Issue 1

- Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion by Helge Kristian Jenssen, Gregory Lyng, and Mark Williams
- Geometry and stability of bubbles with gravity by Miyuki Koiso, and Bennett Palmer
- Higher regularity in the classical layer potential theory for Lipschitz domains by Vladimir Maz'ya, and Tatyana Shaposhnikova
- Quasiconformal removability and the quasihyperbolic metric by Pekka Koskela, and Tomi Nieminen
- $L^p$-estimates for Riesz transforms on forms in the Poincare space by and Joaquim Bruna
- Weak* continuous characters on dual algebras by Bernard Chevreau, Il Bong Jung, Eungil Ko, and Carl Pearcy
- Stability in $2D$ Ginzburg-Landau passes to the limit by and Sylvia Serfaty
- Normal families and omitted functions by Xuecheng Pang, Degui Yang, and Lawrence Zalcman
- Boundary value problems for Waldenfels operators by Thomas Runst, and Abdellah Youssfi
- A version of the Lomonosov invariant subspace theorem for real Banach spaces by and Gleb Sirotkin
- Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes by Paul Bressler, and Valery A. Lunts

- How small can nonzero commutators be? by Janez Bernik, and Heydar Radjavi
- Non-periodic boundary homogenization and "light" concentrated masses by Gregory A. Chechkin, Maria Eugenia Perez, and Ekaterina I. Yablokova
- Global solution to a quasistationary Penrose-Fife model by Pavel I. Plotnikov, and Pierluigi Colli
- Local solutions for elliptic problems with exponential nonlinearities via finite dimensional reduction by Massimo Grossi, and S. Prashanth
- Holomorphic correspondences between $CR$ manifolds by C. Denson Hill, and Rasul Shafikov
- A positive solution for a nonlinear Schroedinger equation on $R^N$ by Louis Jeanjean, and Kazunaga Tanaka
- Non-convexity of level sets in convex rings for semilinear elliptic problems by Regis Monneau, and Henrik Shahgholian
- Non-tangentially accessible domains for vector fields by Roberto Monti, and Daniele Morbidelli
- Well-posedness for measure transport in a family of nonlocal domain coarsening models by Barbara Niethammer, and Robert L. Pego
- Non-commutative Khintchine type inequalities associated with free groups by Javier Parcet, and Gilles Pisier
- On some restrictions to the values of the Jones polynomial by and Alexander Stoimenow
- A Kolmogorov-Szego-Krein type condition for weighted Sobolev spaces by Jose M. Rodriguez, and Dmitry V. Yakubovich
- A Harnack inequality for Liouville-type equations with singular sources by and Gabriella Tarantello
- On the growth of minimal graphs by and Allen Weitsman

- Maximal functions and the control of weighted inequalities for the fractional integral operator by Carlos Perez, Maria J. Carro, Fernando Soria, and Javier Soria
- Spectral analysis of a self-similar Sturm-Liouville operator by and Christophe Sabot
- Moser-Trudinger inequalities without boundary conditions and isoperimetric problems by and Andrea Cianchi
- Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball by Juncheng Wei, and Matthias Winter
- On the hyperinvariant subspace problem. II by Sami M. Hamid, Constantin Onica, and Carl Pearcy
- $C^*$-Algebras associated with complex dynamical systems by Tsuyoshi Kajiwara, and Yasuo Watatani
- A variational problem for the spatial segregation of reaction-diffusion systems by Monica Conti, Susanna Terracini, and Gianmaria Verzini
- Viscosity solutions for quasilinear degenerate parabolic equations of porous medium type by Juan Luis Vazquez, and Cristina Brandle
- Minimal vectors of positive operators by Razvan Anisca, and Vladimir G. Troitsky
- Representations of group algebras in spaces of completely bounded maps by Roger R. Smith, and Nico Spronk
- On the two dimensional quasi-geostrophic equations by and Ning Ju
- Symmetry-breaking bifurcations for free boundary problems by Andrei Borisovich, and Avner Friedman

- Dissipativity and Gevrey regularity of a Smoluchowski equation by Peter Constantin, Edriss Titi, and Jesenko Vukadinovic
- Bellman function, Littlewood-Paley estimates and asymptotics for the Ahlfors-Beurling operator in $L^p(C)$ by Oliver Dragicevic, and Alexander Volberg
- Lyapunov functionals for the Enskog-Boltzmann equation by and Seung Yeal Ha
- $p$-Harmonic approximation of functions of least gradient by and Petri Juutinen
- Proofs of some classical theorems in minimal surface theory by and William H. Meeks III
- Boundedness of global solutions for a supercritical semilinear heat equation and its application by and Noriko Mizoguchi
- Existence of minimizers for Schrodinger operators under domain perturbations with application to Hardy's inequality by Yehuda Pinchover, and Kyril Tintarev
- Finite curvature of arc length measure implies rectifiability: a new proof by and Xavier Tolsa
- A few remarks on a theorem by J. Rauch by and Franck Sueur
- Mapping cylinders and the Oka principle by and Finnur Larusson
- Hele-Shaw flow on weakly hyperbolic surfaces by Haakan Hedenmalm, and Anders Olofsson
- Propagation of support in one-dimensional convected thin-film flow by Lorenzo Giacomelli, and Andrey Shishkov
- Algebraic isomorphisms and spectra of triangular limit algebras: erratum by Allan Donsig, David R. Pitts, and Stephen C. Power

- Stability of spatially periodic pulse patterns in a class of singularly perturbed reaction-diffusion equations by Arjen Doelman, and Harmen van der Ploeg
- Exact controllability for the three-dimensional Navier-Stokes equations with the Navier slip boundary conditions by Teodor Havarneanu, Catalin Popa, and S. S. Sritharan
- The Universal maximal operator on special classes of functions by Javier Duoandikoetxea, and Virginia Naibo
- Some isoperimetric comparison theorems for convex bodies in Riemannian manifolds by Cesar Rosales Lombardo, and Vincent Bayle
- On the boundedness of the momentum support of solutions to the relativistic Vlasov-Maxwell system by and Christophe Pallard
- Variational convergence for functionals of Ginzburg-Landau type by Giovanni Alberti, Sisto Baldo, and Giandomenico Orlandi
- On the growth of powers of operators with spectrum contained in Cantor sets by and Cyril Agrafeuil
- Isoperimetric type inequalities for differential forms on manifolds by Flavia Giannetti, and Antonia Passarelli di Napoli
- Kinematic formulas for integral invariants of degree two in real space forms by Hong Jae Kang, Takashi Sakai, and Young Jin Suh

- Feedback stabilization of periodic solutions to nonlinear parabolic-like evolution systems by Viorel Barbu, and G. Wang
- Contact projective structures by and Daniel J.F. Fox
- Existence results for the Yamabe problem on manifolds with boundary by and Fernando Coda Marques
- The escape trichotomy for singularly perturbed rational maps by Robert L. Devaney, Daniel M. Look, and David Uminsky
- Stable solutions to Landau-Lifshitz-Maxwell equations by and Jian Zhai
- Quadratic polynomials and combinatorics of the principal nest by and Rodrigo A Perez
- Selfsimilar blowup of unstable thin-film equations by D. Slepcev, and M. C. Pugh
- Derivations of CSL algebras by and Robert L. Moore
- Two-phase transition problems for fully nonlinear parabolic equations of second order by and Emmanouil Milakis
- Direct and inverse problems for differential systems connected with Dirac systems and related factorization problems by Damir Z. Arov, and Harry Dym
- Geometry and stability of surfaces with constant anisotropic mean curvature by Miyuki Koiso, and Bennett Palmer