PU(2) monopoles. I. Regularity, Uhlenbeck compactness, and transversality PMN Feehan, TG Leness Journal of Differential Geometry 49 (2), 265-410, 1998 | 76 | 1998 |
PU (2) monopoles. II: Top-level Seiberg-Witten moduli spaces and Witten's conjecture in low degrees PMN Feehan, TG Leness Journal fur die Reine und Angewandte Mathematik 538, 135-212., 2001 | 44* | 2001 |
Łojasiewicz–Simon gradient inequalities for analytic and Morse–Bott functions on Banach spaces PMN Feehan, M Maridakis Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 (765 …, 2020 | 42* | 2020 |
Global existence and convergence of solutions to gradient systems and applications to Yang-Mills gradient flow P Feehan arXiv preprint arXiv:1409.1525, 2014 | 41* | 2014 |
An SO (3)-monopole cobordism formula relating Donaldson and Seiberg–Witten invariants P Feehan, T Leness American Mathematical Society 256 (1226), 2018 | 40* | 2018 |
A Schauder approach to degenerate-parabolic partial differential equations with unbounded coefficients PMN Feehan, CA Pop Journal of Differential Equations 254 (12), 4401-4445, 2013 | 40 | 2013 |
PU (2) monopoles and relations between four-manifold invariants PMN Feehan, TG Leness Topology and its Applications 88 (1-2), 111-145, 1998 | 37 | 1998 |
Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations PMN Feehan, CA Pop Journal of Differential Equations 256 (3), 895-956, 2014 | 34 | 2014 |
Witten's conjecture for many four-manifolds of simple type PMN Feehan, TG Leness Journal of the European Mathematical Society 17 (4), 899-923, 2015 | 33* | 2015 |
Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds S Kolodziej, NC Nguyen, PM Feehan, J Song, B Weinkove, RA Wentworth Analysis, complex geometry, and mathematical physics: in honor of Duong H …, 2015 | 32 | 2015 |
Generic metrics, irreducible rank-one PU (2) monopoles, and transversality PMN Feehan Communications in Analysis and Geometry 8 (5), 905-967, 1998 | 32 | 1998 |
Higher-order regularity for solutions to degenerate elliptic variational equations in mathematical finance PMN Feehan, CA Pop Adv. Differential Equations 20 (3/4), 361-432, 2015 | 31* | 2015 |
regularity for degenerate elliptic obstacle problems P Daskalopoulos, P Feehan JOURNAL OF DIFFERENTIAL EQUATIONS 260 (1), 5043-5074, 2016 | 29* | 2016 |
SO (3) monopoles, level-one Seiberg–Witten moduli spaces, and Witten's conjecture in low degrees PMN Feehan, TG Leness Topology and its Applications 124 (2), 221-326, 2002 | 29 | 2002 |
Donaldson invariants and wall-crossing formulas. I: Continuity of gluing and obstruction maps, submitted to a print journal PMN Feehan, TG Leness arXiv preprint arXiv:math/9812060, 1998 | 29* | 1998 |
Geometry of the ends of the moduli space of anti-self-dual connections PMN Feehan Journal of Differential Geometry 42 (3), 465-553, 1995 | 26 | 1995 |
PU (2) monopoles and links of top-level Seiberg-Witten moduli spaces PMN Feehan, TG Leness Journal fur die Reine und Angewandte Mathematik 538, 57-13, 2001 | 23 | 2001 |
PU (2) monopoles and a conjecture of Marino, Moore, and Peradze PMN Feehan, PB Kronheimer, TG Leness, TS Mrowka Mathematical Research Letters 6 (2), 169-182, 1999 | 23 | 1999 |
Degenerate elliptic operators in mathematical finance and Holder continuity for solutions to variational equations and inequalities PMN Feehan, CA Pop arXiv preprint arXiv:1110.5594, 2011 | 22* | 2011 |
Existence, uniqueness, and global regularity for degenerate elliptic obstacle problems in mathematical finance P Daskalopoulos, PMN Feehan arXiv preprint arXiv:1109.1075, 2011 | 22* | 2011 |