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Mathematics

D-Index
36
Citations
4003
World Ranking
2697
National Ranking
178

Overview

Monica Musso is affiliated with the University of Bath in the United Kingdom and has contributed extensively to the field of Mathematics, with a focus on applied aspects. Their research encompasses a broad range of mathematical disciplines related to nonlinear phenomena and mathematical physics.

The main areas of research for Monica Musso include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Navier-Stokes Equation Solutions
  • Geometric Analysis and Curvature Flows
  • Fluid Dynamics and Turbulent Flows
  • Advanced Mathematical Modeling in Engineering
  • Spectral Theory in Mathematical Physics

Their publication record highlights active participation in several subfields of study, such as:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Mechanics
  • Computational Theory and Mathematics
  • Control and Systems Engineering

Monica Musso's published works have appeared mainly in venues including:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Journal of Functional Analysis
  • Calculus of Variations and Partial Differential Equations
  • Annales de l'Institut Henri Poincaré C Analyse Non Linéaire

Significant recent papers by Monica Musso feature topics that range from advanced scalar curvature problems to solutions of nonlinear Schrödinger and Euler equations. Key publications include:

  • "Non-degeneracy of multi-bubbling solutions for the prescribed scalar curvature equations and applications," 2020, Journal of Functional Analysis
  • "Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation," 2021, Transactions of the American Mathematical Society
  • "Travelling helices and the vortex filament conjecture in the incompressible Euler equations," 2022, Calculus of Variations and Partial Differential Equations
  • "Doubling nodal solutions to the Yamabe equation in ℝⁿ with maximal rank," 2021, Journal de Mathématiques Pures et Appliquées
  • "New type of solutions for the nonlinear Schrödinger equation in ℝᴺ," 2022, Journal of Differential Equations

Monica Musso has collaborated frequently with several researchers, notably:

  • Manuel del Pino
  • Juan Dávila
  • Juncheng Wei
  • Lipeng Duan
  • Shrish Parmeshwar

This profile reflects Monica Musso's research trajectory, evidencing a consistent contribution to applied mathematics and mathematical physics with substantial engagement in solving complex differential equations and related mathematical challenges.

Best Publications

  • Two-bubblesolutions in the super-critical Bahri-Coron's problem

    M. Del Pino;P. Felmer;Monica Musso

  • Singular limits in liouville-type equations

    Manuel del Pino;Michal Kowalczyk;Monica Musso;Monica Musso

  • Two-bubble solutions in the super-critical Bahri-Coron’s problem

    Unknown

  • ultispike solutions for a nonlinearelliptic problem involving critical Sobolev exponent

    Monica Musso;Angela Pistoia

  • Large energy entire solutions for the yamabe equation

    Manuel del Pino;Monica Musso;Frank Pacard;Frank Pacard;Angela Pistoia

  • Torus action on S^n and sign changing solutions for conformally invariant equations

    Manuel del Pino;Monica Musso;Frank Pacard;Angela Pistoia

  • Gluing Methods for Vortex Dynamics in Euler Flows

    Juan Davila;Juan Davila;Manuel Del Pino;Manuel Del Pino;Monica Musso;Juncheng Wei

  • Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent

    Pierpaolo Esposito;Monica Musso;Monica Musso;Angela Pistoia

  • "Bubble-tower" radial solutions in the slightly supercritical Brezis–Nirenberg problem

    Manuel Del Pino;Jean Dolbeault;Monica Musso

  • Erratum: "Two-bubble solutions in the super-critical Bahri-Coron's problem" [Calc. Var. Partial Differential Equations 16 (2003), no. 2, 113--145; MR1956850]

    M. Del Pino;P. Felmer;Monica Musso

  • Multi-Peak Solutions for Super-Critical Elliptic Problems in Domains with Small Holes

    Manuel del Pino;Manuel del Pino;Patricio Felmer;Patricio Felmer;Monica Musso;Monica Musso

  • Super-critical boundary bubbling in a semilinear Neumann problem

    Manuel del Pino;Monica Musso;Angela Pistoia

  • Tower of bubbles for almost critical problems in general domains

    Monica Musso;Angela Pistoia

  • Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation.

    Monica Musso;Frank Pacard;Juncheng Wei

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

    Carmen Cortázar;Manuel del Pino;Monica Musso

  • THE BREZIS-NIRENBERG PROBLEM NEAR CRITICALITY IN DIMENSION 3 ?

    Manuel Del Pino;Jean Dolbeault;Monica Musso

  • Multi-Bubble Solutions for Slightly Super-Critical Elliptic Problems in Domains with Symmetries

    Manuel Del Pino;Patricio Felmer;Monica Musso

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

    Manuel del Pino;Monica Musso;Juncheng Wei

  • Bubbling along boundary geodesics near the second critical exponent

    Manuel del Pino;Monica Musso;Frank Pacard

  • Fast and slow decay solutions for supercritical elliptic problems in exterior domains

    Juan Dávila;Manuel del Pino;Monica Musso;Monica Musso;Juncheng Wei

  • Sign-changing blowing-up solutions for supercritical Bahri–Coron’s problem

    Monica Musso;Juncheng Wei

  • Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains

    Yuxin Ge;Monica Musso;Angela Pistoia

Frequent Co-Authors

Manuel del Pino
Manuel del Pino University of Bath
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Frank Pacard
Frank Pacard École Polytechnique
Juan Dávila
Juan Dávila University of Bath
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Patricio Felmer
Patricio Felmer University of Chile

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