What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Geometry
His primary areas of study are Mathematical analysis, Bounded function, Nonlinear system, Pure mathematics and Schrödinger equation.
His Mathematical analysis research focuses on Domain, Differential equation, Sobolev inequality, Zero and Elliptic curve.
His Domain research integrates issues from Hölder condition, Geometry and Scheme.
His research integrates issues of Degenerate energy levels, Minimal surface and Combinatorics, Conjecture in his study of Bounded function.
The study incorporates disciplines such as Allen–Cahn equation, p-Laplacian, Surface and Degree in addition to Pure mathematics.
His Schrödinger equation research includes elements of Split-step method, Geodetic datum, Dirichlet distribution and Closed geodesic.
His most cited work include:
- Local mountain passes for semilinear elliptic problems in unbounded domains (646 citations)
- Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions☆ (331 citations)
- Semi-classical States for Nonlinear Schrödinger Equations (251 citations)
What are the main themes of his work throughout his whole career to date?
Manuel del Pino focuses on Mathematical analysis, Bounded function, Combinatorics, Mathematical physics and Pure mathematics.
His Mathematical analysis course of study focuses on Nonlinear system and Schrödinger equation and Partial differential equation.
His Bounded function study incorporates themes from Zero, Boundary value problem, Dirichlet boundary condition and Omega.
His research in the fields of Dimension overlaps with other disciplines such as Type.
His Mathematical physics research is multidisciplinary, relying on both Lambda and Ground state.
His studies deal with areas such as Inequality and Euclidean geometry as well as Pure mathematics.
He most often published in these fields:
- Mathematical analysis (67.14%)
- Bounded function (30.99%)
- Combinatorics (26.29%)
What were the highlights of his more recent work (between 2017-2021)?
- Combinatorics (26.29%)
- Mathematical analysis (67.14%)
- Energy (9.39%)
In recent papers he was focusing on the following fields of study:
Manuel del Pino mainly investigates Combinatorics, Mathematical analysis, Energy, Heat equation and Mathematical physics.
In the field of Combinatorics, his study on Dimension overlaps with subjects such as Domain.
His Mathematical analysis research is multidisciplinary, incorporating perspectives in Flow, Curvature and Vorticity.
His work carried out in the field of Heat equation brings together such families of science as Homogeneous space and Sobolev space.
His research in Mathematical physics intersects with topics in Mean curvature, Inviscid flow, Critical exponent and Surface.
His Omega study frequently links to other fields, such as Bounded function.
Between 2017 and 2021, his most popular works were:
- Nonlocal s-minimal surfaces and Lawson cones (39 citations)
- Type II ancient compact solutions to the Yamabe flow (22 citations)
- Type II Blow-up in the 5-dimensional Energy Critical Heat Equation (18 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
His main research concerns Dimension, Domain, Euler flow, Euler's formula and Vortex.
Manuel del Pino has researched Dimension in several fields, including Surface, Energy, Heat equation and Surface of revolution.
Manuel del Pino interconnects Nonlinear parabolic equations, Initial value problem and Five-dimensional space in the investigation of issues within Energy.
The various areas that he examines in his Heat equation study include Critical exponent and Mathematical physics.
Domain is a subfield of Mathematical analysis that Manuel del Pino tackles.
His Combinatorics study combines topics in areas such as Minimal surface, Catenoid, Logarithmic growth and Principal value.
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