Concentration phenomena in nonlinear analysis

Research output

Research output per year 2019 2019 2020 2021 2022 2024 2024

• 26 Article
• 1 Preprint

Research output per year

Research output per year

Search results

• 2024

  Cluster of vortex helices in the incompressible 3d Euler equations

  Guerra, I. & Musso, M., 9 Apr 2024, (E-pub ahead of print) In: Annales De L Institut Henri Poincare: Analyse Non Linéaire.

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

  Open Access

  • Vortex 100%
  • Euler Equation 100%
  • Helix 100%
  • Incompressible Fluid 50%
  • Inviscid Fluid 50%

• Leapfrogging vortex rings for the 3-dimensional incompressible Euler equations

  Davila Bonczos, J., Musso, M., Del Pino, M. & Wei, J., 8 Mar 2024, (Acceptance date) arXiv, 67 p.

  Research output: Working paper / Preprint › Preprint

  • Euler Equation 100%
  • Vortex Ring 100%

• 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

  • Euler Equation 100%
  • Vortex Ring 100%
  3 Citations (SciVal)

• Nodal cluster solutions for the Brezis-Nirenberg problem in dimensions N ≥ 7

  Musso, M., Rocci, S. & Vaira, G., 30 Jun 2024, In: Calculus of Variations and Partial Differential Equations. 63, 5, 119.

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

  Open Access

  • Bounded Domain 100%
  • Nodal Solution 100%
• 2023

  Doubling the equatorial for the prescribed scalar curvature problem on S^N

  Duan, L., Musso, M. & Wei, S., 21 Mar 2023, In: Nonlinear Differential Equations and Applications. 30, 3, 40.

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

  Open Access

  • Subgroup 100%
  7 Citations (SciVal)
• 2022

  Bubbling blow-up in critical elliptic and parabolic problems

  Musso, M., 1 Nov 2022, In: Notices of the American Mathematical Society. 69, 10, p. 1700-1706 7 p., 69.

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

  Open Access

  File

  • Parabolic Problem 100%
  50 Downloads (Pure)

• New type of solutions for the nonlinear Schrödinger equation in R^N

  Duan, L. & Musso, M., 5 Nov 2022, In: Journal of Differential Equations. 336, p. 479-504 26 p.

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

  Open Access

  • Schr Dinger Equation 100%
  16 Citations (SciVal)

• Non-degeneracy and existence of new solutions for the Schrödinger equations

  Guo, Y., Musso, M., Peng, S. & Yan, S., 25 Jul 2022, In: Journal of Differential Equations. 326, p. 254-279 26 p.

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

  • Nonlinear Problem 100%
  • Positive Function 100%
  • Nonexistence 100%
  • Symmetric Space 100%
  • Nondegeneracy 100%
  8 Citations (SciVal)

• ON THE NON-EXISTENCE OF COMPACT SURFACES OF GENUS ONE WITH PRESCRIBED, ALMOST CONSTANT MEAN CURVATURE, CLOSE TO THE SINGULAR LIMIT

  Caldiroli, P., Iacopetti, A. & Musso, M., 31 Mar 2022, In: Advances in Differential Equations. 27, 3-4, p. 193-252 60 p.

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

  • Mean Curvature 100%
  • Nonexistence 100%
  • Compact Surface 100%
  • Parametric 33%
  • Reference System 33%
  1 Citation (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

  • Euler Equation 100%
  • Circle 50%
  • Vortex Ring 50%
  • Constant Speed 50%
  • Open Question 50%
  10 Citations (SciVal)
• 2021

  Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary

  Kim, S., Musso, M. & Wei, J., 19 Oct 2021, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 38, 6, p. 1763-1793 31 p.

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

  Open Access

  File

  • Mean Curvature 100%
  • Dimensional Manifold 100%
  • Second Fundamental Form 100%
  • Manifold 66%
  • Compact Riemannian Manifold 33%
  5 Citations (SciVal)

  46 Downloads (Pure)

• Doubling nodal solutions to the Yamabe equation in Rⁿ with maximal rank

  Medina, M. & Musso, M., 31 Aug 2021, In: Journal des Mathematiques Pures et Appliquees. 152, p. 145-188

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

  Open Access

  File

  • Family 100%
  20 Citations (SciVal)

  87 Downloads (Pure)

• EXISTENCE AND STABILITY OF INFINITE TIME BUBBLE TOWERS IN THE ENERGY CRITICAL HEAT EQUATION

  del Pino, M., Musso, M. & Wei, J., 22 Aug 2021, In: Analysis and PDE. 14, 5, p. 1557-1598 42 p.

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

  Open Access

  File

  • Heat Equation 100%
  • Initial Condition 100%
  • Gradient Flow 33%
  • Codimension 33%
  • Finite Energy 33%
  15 Citations (SciVal)

  82 Downloads (Pure)

• Geometry driven type II higher dimensional blow-up for the critical heat equation

  del Pino, M., Musso, M. & Wei, J., 1 Jan 2021, In: Journal of Functional Analysis. 280, 1, 108788.

