Dušan Repovš

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Dušan D. Repovš
Born (1954-11-30) November 30, 1954 (age 69)
Ljubljana, Yugoslavia
NationalitySlovenian
Alma materFlorida State University
University of Ljubljana
Scientific career
FieldsMathematics
InstitutionsUniversity of Ljubljana
ThesisGeneralized Three-Manifolds with Zero-Dimensional Singular Set (1983)
Doctoral advisorRobert Christopher Lacher
Websiterepovs.fmf.uni-lj.si

Dušan D. Repovš (born November 30, 1954) is a Slovenian mathematician from Ljubljana, Slovenia.

He graduated in 1977 from the

PhD in 1983 from Florida State University with thesis Generalized Three-Manifolds with Zero-Dimensional Singular Set written under the direction of Robert Christopher Lacher.[1] He held a fellowship from the Research Council of Slovenia and a Fulbright scholarship
.

In 1993 he was promoted to Professor of Geometry and Topology at the University of Ljubljana, where he is employed at the Faculty of Mathematics and Physics and at the Faculty of Education, as the Head of the Chair for Geometry and Topology. Since 1983 he has been the leader of the Slovenian Nonlinear Analysis, Topology and Geometry Group at the Institute of Mathematics, Physics and Mechanics in Ljubljana, and has directed numerous national and international research grants (with the United States, Japan, Russian Federation, China, France, Italy, Spain, Israel, United Kingdom, Poland, Hungary, Romania, Slovakia, and others). The Slovenian Research Agency has selected this group among the best research program groups in Slovenia.

Repovš is the leading Slovenian expert on nonlinear analysis and topology and is one of the best known Slovenian mathematicians. He has published over 450 research papers and has given numerous invited talks at various international conferences and universities around the world.

His research interests are in

partial differential equations
. He covers a very broad spectrum: problems with nonstandard growth (variable exponents, anisotropic problems, double-phase problems), qualitative analysis of solutions of semilinear and quasilinear PDEs (Dirichlet, Neumann, Robin boundary conditions), singular and degenerate problems (blow-up boundary, singular reactions), inequality problems (variational, hemivariational, both either stationary or evolutionary). His analysis of these problems combines fine methods at the interplay between nonlinear functional analysis, critical point theory, variational, topological and analytic methods, mathematical physics, and others.

He has published a monograph on nonlinear analysis,[7] a monograph on partial differential equations with variable exponents,[8] a monograph on continuous selections of multivalued mappings,[9][10] and a monograph on higher-dimensional generalized manifolds,[11] as well as also a university textbook on topology.[12] He is serving on the editorial boards of the Journal of Mathematical Analysis and Applications, Advances in Nonlinear Analysis, Boundary Value Problems, Complex Variables and Elliptic Equations, and others.

For his outstanding research he was awarded in 2014 the honorary doctorate by the

French Mathematical Society, the Swiss Mathematical Society, and others. He is also a founding member of the Slovenian Engineering Academy.[14]

Notes

  1. ^ Dušan Repovš at the Mathematics Genealogy Project
  2. S2CID 124505286
  3. MR 0891164
  4. ^ D. Repovš and E. V. Ščepin, A proof of the Hilbert-Smith conjecture for actions by Lipschitz maps, Math. Ann. 308:2 (1997), 361-364, MR1464908.
  5. ^ N. S. Papageorgiou, V. D. Radulescu and D. D. Repovš, Nonlinear Analysis – Theory and Methods, Springer, Cham 2019, MR3890060.
  6. ^ V. D. Rădulescu and D. D. Repovš, Partial Differential Equations with Variable Exponents, Chapman and Hall/CRC, Taylor & Francis Group, Boca Raton, FL, 2015, MR3379920.
  7. ^ Nonlinear Analysis - Theory and Methods | SpringerLink.
  8. ^ "Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis".
  9. ^ D. Repovš and P. V. Semenov, Continuous Selections of Multivalued Mappings, Kluwer Academic Publishers, Dordrecht 1998, MR1659914.
  10. ^ Continuous Selections of Multivalued Mappings &#124. Springer.
  11. MR3558558
    .
  12. ^ M. Cencelj and D. Repovš, Topology (in Slovenian), Faculty of Education, University of Ljubljana, 2001.
  13. ^ "🎓 Universitatea din Craiova".
  14. ^ "Slovenian Engineering Academy". Retrieved 2020-02-10.
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