Issue 1

- On the homothety conjecture by Elisabeth M. Werner, and Deping Ye
- Quasianalytic contractions and function algebras by and Laszlo Kerchy
- Convergence of perturbed Allen-Cahn equations to forced mean curvature flow by Luca Mugnai, and Matthias Roeger
- Area implies coarea by and Valentino Magnani
- A constant rank theorem for quasiconcave solutions of fully nonlinear partial differential equations by Baojun Bian, Pengfei Guan, Xinan Ma, and Lu Xu
- Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications by Alberto Farina, and Enrico Valdinoci
- Radial functions and maximal operators of Schroedinger type by and Per Sjoelin
- Boundary problem for Levi flat graphs by Giuseppe Tomassini, Pierre Dolbeault, and Dmitri Zaitsev
- Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies by Roberto Alicandro, Marco Cicalese, and Marcello Ponsiglione
- Stationary sign changing solutions for an inhomogeneous nonlocal problem by Carmen Cortazar, Manuel Elgueta, Jorge Garcia-Melian, and Salome Martinez
- Boundedness of smooth bilinear square functions and applications to some bilinear pseudo-differential operators by Frederic Bernicot, and Saurabh Shrivastava
- Stable ranks for the real function algebra $C(X,\tau)$ by Raymond Mortini, and Rudolf Rupp
- Rectifiable curves in Sierpinski carpets by Estibalitz Durand-Cartagena, and Jeremy T. Tyson
- Parallelopipeds of positive rank twists of elliptic curves by Bo-Hae Im, and Michael Larsen
- Dirac Lie groups, Dirac homogeneous spaces and the theorem of Drinfeld by and Madeleine Jotz

- Singular perturbation models in phase transitions for second-order materials by M. Chermisi, G. Dal Maso, I. Fonseca, and G. Leoni
- Locally unitary groupoid crossed products by and Geoff R Goehle
- Stability of traveling waves for degenerate systems of reaction diffusion equations by Anna Ghazaryan, Yuri Latushkin, and Stephen Schecter
- Weighted multilinear Poincare inequalities for vector fields of Hoermander type by Diego Maldonado, Kabe Moen, and Virginia Naibo
- On a connection between Naimark's dilation theorem, spectral representations, and characteristic functions by and Mishko Mitkovski
- Local well-posedness of a dispersive Navier-Stokes system by C. David Levermore, and Weiran Sun
- Operator subspaces of $\mathcal{L}(H)$ with induced matrix orderings by and Chi-Keung Ng
- Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids by Eduard Feireisl, Antonin Novotny, and Yongzhong Sun
- The location of the hot spot in a grounded convex conductor by Lorenzo Brasco, Rolando Magnanini, and Paolo Salani
- Contact geometry of one-dimensional complex foliations by Giuseppe Tomassini, and Sergio Venturini
- Compressible, inviscid Rayleigh-Taylor instability by Yan Guo, and Ian Tice
- Finsler metrics and the degree of symmetry of a closed manifold by and Shaoqiang Deng

- Defect operators associated with submodules of the Hardy module by Quanlei Fang, and Jingbo Xia
- Remarks on the metric induced by the Robin function by Diganta Borah, and Kaushal Verma
- On fixed points of rational self-maps of complex projective plane by and S. Ivashkovich
- Bellman function technique for multilinear estimates and an application to generalized paraproducts by and Vjekoslav Kovac
- Limit points of commuting squares by and Remus Nicoara
- Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms by Jose Carlos Diaz-Ramos, and Miguel Dominguez-Vazquez
- Spectral Nevanlinna-Pick and Caratheodory-Fejer problems for $n\geq3$ by Nikolai Nikolov, Peter Pflug, and Pascal J. Thomas
- Viscosity solutions for a polymer crystal growth model by Pierre Cardaliaguet, Olivier Ley, and Aurelien Monteillet
- Multifractal spectra of random self-affine multifractal Sierpinski sponges in $\mathbb{R}^d$ by J. Fraser, and L. Olsen
- Klein foams by Antonio F. Costas, Sabir M. Gusein-Zade, and Sergey M. Natanzon
- When is hyponormality for 2-variable weighted shifts invariant under powers? by Raul E. Curto, and Jasang Yoon
- Purely infinite simple $C^*$-algebras associated to integer dilation matrices by Ruy Exel, Astrid an Huef, and Iain Raeburn

