Edit Profile (opens in new tab) Karpukhin, Mikhail A. Co-Author Distance Author ID: karpukhin.mikhail-a Published as: Karpukhin, Mikhail; Karpukhin, Mikhail A.; Karpukhin, M. A. more...less Documents Indexed: 29 Publications since 2013, including 5 Additional arXiv Preprints Co-Authors: 18 Co-Authors with 18 Joint Publications 412 Co-Co-Authors all top 5 Co-Authors 10 single-authored 7 Polterovich, Iosif 5 Stern, Daniel L. 3 Lagacé, Jean 2 Girouard, Alexandre 2 Métras, Antoine 2 Nadirashvili, Nikolai S. 2 Penskoi, Alexei V. 1 Cianci, Donato 1 Cox, Graham 1 Jakobson, Dmitry 1 Kokarev, Gerasim 1 Kusner, Robert B. 1 Levitin, Michael R. 1 McGrath, Peter J. 1 Nahon, Mickaël 1 Sire, Yannick 1 Vinokurov, Denis 1 Zhu, Xuwen all top 5 Serials 3 Journal of Spectral Theory 2 Inventiones Mathematicae 2 Geometric and Functional Analysis. GAFA 1 Archive for Rational Mechanics and Analysis 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Sbornik: Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Electronic Research Announcements in Mathematical Sciences 1 Annales Mathématiques du Québec Fields 23 Global analysis, analysis on manifolds (58-XX) 13 Differential geometry (53-XX) 7 Partial differential equations (35-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 206 times in 89 Documents Cited by ▼ Year ▼ An isoperimetric inequality for Laplace eigenvalues on the sphere. Zbl 1471.53056 Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif 26 2021 Index of minimal spheres and isoperimetric eigenvalue inequalities. Zbl 1503.53122 Karpukhin, Mikhail 25 2021 Bounds between Laplace and Steklov eigenvalues on nonnegatively curved manifolds. Zbl 1404.35305 Karpukhin, Mikhail 18 2017 Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305 Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean 17 2021 On branched minimal immersions of surfaces by first eigenfunctions. Zbl 1427.53080 Cianci, Donato; Karpukhin, Mikhail; Medvedev, Vladimir 16 2019 Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. (Bornes pour les multiplicités des valeurs propres de Steklov sur les surfaces riemanniennes.) Zbl 1321.58027 Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif 15 2014 Upper bounds for the first eigenvalue of the Laplacian on non-orientable surfaces. Zbl 1404.58045 Karpukhin, Mikhail A. 14 2016 On the Yang-Yau inequality for the first Laplace eigenvalue. Zbl 1429.58040 Karpukhin, Mikhail 11 2019 Spectral properties of a family of minimal tori of revolution in five-dimensional sphere. Zbl 1318.58017 Karpukhin, Mikhail 10 2015 Nonmaximality of known extremal metrics on torus and Klein bottle. Zbl 1290.58008 Karpukhin, M. A. 9 2013 Conformally maximal metrics for Laplace eigenvalues on surfaces. Zbl 07817747 Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif 9 2022 Spectral properties of bipolar surfaces to Otsuki tori. Zbl 1291.58005 Karpukhin, Mikhail A. 8 2014 The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. Zbl 1492.58016 Girouard, Alexandre; Karpukhin, Mikhail; Levitin, Michael; Polterovich, Iosif 8 2022 Laplace and Steklov extremal metrics via \(n\)-harmonic maps. Zbl 1485.58010 Karpukhin, Mikhail; Métras, Antoine 5 2022 The first eigenvalue of the Laplacian on orientable surfaces. Zbl 1491.58012 Karpukhin, Mikhail; Vinokurov, Denis 5 2022 The Steklov problem on differential forms. Zbl 1415.58020 Karpukhin, Mikhail A. 4 2019 Weyl’s law for the Steklov problem on surfaces with rough boundary. Zbl 1521.35124 Karpukhin, Mikhail; Lagacé, Jean; Polterovich, Iosif 3 2023 From Steklov to Laplace: free boundary minimal surfaces with many boundary components. Zbl 07875311 Karpukhin, Mikhail; Stern, Daniel 1 2024 On the Friedlander-Nadirashvili invariants of surfaces. Zbl 1465.58007 Karpukhin, Mikhail; Medvedev, Vladimir 1 2021 Min-max harmonic maps and a new characterization of conformal eigenvalues. Zbl 07927730 Karpukhin, Mikhail; Stern, Daniel 1 2024 From Steklov to Laplace: free boundary minimal surfaces with many boundary components. Zbl 07875311 Karpukhin, Mikhail; Stern, Daniel 1 2024 Min-max harmonic maps and a new characterization of conformal eigenvalues. Zbl 07927730 Karpukhin, Mikhail; Stern, Daniel 1 2024 Weyl’s law for the Steklov problem on surfaces with rough boundary. Zbl 1521.35124 Karpukhin, Mikhail; Lagacé, Jean; Polterovich, Iosif 3 2023 Conformally maximal metrics for Laplace eigenvalues on surfaces. Zbl 07817747 Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif 9 2022 The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript. Zbl 1492.58016 Girouard, Alexandre; Karpukhin, Mikhail; Levitin, Michael; Polterovich, Iosif 