Dušan Repovš

What is he best known for?

The fields of study he is best known for:

• Mathematical analysis
• Topology
• Algebra

The scientist’s investigation covers issues in Mathematical analysis, Operator, Pure mathematics, Combinatorics and Eigenvalues and eigenvectors. His study in the field of Differential operator, Bounded function and Partial differential equation also crosses realms of Parametric statistics and Standing wave. His studies deal with areas such as Variable, Nehari manifold, Compact space and Euler equations as well as Operator.

In his research on the topic of Pure mathematics, Metric space and General topology is strongly related with Algebra. The Combinatorics study combines topics in areas such as Intersection, Manifold, Product and Euclidean geometry. His Eigenvalues and eigenvectors research includes elements of Discontinuity, Spectrum and Laplace operator.

His most cited work include:

• Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis (189 citations)
• Continuous Selections of Multivalued Mappings (181 citations)
• Nonlinear Analysis - Theory and Methods (110 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Pure mathematics, Combinatorics, Mathematical analysis, Discrete mathematics and Manifold. His Pure mathematics study combines topics in areas such as Zero, Space and Algebra. His work carried out in the field of Combinatorics brings together such families of science as Embedding, Codimension and Invariant.

Many of his studies involve connections with topics such as Eigenvalues and eigenvectors and Mathematical analysis. His study on Banach space is mostly dedicated to connecting different topics, such as Selection. Laplace operator combines with fields such as Perturbation and Lambda in his investigation.

He most often published in these fields:

• Pure mathematics (38.99%)
• Combinatorics (29.78%)
• Mathematical analysis (24.73%)

What were the highlights of his more recent work (between 2015-2021)?

• Pure mathematics (38.99%)
• Mathematical analysis (24.73%)
• Laplace operator (6.68%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Pure mathematics, Mathematical analysis, Laplace operator, Eigenvalues and eigenvectors and Zero. Dušan Repovš combines subjects such as Discrete mathematics, Simple and Omega with his study of Pure mathematics. His Operator, Differential operator and Bounded function study in the realm of Mathematical analysis connects with subjects such as Parametric statistics and Term.

His Laplace operator research includes themes of Sublinear function, Combinatorics, Dirichlet distribution and Multiplicity. As part of one scientific family, he deals mainly with the area of Eigenvalues and eigenvectors, narrowing it down to issues related to the Applied mathematics, and often Optimal control and Function. As a part of the same scientific study, Dušan Repovš usually deals with the Zero, concentrating on Sign and frequently concerns with Weight function.

Between 2015 and 2021, his most popular works were:

• Nonlinear Analysis - Theory and Methods (110 citations)
• Double phase problems with variable growth (63 citations)
• Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves (61 citations)

In his most recent research, the most cited papers focused on:

• Mathematical analysis
• Topology
• Pure mathematics

His main research concerns Mathematical analysis, Pure mathematics, Laplace operator, Eigenvalues and eigenvectors and Applied mathematics. Dušan Repovš incorporates Mathematical analysis and Term in his studies. His Pure mathematics research is multidisciplinary, incorporating perspectives in Dirichlet problem, Class and Fractal, Sierpinski triangle.

His studies in Laplace operator integrate themes in fields like Multiplicity and Sublinear function, Combinatorics. His research in Eigenvalues and eigenvectors intersects with topics in Robin boundary condition and p-Laplacian. The concepts of his Applied mathematics study are interwoven with issues in Nonlinear evolution and Distributed parameter system.