- Amalgams of inverse semigroups and $C^*$-algebras by Allan Donsig, Steven P. Haataja, and John C. Meakin
- $L^2$-norm and estimates from below for Riesz transforms on Cantor sets by V. Eiderman, and A. Volberg
- Boundary layer associated with a class of 3D nonlinear plane parallel channel flows by Anna L. Mazzucato, Dongjuan Niu, and Xiaoming Wang
- Mathematical derivation of viscous shallow-water equations with zero surface tension by Didier Bresch, and Pascal Noble
- A description of the logmodular subalgebras in the finite-dimensional $C^*$-algebras by and Kate Juschenko
- A new class of frequently hypercyclic operators by and Sophie Grivaux
- Unique continuation for the Schroedinger equation with potentials in Wiener amalgam spaces by and Ihyeok Seo
- A viscosity solution method for the spreading speed formula in slowly varying media by Francois Hamel, Gregoire Nadin, and Lionel Roques
- Isomorphisms of tensor algebras of topological graphs by Kenneth Davidson, and Jean Roydor
- Horizontal Gauss curvature flow of graphs in Carnot groups by and Erin Haller Martin
- The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces by Sneh Lata, and Vern I. Paulsen
- Capacities associated with scalar signed Riesz kernels, and analytic capacity by Joan Mateu, Laura Prat, and Joan Verdera
- Equivalent conditions for hyperbolicity on partially hyperbolic holomorphic map by and Francisco Valenzuela-Henriquez

- Majorization and arithmetic mean ideals by Victor Kaftal, and Gary Weiss
- Prolongation on contact manifolds by Michael Eastwood, and A. Rod Gover
- Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$ by and Vedran Sohinger
- Prescribed curvature flow on surfaces by and Pak Tung Ho
- Sharp estimates for the commutators of the Hilbert, Riesz transforms and the Beurling-Ahlfors operator on weighted Lebesgue spaces by and Daewon Chung
- Automorphisms of rational surfaces with positive entropy by Julie Deserti, and Julien Grivaux
- Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations by Chun-Hsiung Hsia, Chang-Shou Lin, and Zhi-Qiang Wang
- $GL(n)$ equivariant Minkowski valuations by and Thomas Wannerer
- Curvatures on the Teichmueller curve by Ren Guo, Subhojoy Gupta, and Zheng Huang
- New uniform bounds for a Walsh model of the bilinear Hilbert transform by Richard Oberlin, and Christoph Thiele
- The $\mathcal C^{2,\alpha}$ estimate of complex Monge-Ampere equation by Slawomir Dinew, Xi Zhang, and XiangWen Zhang
- Hamiltonians with Riesz bases of generalised eigenvectors and Riccati equations by and Christian Wyss
- Chebyshev constants and transfinite diameter on algebraic curves in $\mathbb{C}^2$ by and S. Ma'u
- Limit chains on the Sierpinski gasket by and Michael Hinz

- A refined Agler decomposition and geometric applications by and Greg Knese
- On the second inner variation of the Allen-Cahn functional and its applications by and Nam Q. Le
- Level sets of the Takagi function: generic level sets by Zachary Maddock, and Jeffrey C Lagarias
- Some remarks on weighted logarithmic Sobolev inequality by Patrick Cattiaux, Arnaud Guillin, and Li-Ming Wu
- $PSL(2,\mathbb{Z})$ as a non-distorted subgroup of Thompson's group T by and Ariadna Fossas
- J-holomorphic discs attached to maximal real submanifold by and Uros Kuzman
- On the modulus of continuity of weakly differentiable functions by Andrea Cianchi, and Monia Randolfi
- Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant by Joachim Escher, Mattieu Hillairet, Philippe Laurencot, and Cristoph Walker
- Convergence of capillary fluid models: from the non-local to the local Korteweg model by Frederic Charve, and Boris Haspot
- Size of tangencies to non-involutve distributions by Zoltan M. Balogh, Cornel Pintea, and Heiner Rohner
- Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain by Ching-Lung Lin, Gunther Uhlmann, and Jenn-Nan Wang
- Quadratic $A^1$ bounds for commutators of singular integrals with BMO functions by and Carmen Ortiz-Caraballo