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Dušan D. Repovš (born November 30, 1954) is a Slovenian mathematician from Ljubljana, Slovenia.
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 nonlinear analysis and its applications, topology, and algebra. He first became known in the 1980s for his results in geometric topology, notably the solution of the classical recognition problem for 3-manifolds,[1] the proof of the 4-dimensional Cellularity Criterion,[2] and the proof of the Lipschitz case of the classical Hilbert–Smith conjecture.[3] Presently he is most actively investigating in nonlinear analysis.[4][5] Later he extended his research to several other areas and is currently most actively investigating problems of 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.
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 nonlinear analysis and its applications, topology, and algebra. He first became known in the 1980s for his results in geometric topology, notably the solution of the classical recognition problem for 3-manifolds,[1] the proof of the 4-dimensional Cellularity Criterion,[2] and the proof of the Lipschitz case of the classical Hilbert–Smith conjecture.[3] Presently he is most actively investigating in nonlinear analysis.[4][5] Later he extended his research to several other areas and is currently most actively investigating problems of 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.
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MATHEMATISCHE NACHRICHTEN (2024)
Fractional Calculus and Applied Analysispp.1-2, (2024)
DEMONSTRATIO MATHEMATICAno. 1 (2024)
Mediterranean Journal of Mathematicsno. 1 (2024): 1-24
ADVANCES IN DIFFERENTIAL EQUATIONSno. 3-4 (2024): 153-178
Boundary Value Problemsno. 1 (2024): 1-19
Fractional Calculus and Applied Analysisno. 2 (2024): 725-756
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