What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Hilbert space
His primary areas of study are Mathematical analysis, Bounded function, Pure mathematics, Combinatorics and Elliptic systems.
His study in Mathematical analysis is interdisciplinary in nature, drawing from both Iterative method and Mountain pass theorem.
His Bounded function research includes elements of Dirichlet problem, Domain, Elliptic curve, Type and Elliptic partial differential equation.
His Pure mathematics study combines topics from a wide range of disciplines, such as Infinity, Sign, Algebra and Elliptic function.
His studies deal with areas such as p-Laplacian, Connection and Spectrum as well as Combinatorics.
His Elliptic systems research is multidisciplinary, relying on both Calculus of variations and Biharmonic equation.
His most cited work include:
- A Priori Estimates and Existence of Positive Solutions of Semilinear Elliptic Equations (363 citations)
- On superquadratic elliptic systems (243 citations)
- Elliptic Equations in R2 with Nonlinearities in the Critical Growth Range (243 citations)
What are the main themes of his work throughout his whole career to date?
Djairo G. de Figueiredo mainly investigates Mathematical analysis, Pure mathematics, Bounded function, Elliptic systems and Dirichlet problem.
In his study, Elliptic operator is inextricably linked to Eigenvalues and eigenvectors, which falls within the broad field of Mathematical analysis.
His Pure mathematics research integrates issues from Discrete mathematics, Elliptic function and Type.
His work deals with themes such as Multiplicity results, Dirichlet integral, Domain and Combinatorics, which intersect with Bounded function.
His Combinatorics research includes themes of Domain and p-Laplacian.
Djairo G. de Figueiredo interconnects Applied mathematics and Of the form in the investigation of issues within Elliptic systems.
He most often published in these fields:
- Mathematical analysis (54.55%)
- Pure mathematics (34.34%)
- Bounded function (23.23%)
What were the highlights of his more recent work (between 2005-2020)?
- Mathematical analysis (54.55%)
- Elliptic systems (22.22%)
- Pure mathematics (34.34%)
In recent papers he was focusing on the following fields of study:
His main research concerns Mathematical analysis, Elliptic systems, Pure mathematics, Bounded function and Combinatorics.
His Mathematical analysis study combines topics in areas such as Nehari manifold and Dimension.
His Of the form research extends to Elliptic systems, which is thematically connected.
His Pure mathematics study combines topics in areas such as Dirichlet problem, Fixed point, Annulus and Differential equation.
His Bounded function study incorporates themes from Multiplicity results and Domain.
The concepts of his Combinatorics study are interwoven with issues in Domain and p-Laplacian.
Between 2005 and 2020, his most popular works were:
- Local "superlinearity"and "sublinearity" for the p-Laplacian (82 citations)
- Solitary waves for some nonlinear Schrödinger systems (64 citations)
- Multiplicity results for a family of semilinear elliptic problems under local superlinearity and sublinearity (57 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Hilbert space
The scientist’s investigation covers issues in Mathematical analysis, Multiplicity, Combinatorics, Applied mathematics and Elliptic systems.
The various areas that Djairo G. de Figueiredo examines in his Mathematical analysis study include Symmetric function and Sobolev spaces for planar domains.
His work on Bounded function expands to the thematically related Multiplicity.
He has researched Combinatorics in several fields, including Nonlinear boundary conditions and Dirichlet boundary condition.
His work focuses on many connections between Applied mathematics and other disciplines, such as Elliptic function, that overlap with his field of interest in Elliptic operator.
The study incorporates disciplines such as Monotonic function, Hamiltonian system and Pure mathematics in addition to Elliptic systems.
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