An end-to-end gluing construction for surfaces of constant mean curvature JL Ratzkin University of Washington, 2001 | 26 | 2001 |

Interpolating between torsional rigidity and principal frequency T Carroll, J Ratzkin Journal of Mathematical Analysis and Applications 379 (2), 818-826, 2011 | 22 | 2011 |

A capture problem in Brownian motion and eigenvalues of spherical domains J Ratzkin, A Treibergs Transactions of the American Mathematical Society 361 (1), 391-405, 2009 | 17 | 2009 |

On the nondegeneracy of constant mean curvature surfaces N Korevaar, R Kusner, J Ratzkin Geometric & Functional Analysis GAFA 16 (4), 891-923, 2006 | 15 | 2006 |

Two isoperimetric inequalities for the Sobolev constant T Carroll, J Ratzkin Zeitschrift für angewandte Mathematik und Physik 63 (5), 855-863, 2012 | 10 | 2012 |

On constant Q-curvature metrics with isolated singularities J Ratzkin arXiv preprint arXiv:2001.07984, 2020 | 9 | 2020 |

Isoperimetric inequalities and variations on Schwarz's lemma T Carroll, J Ratzkin arXiv preprint arXiv:1006.2310, 2010 | 9 | 2010 |

An end to end gluing construction for metrics of constant positive scalar curvature J Ratzkin Indiana University mathematics journal, 703-726, 2003 | 9 | 2003 |

Eigenvalues of Euclidean wedge domains in higher dimensions J Ratzkin Calculus of Variations and Partial Differential Equations 42, 93-106, 2011 | 8 | 2011 |

Coplanar k-unduloids are nondegenerate K Große-Brauckmann, NJ Korevaar, RB Kusner, J Ratzkin, JM Sullivan International Mathematics Research Notices 2009 (18), 3391-3416, 2009 | 8 | 2009 |

A Payne-Weinberger eigenvalue estimate for wedge domains on spheres J Ratzkin, A Treibergs Proceedings of the American Mathematical Society 137 (7), 2299-2309, 2009 | 6 | 2009 |

On a fourth order conformal invariant J Ratzkin arXiv preprint arXiv:2002.05939, 2020 | 4 | 2020 |

Foliation of an asymptotically flat end by critical capacitors MM Fall, IA Minlend, J Ratzkin The Journal of Geometric Analysis 32, 1-32, 2022 | 3 | 2022 |

A reverse Hölder inequality for extremal Sobolev functions T Carroll, J Ratzkin Potential Analysis 42, 283-292, 2015 | 3 | 2015 |

On the rate of change of the sharp constant in the Sobolev–Poincaré inequality T Carroll, MM Fall, J Ratzkin Mathematische Nachrichten 290 (14-15), 2185-2197, 2017 | 2 | 2017 |

Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of non-positive curvature T Carroll, J Ratzkin Indiana University Mathematics Journal, 353-376, 2016 | 2 | 2016 |

A numerical investigation of level sets of extremal Sobolev functions S Juhnke, J Ratzkin Involve, a Journal of Mathematics 8 (5), 787-799, 2015 | 2 | 2015 |

An isoperimetric inequality for extremal Sobolev functions T Carroll, J Ratzkin arXiv preprint arXiv:1208.1352, 2012 | 2 | 2012 |

A survey of the classical theory of constant mean curvature surfaces in R 3 N Korevaar, J Ratkin, N Smale, A Treibergs | 2 | 2002 |

Quantitative stability of the total -curvature near minimizing metrics JH Andrade, T König, J Ratzkin, J Wei arXiv preprint arXiv:2407.06934, 2024 | | 2024 |