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Mathematics

D-Index
59
Citations
11118
World Ranking
603
National Ranking
46

Overview

Manuel del Pino is affiliated with the University of Bath in the United Kingdom. Their research predominantly spans the fields of Mathematics and Engineering, with a focus on Applied Mathematics, Mathematical Physics, Computational Mechanics, Geometry and Topology, and Control and Systems Engineering.

The central themes of their scientific work include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Partial Differential Equations
  • Navier-Stokes equation solutions
  • Geometric Analysis and Curvature Flows
  • Fluid Dynamics and Turbulent Flows
  • Geometry and complex manifolds
  • Stability and Controllability of Differential Equations

Frequent publication venues for Manuel del Pino include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Advances in Mathematics
  • Archive for Rational Mechanics and Analysis
  • Radiotherapy and Oncology

Some notable recent papers published by Manuel del Pino or with their involvement are:

  • Geometry driven type II higher dimensional blow-up for the critical heat equation, 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
  • Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation, 2020, arXiv (Cornell University)
  • Long-time asymptotics for evolutionary crystal dislocation models, 2020, Advances in Mathematics

Manuel del Pino has collaborated extensively with several co-authors, including:

  • Monica Musso
  • Juan Dávila
  • Juncheng Wei
  • Marco Badran
  • Shrish Parmeshwar

Best Publications

  • Local mountain passes for semilinear elliptic problems in unbounded domains

    Manuel del Pino;Patricio L. Felmer

  • Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions☆

    Manuel Del Pino;Jean Dolbeault

  • A homotopic deformation along p of a Leray-Schauder degree result and existence for (¦u′¦p − 2u′)′ + ƒ(t, u) = 0, u(0) = u(T) = 0, p > 1

    Manuel del Pino;Manuel Elgueta;Raul Manasevich

  • Multi-peak bound states for nonlinear Schrödinger equations

    Manuel Del Pino;Patricio L. Felmer

  • Semi-classical States for Nonlinear Schrödinger Equations

    Manuel del Pino;Patricio L. Felmer

  • On De Giorgi's conjecture in dimension N>9

    Manuel del Pino;Michał Kowalczyk;Juncheng Wei

  • Singular limits in liouville-type equations

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

  • Concentrating standing waves for the fractional nonlinear Schrödinger equation

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

  • Global bifurcation from the eigenvalues of the p-Laplacian

    Manuel A del Pino;Raúl F Manásevich

  • Semi-classical states of nonlinear Schrödinger equations: a variational reduction method

    Manuel del Pino;Patricio Felmer

  • The optimal Euclidean Lp-Sobolev logarithmic inequality

    Manuel Del Pino;Jean Dolbeault

  • Concentration on curves for nonlinear Schrödinger Equations

    Manuel Del Pino;Michal Kowalczyk;Michal Kowalczyk;Jun-Cheng Wei

  • Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition

    Manuel A. del Pino;Raúl F. Manásevich

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

    Unknown

  • Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.

    Manuel A. del Pino;Raúl F. Manásevich;Alejandro E. Murúa

  • On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems

    Manuel del Pino;Patricio L. Felmer;Juncheng Wei

  • Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

    Juan Dávila;Manuel del Pino;Serena Dipierro;Enrico Valdinoci

  • The Fredholm Alternative at the First Eigenvalue for the One Dimensionalp-Laplacian

    Manuel del Pino;Pavel Drábek;Raul Manásevich

  • Boundary Concentration for Eigenvalue Problems Related to the Onset of Superconductivity

    Manuel del Pino;Patricio L. Felmer;Peter Sternberg

  • T-periodic solutions for some second order differential equations with singularities*

    Manuel del Pino;Raúl Manásevich;Alberto Montero

  • MULTIPLE-END SOLUTIONS TO THE ALLEN-CAHN EQUATION IN R2

    Manuel del Pino;Michał Kowalczyk;Frank Pacard;Juncheng Wei

Frequent Co-Authors

Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Monica Musso
Monica Musso University of Bath
Juan Dávila
Juan Dávila University of Bath
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Frank Pacard
Frank Pacard École Polytechnique
Patricio Felmer
Patricio Felmer University of Chile
Raúl Manásevich
Raúl Manásevich University of Chile
Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Pavel Drábek
Pavel Drábek University of West Bohemia

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