Dirichlet problem for Krylov type equation in conformal geometry Xinying LiuWeimin Sheng OriginalPaper 12 February 2024 Article: 59
Least gradient problem with Dirichlet condition imposed on a part of the boundary Wojciech Górny OriginalPaper 12 February 2024 Article: 58
The \(L^p\)-Fisher–Rao metric and Amari–C̆encov \(\alpha \)-Connections Martin BauerAlice Le BrigantCy Maor OriginalPaper Open access 10 February 2024 Article: 56
Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision Antonín ČešíkGiovanni GravinaMalte Kampschulte OriginalPaper 10 February 2024 Article: 55
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps Hugo LavenantLéonard MonsaingeonDmitry Vorotnikov OriginalPaper Open access 10 February 2024 Article: 54
Einstein manifolds and curvature operator of the second kind Zhi-Lin DaiHai-Ping Fu OriginalPaper 09 February 2024 Article: 53
An existence result for the Kazdan–Warner equation with a sign-changing prescribed function Linlin SunJingyong Zhu OriginalPaper 07 February 2024 Article: 52
Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension Hongbing Qiu OriginalPaper 07 February 2024 Article: 51
The well-posedness of incompressible rotational jet flows with gravity Jianfeng ChengZhenlei Pei OriginalPaper 01 February 2024 Article: 50
A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings: generalized solvability and long-time behavior Bin LiLi Xie OriginalPaper 28 January 2024 Article: 49
Isoperimetric inequalities and regularity of A-harmonic functions on surfaces Tomasz AdamowiczGiona Veronelli OriginalPaper Open access 28 January 2024 Article: 48
Cahn–Hillard and Keller–Segel systems as high-friction limits of Euler–Korteweg and Euler–Poisson equations Dennis GallenmüllerPiotr GwiazdaJakub Woźnicki OriginalPaper 28 January 2024 Article: 47
On the Fenchel–Moreau conjugate of G-function and the second derivative of the modular in anisotropic Orlicz spaces Jakub Maksymiuk OriginalPaper 28 January 2024 Article: 46
Block-radial symmetry breaking for ground states of biharmonic NLS Rainer MandelDiogo Oliveira e Silva OriginalPaper Open access 28 January 2024 Article: 45
Degenerate stability of the Caffarelli–Kohn–Nirenberg inequality along the Felli–Schneider curve Rupert L. FrankJonas W. Peteranderl OriginalPaper Open access 28 January 2024 Article: 44
Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion Yang Li OriginalPaper 28 January 2024 Article: 43
Local well-posedness of the 1d compressible Navier–Stokes system with rough data Ke ChenRuilin HuQuoc-Hung Nguyen OriginalPaper 28 January 2024 Article: 42
Linear and nonlinear analysis of the viscous Rayleigh–Taylor system with Navier-slip boundary conditions Tiến-Tài Nguyễn OriginalPaper 28 January 2024 Article: 41
Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory Blair DaveyMariana Smit Vega Garcia OriginalPaper Open access 28 January 2024 Article: 40
A rigorous justification of the Mittleman’s approach to the Dirac–Fock model Long Meng OriginalPaper 28 January 2024 Article: 39
Deformation of discrete conformal structures on surfaces Xu Xu OriginalPaper 28 January 2024 Article: 38
An alternative proof for small energy implies regularity for radially symmetric \((1+2)\)-dimensional wave maps Ning-An LaiYi Zhou OriginalPaper 23 January 2024 Article: 37
Regularity of the \(p-\)Bergman kernel Bo-Yong ChenYuanpu Xiong OriginalPaper 22 January 2024 Article: 36
Absence and presence of Lavrentiev’s phenomenon for double phase functionals upon every choice of exponents Michał BorowskiIwona ChlebickaBłażej Miasojedow OriginalPaper 18 January 2024 Article: 35
Vortex sheet solutions for the Ginzburg–Landau system in cylinders: symmetry and global minimality Radu IgnatMircea Rus OriginalPaper 17 January 2024 Article: 34
An obstacle problem arising from American options pricing: regularity of solutions Henrique BorrinDiego Marcon OriginalPaper 12 January 2024 Article: 33
New homogenization results for convex integral functionals and their Euler–Lagrange equations Matthias RufMathias Schäffner OriginalPaper Open access 12 January 2024 Article: 32
Bourgain-Brezis-Mironescu formula for \(W^{s,p}_q\)-spaces in arbitrary domains Kaushik Mohanta OriginalPaper Open access 09 January 2024 Article: 31
Existence of blowup solutions to the semilinear heat equation with double power nonlinearity Junichi Harada OriginalPaper 09 January 2024 Article: 30
Interactions in the Lorentz force equation Cristian Bereanu OriginalPaper 08 January 2024 Article: 29
Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions Paz HashashArkady Poliakovsky OriginalPaper 06 January 2024 Article: 28
Global gradient estimates for the mixed local and nonlocal problems with measurable nonlinearities Sun-Sig ByunDeepak KumarHo-Sik Lee OriginalPaper 06 January 2024 Article: 27