Journal d'Analyse Mathematique. 129, 1, p. 367-391 25 p.

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6 Citations (SciVal)

70 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.

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17 Citations (SciVal)

101 Downloads (Pure)

2015

Bubbling solutions for supercritical problems on manifolds

Dávila, J., Pistoia, A. & Vaira, G., 1 Jun 2015, In: Journal de Mathématiques Pures et Appliquées. 103, 6, p. 1410-1440 31 p.

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Open Access

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11 Citations (SciVal)

60 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.

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107 Citations (SciVal)

62 Downloads (Pure)

Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary

Abdellaoui, B., Biroud, K., Davila, J. & Mahmoudi, F., 1 Jun 2015, In: Communications in Contemporary Mathematics. 17, 03, 1450033.

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1 Citation (SciVal)

79 Downloads (Pure)

2014

A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem

Dávila, J., Dupaigne, L., Wang, K. & Wei, J., 20 Jun 2014, In: Advances in Mathematics. 258, p. 240-285 46 p.

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77 Citations (SciVal)

58 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.

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216 Citations (SciVal)

66 Downloads (Pure)

Partial regularity for a Liouville system

Goubet, O. & Dávila, J., 30 Jun 2014, In: Discrete and Continuous Dynamical Systems. 34, 6, p. 2495-2503 9 p.

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6 Citations (SciVal)

55 Downloads (Pure)

2013

A Hardy type inequality for $W^{m,1}_0(\Omega)$ functions

Castro, H., Dávila, J. & Wang, H., 1 Jan 2013, In: Journal of the European Mathematical Society. 15, 1, p. 145-155

Research output: Contribution to journal › Article › peer-review

3 Citations (SciVal)

Multiplicity and singular solutions for a Liouville-type system in a ball

Dávila, J., Flores, I. & Guerra, I., 30 Sept 2013, In: Advances in Differential Equations. 18, 9-10, p. 797-824 28 p.

Research output: Contribution to journal › Article › peer-review

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 › peer-review

Open Access

68 Citations (SciVal)

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 › peer-review

27 Citations (SciVal)

On finite Morse index solutions of two equations with negative exponent

Dávila, J. & Ye, D., 1 Feb 2013, In: Proceedings of the Royal Society of Edinburgh Section A - Mathematics. 143, 1, p. 121-128

Research output: Contribution to journal › Article › peer-review

10 Citations (SciVal)

Pulsating fronts for nonlocal dispersion and KPP nonlinearity

Coville, J., Dávila, J. & Martínez, S., 1 Mar 2013, In: Annales De L Institut Henri Poincare: Analyse Non Linéaire. 30, 2, p. 179-223

Research output: Contribution to journal › Article › peer-review

106 Citations (SciVal)

Regular solutions to a supercritical elliptic problem in exterior domains

Dávila, J. & López, L. F., 15 Aug 2013, In: Journal of Differential Equations. 255, 4, p. 701-727

Research output: Contribution to journal › Article › peer-review

3 Citations (SciVal)

Resonance phenomenon for a Gelfand-type problem

Chen, W. & Dávila, J., 1 Sept 2013, In: Nonlinear Analysis: Theory Methods & Applications. 89, p. 299-321

Research output: Contribution to journal › Article › peer-review

Open Access

5 Citations (SciVal)

Juan Davila Bonczos

Research output

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