<h1>Karpukhin, Mikhail</h1>
<h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Karpukhin, Mikhail and Stern, Daniel (2024) <a href="https://authors.library.caltech.edu/records/08vjq-a2708">From Steklov to Laplace: free boundary minimal surfaces with many boundary components</a>; Duke Mathematical Journal; Vol. 173; No. 8; 1557-1629; <a href="https://doi.org/10.1215/00127094-2023-0041">10.1215/00127094-2023-0041</a></li>
<li>Karpukhin, Mikhail and Vinokurov, Denis (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220307-189685000">The first eigenvalue of the Laplacian on orientable surfaces</a>; Mathematische Zeitschrift; Vol. 301; No. 3; 2733-2746; <a href="https://doi.org/10.1007/s00209-022-03009-4">10.1007/s00209-022-03009-4</a></li>
<li>Karpukhin, Mikhail and Zhu, Xuwen (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220707-977745000">Spherical conical metrics and harmonic maps to spheres</a>; Transactions of the American Mathematical Society; Vol. 375; No. 5; 3325-3350; <a href="https://doi.org/10.1090/tran/8578">10.1090/tran/8578</a></li>
<li>Karpukhin, Mikhail and Métras, Antoine (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220301-900033000">Laplace and Steklov Extremal Metrics via n-Harmonic Maps</a>; Journal of Geometric Analysis; Vol. 32; No. 5; Art. No. 154; <a href="https://doi.org/10.1007/s12220-022-00891-6">10.1007/s12220-022-00891-6</a></li>
<li>Girouard, Alexandre and Karpukhin, Mikhail, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220622-620640200">The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript</a>; Journal of Spectral Theory; Vol. 12; No. 1; 195-225; <a href="https://doi.org/10.4171/jst/399">10.4171/jst/399</a></li>
<li>Girouard, Alexandre and Karpukhin, Mikhail, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201123-142739007">Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems</a>; Geometric and Functional Analysis; Vol. 31; No. 3; 513-561; <a href="https://doi.org/10.1007/s00039-021-00573-5">10.1007/s00039-021-00573-5</a></li>
<li>Karpukhin, Mikhail and Medvedev, Vladimir (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201119-140226430">On the Friedlander–Nadirashvili invariants of surfaces</a>; Mathematische Annalen; Vol. 379; No. 3-4; 1767-1805; <a href="https://doi.org/10.1007/s00208-020-02094-2">10.1007/s00208-020-02094-2</a></li>
<li>Cox, Graham and Jakobson, Dmitry, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210821-171517071">Conformal invariants from nodal sets. II. Manifolds with boundary</a>; Journal of Spectral Theory; Vol. 11; No. 2; 387-409; <a href="https://doi.org/10.4171/jst/345">10.4171/jst/345</a></li>
<li>Karpukhin, Mikhail and Stern, Daniel (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201123-143024911">Min-max harmonic maps and a new characterization of conformal eigenvalues</a>; <a href="https://doi.org/10.48550/arXiv.2004.04086">10.48550/arXiv.2004.04086</a></li>
<li>Karpukhin, Mikhail and Nadirashvili, Nikolai, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201123-145639355">Conformally maximal metrics for Laplace eigenvalues on surfaces</a>; <a href="https://doi.org/10.48550/arXiv.2003.02871">10.48550/arXiv.2003.02871</a></li>
</ul>