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个人简介
My research is focused on the theory of Sobolev spaces with applications to various areas like the theory of quasiconformal mappings, calculus of variations, regularity of nonlinear elliptic PDEs, and Carnot-Caratheodory spaces. I am particularly interested in analysis on metric spaces including the theory of Sobolev spaces on metric spaces. Recently I am working in the theory of Sobolev mappings between manifolds and metric spaces. This includes questions about density of smooth and Lipschitz mappings with connection topology of spaces and also regularity theory for p-harmonic mappings between manifolds.
研究兴趣
论文共 104 篇作者统计合作学者相似作者
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arxiv(2024)
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Inventiones mathematicaepp.1-28, (2024)
arxiv(2024)
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arxiv(2023)
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ANNALES FENNICI MATHEMATICIno. 1 (2023): 255-275
CMS Books in MathematicsConvex Analysis and Monotone Operator Theory in Hilbert Spacesno. 33 (2023): 382-397
arXiv (Cornell University) (2023)
arXiv (Cornell University) (2023)
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作者统计
#Papers: 104
#Citation: 2459
H-Index: 24
G-Index: 47
Sociability: 4
Diversity: 3
Activity: 10
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