Convergence to the grim reaper for a curvature flow with unbounded boundary slopes Bendong LouXiaoliu WangLixia Yuan OriginalPaper 17 July 2021 Article: 159
On global solutions to a viscous compressible two-fluid model with unconstrained transition to single-phase flow in three dimensions Huanyao Wen OriginalPaper 14 July 2021 Article: 158
A Talenti-type comparison theorem for \({{\,\mathrm{RCD}\,}}(K,N)\) spaces and applications Andrea MondinoMattia Vedovato OriginalPaper Open access 14 July 2021 Article: 157
Hölder regularity for porous medium systems Naian Liao OriginalPaper Open access 14 July 2021 Article: 156
Excited states of Bose–Einstein condensates with degenerate attractive interactions Peng LuoShuangjie PengShusen Yan OriginalPaper 10 July 2021 Article: 155
Correction to: Existence, iteration procedures and directional differentiability for parabolic QVIs Amal AlphonseMichael HintermüllerCarlos N. Rautenberg Correction 10 July 2021 Article: 154
Nonlocal semilinear elliptic problems with singular nonlinearity Ahmed YoussfiGhoulam Ould Mohamed Mahmoud OriginalPaper 02 July 2021 Article: 153
Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in \({\mathbb {R}}^2\) Yuzhen KongQingxuan WangDun Zhao OriginalPaper 02 July 2021 Article: 152
Some conformally invariant gap theorems for Bach-flat 4-manifolds Siyi Zhang OriginalPaper 02 July 2021 Article: 151
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy Peter LewintanStefan MüllerPatrizio Neff OriginalPaper Open access 02 July 2021 Article: 150
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling Annika BachMarco CicaleseGianluca Orlando OriginalPaper Open access 02 July 2021 Article: 149
The Nirenberg problem on high dimensional half spheres: the effect of pinching conditions Mohameden AhmedouMohamed Ben Ayed OriginalPaper Open access 02 July 2021 Article: 148
Embedding surfaces inside small domains with minimal distortion Asaf Shachar OriginalPaper 02 July 2021 Article: 147
Energy identity and necklessness for \(\alpha \)-Dirac-harmonic maps into a sphere Jiayu LiLei LiuMiaomiao Zhu OriginalPaper 02 July 2021 Article: 146
End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains Karthik AdimurthiSun-Sig ByunJung-Tae Park OriginalPaper 02 July 2021 Article: 145
Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations Yanheng DingXiaojing DongQi Guo OriginalPaper 01 July 2021 Article: 144
To what extent is cross-diffusion controllable in a two-dimensional chemotaxis-(Navier–)Stokes system modeling coral fertilization Wei WangMinghua ZhangSining Zheng OriginalPaper 30 June 2021 Article: 143
Sharp interface limit of a multi-phase transitions model under nonisothermal conditions Riccardo CristoferiGiovanni Gravina OriginalPaper Open access 30 June 2021 Article: 142
Superharmonicity of curvature function for the convex level sets of harmonic functions Xi-Nan MaWei Zhang OriginalPaper 30 June 2021 Article: 141
The fractional p-Laplacian evolution equation in \({\mathbb {R}}^N\) in the sublinear case Juan Luis Vázquez OriginalPaper 30 June 2021 Article: 140
Optimization of the principal eigenvalue for elliptic operators Hongwei LouJiongmin Yong OriginalPaper 29 June 2021 Article: 139
Conservation laws for even order systems of polyharmonic map type Frédéric Louis de LonguevilleAndreas Gastel OriginalPaper Open access 29 June 2021 Article: 138
Isolated singularities for the n-Liouville equation Pierpaolo Esposito OriginalPaper Open access 29 June 2021 Article: 137
On nonlocal minimal graphs Matteo CozziLuca Lombardini OriginalPaper Open access 29 June 2021 Article: 136
Riesz transforms of a general Ornstein–Uhlenbeck semigroup Valentina CasarinoPaolo CiattiPeter Sjögren OriginalPaper Open access 29 June 2021 Article: 135
Minimal hypersurfaces in the product of two spheres with index one Hang Chen OriginalPaper 29 June 2021 Article: 134
Dual variational methods for a nonlinear Helmholtz equation with sign-changing nonlinearity Rainer MandelDominic ScheiderTolga Yeşil OriginalPaper Open access 29 June 2021 Article: 133
On Minimizing extrinsic biharmonic maps Ali FardounLara Saliba OriginalPaper 29 June 2021 Article: 132
Boundary expansions of complete conformal metrics with negative Ricci curvatures Yue Wang OriginalPaper 29 June 2021 Article: 131
Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector Ruofei YaoHongbin ChenChangfeng Gui OriginalPaper 29 June 2021 Article: 130
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail Haïm BrezisJean Van SchaftingenPo-Lam Yung OriginalPaper 29 June 2021 Article: 129
Compact Sobolev embeddings on non-compact manifolds via orbit expansions of isometry groups Csaba FarkasAlexandru KristályÁgnes Mester OriginalPaper Open access 25 June 2021 Article: 128
Dynamics of nearly parallel vortex filaments for the Gross–Pitaevskii equation R. L. JerrardD. Smets OriginalPaper 25 June 2021 Article: 127
On the Morse index of branched Willmore spheres in 3-space Alexis Michelat OriginalPaper Open access 25 June 2021 Article: 126
Conservation laws for even order elliptic systems in the critical dimension - a new approach Jasmin HörterTobias Lamm OriginalPaper Open access 25 June 2021 Article: 125
Almost minimizers for the thin obstacle problem Seongmin JeonArshak Petrosyan OriginalPaper 25 June 2021 Article: 124
Non-polynomial entire solutions to Hessian equations Caiyan Li OriginalPaper 25 June 2021 Article: 123
A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions Piero MontecchiariPaul H. Rabinowitz OriginalPaper 25 June 2021 Article: 122