Issue no. 1 Table of Contents

Optimal regularity for planar mappings of finite distortion

Astala, Kari ; Gill, James T. ; Rohde, Steffen ; Saksman, Eero

p. 1-19
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities

El Hajj, A.

p. 21-35
Concentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions

Garcia Azorero, Jesus ; Malchiodi, Andrea ; Montoro, Luigi ; Peral, Ireneo

p. 37-56
The limiting behavior of the value-function for variational problems arising in continuum mechanics

Zaslavski, Alexander J.

p. 57-72
Best constants in a borderline case of second-order Moser type inequalities

Cassani, Daniele ; Ruf, Bernhard ; Tarsi, Cristina

p. 73-93
Choquet simplices as spaces of invariant probability measures on post-critical sets

Cortez, María Isabel ; Rivera-Letelier, Juan

p. 95-115
Profile of bubbling solutions to a Liouville system

Lin, Chang-Shou ; Zhang, Lei

p. 117-143
The boundary regularity of non-linear parabolic systems II

Bögelein, Verena ; Duzaar, Frank ; Mingione, Giuseppe

p. 145-200
The boundary regularity of non-linear parabolic systems I

Bögelein, Verena ; Duzaar, Frank ; Mingione, Giuseppe

p. 201-255
Quasistatic crack growth in finite elasticity with non-interpenetration

Dal Maso, Gianni ; Lazzaroni, Giuliano

p. 257-290
Blow up and grazing collision in viscous fluid solid interaction systems

Hillairet, Matthieu ; Takahashi, Takéo

p. 291-313
Gelfand type elliptic problems under Steklov boundary conditions

Berchio, Elvise ; Gazzola, Filippo ; Pierotti, Dario

p. 315-335
A blow-up criterion for compressible viscous heat-conductive flows

Fan, Jishan ; Jiang, Song ; Ou, Yaobin

p. 337-350
Solitary waves for nonlinear Klein–Gordon equations coupled with Born–Infeld theory

Yu, Yong

p. 351-376
An abstract Nash–Moser theorem with parameters and applications to PDEs

Berti, M. ; Bolle, P. ; Procesi, M.

p. 377-399
Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D

Gal, Ciprian G. ; Grasselli, Maurizio

p. 401-436
Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system

Cieślak, Tomasz ; Laurençot, Philippe

p. 437-446

Issue no. 2 Table of Contents

A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface

Bessoud, Anne Laure ; Krasucki, Françoise ; Michaille, Gérard

p. 447-469
Regularity of solutions for the critical N-dimensional Burgers' equation

Chan, Chi Hin ; Czubak, Magdalena

p. 471-501
A remark on gauge transformations and the moving frame method

Schikorra, Armin

p. 503-515
Invertibility of Sobolev mappings under minimal hypotheses

Kovalev, Leonid V. ; Onninen, Jani ; Rajala, Kai

p. 517-528
Multiple solutions for a class of elliptic equations with jumping nonlinearities

Molle, Riccardo ; Passaseo, Donato

p. 529-553
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps

Varandas, Paulo ; Viana, Marcelo

p. 555-593
Statistical stability for Hénon maps of the Benedicks–Carleson type

Alves, José F. ; Carvalho, Maria ; Freitas, Jorge Milhazes

p. 595-637
Regularity and mass conservation for discrete coagulation–fragmentation equations with diffusion

Cañizo, J.A. ; Desvillettes, L. ; Fellner, K.

p. 639-654
Phase transitions with a minimal number of jumps in the singular limits of higher order theories

Plotnikov, P.I. ; Toland, J.F.

p. 655-691
Eventual regularization for the slightly supercritical quasi-geostrophic equation

Silvestre, Luis

p. 693-704
Extension d'une classe d'unicité pour les équations de Navier–Stokes

May, Ramzi

p. 705-718
Convergence to self-similarity for the Boltzmann equation for strongly inelastic Maxwell molecules

Furioli, G. ; Pulvirenti, A. ; Terraneo, E. ; Toscani, G.

p. 719-737
Some new results in competing systems with many species

Wang, Kelei ; Zhang, Zhitao

p. 739-761
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros

Iturriaga, Leonelo ; Lorca, Sebastián ; Massa, Eugenio

p. 763-771
A regularity criterion for the 3D NSE in a local version of the space of functions of bounded mean oscillations

Grujić, Zoran ; Guberović, Rafaela

p. 773-778
On the Schrödinger–Maxwell equations under the effect of a general nonlinear term

Azzollini, A. ; d'Avenia, P. ; Pomponio, A.

