Localized non blow-up criterion of the Beale-Kato-Majda type for the 3D Euler equations Dongho ChaeJörg Wolf OriginalPaper 21 April 2021 Pages: 837 - 865
On the degeneration of asymptotically conical Calabi–Yau metrics Tristan C. CollinsBin GuoFreid Tong OriginalPaper 28 June 2021 Pages: 867 - 919
Anisotropic Trudinger–Moser inequalities associated with the exact growth in \({\mathbb {R}}^N\) and its maximizers Yanjun Liu OriginalPaper 28 April 2021 Pages: 921 - 941
Extension with log-canonical measures and an improvement to the plt extension of Demailly–Hacon–Păun Tsz On Mario ChanYoung-Jun Choi OriginalPaper 09 July 2021 Pages: 943 - 997
\(L^p\)-Kato class measures for symmetric Markov processes under heat kernel estimates Kazuhiro KuwaeTakahiro Mori OriginalPaper 05 May 2021 Pages: 999 - 1031
The orbit type stratification of the moduli space of Higgs bundles Yue Fan OriginalPaper 07 August 2021 Pages: 1033 - 1059
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains Antonin MonteilRémy RodiacJean Van Schaftingen OriginalPaper 20 May 2021 Pages: 1061 - 1125
Classifying simply connected wandering domains Anna Miriam BeniniVasiliki EvdoridouGwyneth M. Stallard OriginalPaper Open access 27 August 2021 Pages: 1127 - 1178
Korn and Poincaré-Korn inequalities for functions with a small jump set Filippo CagnettiAntonin ChambolleLucia Scardia OriginalPaper Open access 08 June 2021 Pages: 1179 - 1216
On a converse theorem for \({\mathrm {G}}_2\) over finite fields Baiying LiuQing Zhang OriginalPaper 28 August 2021 Pages: 1217 - 1283
Existence and non-existence for time-dependent mean field games with strong aggregation Marco CirantDaria Ghilli OriginalPaper Open access 08 June 2021 Pages: 1285 - 1318
Decoupling for mixed-homogeneous polynomials in \({\mathbb {R}}^3\) Jianhui LiTongou Yang OriginalPaper 21 September 2021 Pages: 1319 - 1351
Remark on the strong solvability of the Navier–Stokes equations in the weak \(L^n\) space Takahiro OkabeYohei Tsutsui OriginalPaper 23 July 2021 Pages: 1353 - 1390
Super \(J\)-holomorphic curves: construction of the moduli space Enno KeßlerArtan SheshmaniShing-Tung Yau OriginalPaper 23 September 2021 Pages: 1391 - 1449
Perfect fluid flows on \(\mathbb {R}^d\) with growth/decay conditions at infinity R. McOwenP. Topalov OriginalPaper 04 August 2021 Pages: 1451 - 1488
Symmetric finite representability of \(\ell ^p\)-spaces in rearrangement invariant spaces on \((0,\infty )\) Sergey V. Astashkin OriginalPaper 29 September 2021 Pages: 1489 - 1520
Global bifurcation of solitary waves for the Whitham equation Tien TruongErik WahlénMiles H. Wheeler OriginalPaper Open access 07 August 2021 Pages: 1521 - 1565
Non-isomorphic endomorphisms of Fano threefolds Sheng MengDe-Qi ZhangGuolei Zhong OriginalPaper 30 September 2021 Pages: 1567 - 1596
Bounded \(H^\infty \)-calculus for a degenerate elliptic boundary value problem Thorben KrietensteinElmar Schrohe OriginalPaper Open access 17 August 2021 Pages: 1597 - 1646
Congruent numbers, quadratic forms and \(K_2\) Hourong Qin OriginalPaper 01 October 2021 Pages: 1647 - 1686
Fractional convexity Leandro M. Del PezzoAlexander QuaasJulio D. Rossi OriginalPaper 17 August 2021 Pages: 1687 - 1719
A generalized Abhyankar’s conjecture for simple Lie algebras in characteristic p>5 Shusuke OtabeFabio ToniniLei Zhang OriginalPaper 05 October 2021 Pages: 1 - 54
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems Anna Kh. BalciAndrea CianchiVladimir Maz’ya OriginalPaper Open access 26 August 2021 Pages: 1 - 50
Patching over analytic fibers and the local–global principle Vlerë Mehmeti OriginalPaper 11 October 2021 Pages: 1825 - 1904