8 2022 Laplace and Steklov extremal metrics via \(n\)-harmonic maps. Zbl 1485.58010 Karpukhin, Mikhail; Métras, Antoine 5 2022 The first eigenvalue of the Laplacian on orientable surfaces. Zbl 1491.58012 Karpukhin, Mikhail; Vinokurov, Denis 5 2022 An isoperimetric inequality for Laplace eigenvalues on the sphere. Zbl 1471.53056 Karpukhin, Mikhail; Nadirashvili, Nikolai; Penskoi, Alexei V.; Polterovich, Iosif 26 2021 Index of minimal spheres and isoperimetric eigenvalue inequalities. Zbl 1503.53122 Karpukhin, Mikhail 25 2021 Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems. Zbl 1480.35305 Girouard, Alexandre; Karpukhin, Mikhail; Lagacé, Jean 17 2021 On the Friedlander-Nadirashvili invariants of surfaces. Zbl 1465.58007 Karpukhin, Mikhail; Medvedev, Vladimir 1 2021 On branched minimal immersions of surfaces by first eigenfunctions. Zbl 1427.53080 Cianci, Donato; Karpukhin, Mikhail; Medvedev, Vladimir 16 2019 On the Yang-Yau inequality for the first Laplace eigenvalue. Zbl 1429.58040 Karpukhin, Mikhail 11 2019 The Steklov problem on differential forms. Zbl 1415.58020 Karpukhin, Mikhail A. 4 2019 Bounds between Laplace and Steklov eigenvalues on nonnegatively curved manifolds. Zbl 1404.35305 Karpukhin, Mikhail 18 2017 Upper bounds for the first eigenvalue of the Laplacian on non-orientable surfaces. Zbl 1404.58045 Karpukhin, Mikhail A. 14 2016 Spectral properties of a family of minimal tori of revolution in five-dimensional sphere. Zbl 1318.58017 Karpukhin, Mikhail 10 2015 Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. (Bornes pour les multiplicités des valeurs propres de Steklov sur les surfaces riemanniennes.) Zbl 1321.58027 Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif 15 2014 Spectral properties of bipolar surfaces to Otsuki tori. Zbl 1291.58005 Karpukhin, Mikhail A. 8 2014 Nonmaximality of known extremal metrics on torus and Klein bottle. Zbl 1290.58008 Karpukhin, M. A. 9 2013 all cited Publications top 5 cited Publications all top 5 Cited by 92 Authors 16 Karpukhin, Mikhail A. 7 Girouard, Alexandre 6 Polterovich, Iosif 5 Lagacé, Jean 5 Penskoi, Alexei V. 5 Yu, Chengjie 4 Fraser, Ailana 3 Colbois, Bruno 3 Gordon, Carolyn S. 3 Hassannezhad, Asma 3 Laugesen, Richard Snyder 3 Petrides, Romain 3 Schoen, Richard Melvin 3 Sher, David A. 3 Shi, Yongjie 3 Stern, Daniel L. 2 Bonifacio, James 2 Brisson, Jade 2 Kao, Chiu-Yen 2 McGrath, Peter J. 2 Meeks, William Hamilton III 2 Métras, Antoine 2 Nadirashvili, Nikolai S. 2 Osting, Braxton 2 Pérez Muñoz, Joaquín 2 Ros, Antonio 2 Yang, Liangwei 2 Zhu, Xuwen 1 Arias-Marco, Teresa 1 Arroja Neves, André 1 Ball, Adam 1 Causley, Broderick 1 Chaigneau, Adrien 1 Cianci, Donato 1 Colding, Tobias Holck 1 Dryden, Emily B. 1 Fortier Bourque, Maxime 1 Freitas, Pedro 1 Ftouh, Ilias 1 Gabdurakhmanov, Ravil 1 Grebenkov, Denis S. 1 He, Xiang 1 Helffer, Bernard 1 Henrot, Antoine 1 Herbrich, Peter 1 Hillairet, Luc 1 Jammes, Pierre 1 Kim, Hanna N. 1 Kravchuk, Petr 1 Kusner, Rob 1 Kusner, Robert B. 1 Lai, Rongjie 1 Langford, Jeffrey J. 1 Law, Y. T. Albert 1 Levitin, Michael R. 1 Madnick, Jesse 1 Matthiesen, Henrik 1 Mazáč, Dalimil 1 Michetti, Marco 1 Minicozzi, William Philip II 1 Morozov, Egor Aleksandrovich 1 Naber, Aaron C. 1 Narita, Kazumasa 1 Ni, Lei 1 Noisette, Florent 1 Oudet, Edouard 1 Pal, Sridip 1 Pankrashkin, Konstantin 1 Parini, Enea 1 Pérez-Ayala, Samuel 1 Sundqvist, Mikael Persson 1 Petri, Bram 1 Ray, Allie 1 Rozenblum, Grigori V. 1 Saparbaeva, Bayan Talgatovna 1 Saracco, Giorgio 1 Sargent, Pam 1 Siffert, Anna 1 Sire, Yannick 1 Stanhope, Elizabeth 1 Sueur, Franck 1 Toth, John Andrew 1 Vinokurov, Denis 1 Wang, Lihan 1 Webb, David L. 1 Wilking, Burkhard 1 Wong, Gabriel 1 Xie, Zhenxiao 1 Xiong, Changwei 1 Xu, Bin 1 Xu, Hang 1 Zou, Jiahua all top 5 Cited in 49 Serials 8 The Journal of Geometric Analysis 5 Journal of Spectral Theory 4 Inventiones Mathematicae 4 Journal of Functional Analysis 4 Geometric and Functional Analysis. GAFA 3 Canadian Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of High Energy Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Geometry and Physics 2 Journal of Differential Equations 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Oberwolfach Reports 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in Calculus of Variations 1 Annales Mathématiques du Québec 1 Peking Mathematical Journal 1 Communications of the American Mathematical Society all top 5 Cited in 23 Fields 63 Global analysis, analysis on manifolds (58-XX) 47 Partial differential equations (35-XX) 42 Differential geometry (53-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year