p. 779-791

Issue no. 3 Table of Contents

Two-dimensional almost-Riemannian structures with tangency points

Agrachev, A.A. ; Boscain, U. ; Charlot, G. ; Ghezzi, R. ; Sigalotti, M.

p. 793-807
A kinetic model for coagulation–fragmentation

Broizat, Damien

p. 809-836
Ergodicity of Hamilton–Jacobi equations with a noncoercive nonconvex Hamiltonian in ℝ 2 /ℤ 2

Cardaliaguet, Pierre

p. 837-856
Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric

Caponio, Erasmo ; Javaloyes, Miguel Ángel ; Masiello, Antonio

p. 857-876
Semilinear parabolic equation in 𝐑 N associated with critical Sobolev exponent

Ikehata, Ryo ; Ishiwata, Michinori ; Suzuki, Takashi

p. 877-900
Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications

Nersesyan, Vahagn

p. 901-915
Multiple homoclinic solutions for singular differential equations

Zhu, Changrong ; Luo, Guangping ; Lan, Kunquan

p. 917-936
Nonlinear diffusion with a bounded stationary level surface

Magnanini, Rolando ; Sakaguchi, Shigeru

p. 937-952
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system

Dancer, E.N. ; Wei, Juncheng ; Weth, Tobias

p. 953-969
Erratum to “Well-posedness and scattering for the KP-II equation in a critical space”

Hadac, Martin ; Herr, Sebastian ; Koch, Herbert

p. 971-972

Issue no. 4 Table of Contents

Point-condensation phenomena and saturation effect for the one-dimensional Gierer–Meinhardt system

Morimoto, Kotaro

p. 973-995
Non-uniqueness of weak solutions for the fractal Burgers equation

Alibaud, Nathaël ; Andreianov, Boris

p. 997-1016
Well-posed elliptic Neumann problems involving irregular data and domains

Alvino, Angelo ; Cianchi, Andrea ; Maz'ya, Vladimir G. ; Mercaldo, Anna

p. 1017-1054
Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials

Mugnai, Dimitri

p. 1055-1071
From the Klein–Gordon–Zakharov system to a singular nonlinear Schrödinger system

Masmoudi, Nader ; Nakanishi, Kenji

p. 1073-1096
Controllability of a string submitted to unilateral constraint

Ammar-Khodja, Farid ; Micu, Sorin ; Münch, Arnaud

p. 1097-1119
Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations

Byeon, Jaeyoung ; Oshita, Yoshihito

p. 1121-1152

Issue no. 5 Table of Contents

On the energy critical Schrödinger equation in 3D non-trapping domains

Ivanovici, Oana ; Planchon, Fabrice

p. 1153-1177
Singular solution to Special Lagrangian Equations

Nadirashvili, Nikolai ; Vlăduţ, Serge

p. 1179-1188
Higher derivatives estimate for the 3D Navier–Stokes equation

Vasseur, Alexis

p. 1189-1204
Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials

Ba, Na ; Deng, Yinbin ; Peng, Shuangjie

p. 1205-1226
Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data

Hmidi, Taoufik ; Rousset, Frédéric

p. 1227-1246
Un problème aux limites mixte des surfaces minimales avec une multiple projection plane et le dessin optimal des escaliers tournants

Sauvigny, Friedrich

p. 1247-1270
Energy conservation and blowup of solutions for focusing Gross–Pitaevskii hierarchies

Chen, Thomas ; Pavlović, Nataša ; Tzirakis, Nikolaos

p. 1271-1290
Exact reconstruction of damaged color images using a total variation model

Fonseca, I. ; Leoni, G. ; Maggi, F. ; Morini, M.

p. 1291-1331

Issue no. 6 Table of Contents

A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation

Zheng, Gao-Feng

p. 1333-1360
Local Lipschitz regularity for degenerate elliptic systems

Duzaar, Frank ; Mingione, Giuseppe

p. 1361-1396
Generic Morse–Smale property for the parabolic equation on the circle

Joly, Romain ; Raugel, Geneviève

p. 1397-1440
The mean curvature at the first singular time of the mean curvature flow

Le, Nam Q. ; Sesum, Natasa

p. 1441-1459
The C 1 closing lemma for generic C 1 endomorphisms

Rovella, Alvaro ; Sambarino, Martín

p. 1461-1469
Equivalence of viscosity and weak solutions for the p(x)-Laplacian

Juutinen, Petri ; Lukkari, Teemu ; Parviainen, Mikko

p. 1471-1487
BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers

Björn, Anders ; Björn, Jana ; Marola, Niko

p. 1489-1505