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

  Open Access

  File

  • Heat Equation 100%
  • Circle 100%
  • One Dimension 100%
  • Critical Exponent 100%
  • Dirac Measure 100%
  13 Citations (SciVal)

  72 Downloads (Pure)

• High energy sign-changing solutions for Coron's problem

  Deng, S. & Musso, M., 15 Jan 2021, In: Journal of Differential Equations. 271, p. 916-962 47 p.

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

  Open Access

  File

  • Changing Solution 100%
  • Smooth Domain 33%
  • Bounded Domain 33%
  3 Citations (SciVal)

  54 Downloads (Pure)

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

  Del Pino, M., Musso, M., Wei, J. & Zheng, Y., 31 Jan 2021, In: Annali della Scuola Normale Superiore di Pisa. XXI, p. 569-641 73 p.

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

  Open Access

  File

  • Heat Equation 100%
  • Blowing Up Solution 100%
  • Dirichlet Boundary Condition 50%
  • Initial Datum 50%
  • Bounded Domain 50%
  6 Citations (SciVal)

  64 Downloads (Pure)

• 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

  • Partial Differential Equation 100%
  • Elliptic Equation 100%
  • Singular Perturbations 100%
  • Constant Speed 100%
  • Nondegeneracy 100%
  22 Citations (SciVal)
• 2020

  A semilinear elliptic equation with competing powers and a radial potential

  Musso, M. & Pimentel, J., 1 Mar 2020, In: Journal d'Analyse Mathematique. 140, 1, p. 283-298 16 p.

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

  Open Access

  File

  • Elliptic Equation 100%
  • Semilinear 100%
  • Superposition 100%
  • Positive Solution 50%
  • Semilinear Equation 50%
  105 Downloads (Pure)

• Gluing Methods for Vortex Dynamics in Euler Flows

  Davila, J., Del Pino, M., Musso, M. & Wei, J., 1 Mar 2020, In: Archive for Rational Mechanics and Analysis. 235, 3, p. 1467-1530 64 p.

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

  • Euler Flow 100%
  • Adhesive Bonding 100%
  • Smooth Domain 100%
  • Liouville Equation 100%
  • Vorticity 33%
  43 Citations (SciVal)

• Infinite-time blow-up for the 3-dimensional energy-critical heat equation

  Del Pino, M., Musso, M. & Wei, J., 6 Jan 2020, In: Analysis and PDE. 13, 1, p. 215-274 60 p.

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

  • Heat Equation 100%
  • Initial Datum 50%
  • Positive Solution 50%
  29 Citations (SciVal)

• Interface Dynamics in Semilinear Wave Equations

  del Pino, M., Jerrard, R. L. & Musso, M., 28 Feb 2020, In: Communications in Mathematical Physics. 373, p. 971-1009 39 p.

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

  Open Access

  File

  • Mean Curvature 100%
  • Wave Equation 100%
  • Semilinear 100%
  • Hypersurfaces 50%
  • Parabolic 50%
  2 Citations (SciVal)

  62 Downloads (Pure)

• Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications

  Guo, Y., Musso, M., Peng, S. & Yan, S., 1 Oct 2020, In: Journal of Functional Analysis. 279, 6, 108553.

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

  Open Access

  File

  • Scalar Curvature 100%
  • Nondegeneracy 100%
  • Positive Function 33%
  35 Citations (SciVal)

  71 Downloads (Pure)

• Type II finite time blow-up for the energy critical heat equation in R⁴

  del Pino, M., Musso, M., Wei, J. & Zhou, Y., 30 Jun 2020, In: Discrete and Continuous Dynamical Systems- Series A. 40, 6, p. 3327-3335 9 p.

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

  Open Access

  • Heat Equation 100%
  • Finite Time 100%
  • Initial Condition 50%
  12 Citations (SciVal)
• 2019

  Concentration at sub-manifolds for an elliptic Dirichlet problem near high critical exponents

  Deng, S., Mahmoudi, F. & Musso, M., 1 Feb 2019, In: Proceedings of the London Mathematical Society. 118, 2, p. 379-415 37 p.

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

  Open Access

  File

  • Manifold 100%
  • Critical Exponent 100%
  • Dirichlet Problem 100%
  • Dirichlet Boundary Condition 50%
  • Bounded Domain 50%
  1 Citation (SciVal)

  70 Downloads (Pure)

• Desingularization of Clifford torus and nonradial solutions to the Yamabe problem with maximal rank

  Medina, M., Musso, M. & Wei, J., 15 Apr 2019, In: Journal of Functional Analysis. 276, 8, p. 2470-2523 54 p.

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

  Open Access

  File

  • Maximal Rank 100%
  15 Citations (SciVal)

  48 Downloads (Pure)

• 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 journal › Article › peer-review

  • Smooth Domain 100%
  • Neumann Boundary Condition 100%
  • Positive Solution 100%
  • Interior Point 100%
  • positive number δ 100%
  7 Citations (SciVal)

• 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 journal › Article › peer-review

  • Heat Equation 100%
  • Initial Condition 50%
  27 Citations (SciVal)