Issue no. 1 Table of Contents

Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy–Leray potential

Merchán, Susana ; Montoro, Luigi ; Peral, Ireneo ; Sciunzi, Berardino

p. 1-22
Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

Cabré, Xavier ; Sire, Yannick

p. 23-53
On the “viscous incompressible fluid+rigid body” system with Navier conditions

Planas, Gabriela ; Sueur, Franck

p. 55-80
Asymptotic behavior for critical Patlak–Keller–Segel model and a repulsive–attractive aggregation equation

Yao, Yao

p. 81-101
Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs

Bolotin, Sergey ; Rabinowitz, Paul H.

p. 103-128
Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces

Korte, Riikka ; Lahti, Panu

p. 129-154
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior

Liang, Zhanping ; Li, Fuyi ; Shi, Junping

p. 155-167
Counterexample to regularity in average-distance problem

Slepčev, Dejan

p. 169-184
New results on Γ-limits of integral functionals

Ansini, Nadia ; Dal Maso, Gianni ; Zeppieri, Caterina Ida

p. 185-202

Issue no. 2 Table of Contents

A uniqueness result for the quasiconvex operator and first order PDEs for convex envelopes

Barron, E.N. ; Jensen, R.R.

p. 203-215
Optimal limiting embeddings for Δ-reduced Sobolev spaces in L 1

Fontana, Luigi ; Morpurgo, Carlo

p. 217-230
Blow-up set for type I blowing up solutions for a semilinear heat equation

Fujishima, Yohei ; Ishige, Kazuhiro

p. 231-247
Gelfand type quasilinear elliptic problems with quadratic gradient terms

Arcoya, David ; Carmona, José ; Martínez-Aparicio, Pedro J.

p. 249-265
On the Cauchy problem of a weakly dissipative μ-Hunter–Saxton equation

Liu, Jingjing ; Yin, Zhaoyang

p. 267-279
Small time heat kernel asymptotics at the cut locus on surfaces of revolution

Barilari, Davide ; Jendrej, Jacek

p. 281-295
On the sharp constant for the weighted Trudinger–Moser type inequality of the scaling invariant form

Ishiwata, Michinori ; Nakamura, Makoto ; Wadade, Hidemitsu

p. 297-314
Global regularity for the energy-critical NLS on 𝕊 3

Pausader, Benoit ; Tzvetkov, Nikolay ; Wang, Xuecheng

p. 315-338
Duality methods for a class of quasilinear systems

Marini, Antonella ; Otway, Thomas H.

p. 339-348
Flowing maps to minimal surfaces: Existence and uniqueness of solutions

Rupflin, Melanie

p. 349-368
Feedback stabilization of a simplified 1d fluid–particle system

Badra, Mehdi ; Takahashi, Takéo

p. 369-389
On double-covering stationary points of a constrained Dirichlet energy

Bevan, Jonathan

p. 391-411
Conditions at infinity for the inhomogeneous filtration equation

Grillo, Gabriele ; Muratori, Matteo ; Punzo, Fabio

p. 413-428

Issue no. 3 Table of Contents

Standing waves for linearly coupled Schrödinger equations with critical exponent

Chen, Zhijie ; Zou, Wenming

p. 429-447
Hardy inequalities on Riemannian manifolds and applications

D'Ambrosio, Lorenzo ; Dipierro, Serena

p. 449-475
Bang-bang property for time optimal control of semilinear heat equation

Phung, Kim Dang ; Wang, Lijuan ; Zhang, Can

p. 477-499
Simultaneous local exact controllability of 1D bilinear Schrödinger equations

Morancey, Morgan

p. 501-529
Multiple brake orbits on compact convex symmetric reversible hypersurfaces in 𝐑 2n

Zhang, Duanzhi ; Liu, Chungen

p. 531-554
Well-posedness for Hall-magnetohydrodynamics

Chae, Dongho ; Degond, Pierre ; Liu, Jian-Guo

p. 555-565
Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms

Daneri, Sara ; Pratelli, Aldo

p. 567-589
Constant Q-curvature metrics near the hyperbolic metric

Li, Gang

p. 591-614
Gradient integrability and rigidity results for two-phase conductivities in two dimensions

Nesi, Vincenzo ; Palombaro, Mariapia ; Ponsiglione, Marcello

p. 615-638
On linear instability of solitary waves for the nonlinear Dirac equation

Comech, Andrew ; Guan, Meijiao ; Gustafson, Stephen

p. 639-654

Issue no. 4 Table of Contents

The near field refractor

Gutiérrez, Cristian E. ; Huang, Qingbo

p. 655-684
The boundary value problem for the super-Liouville equation

Jost, Jürgen ; Wang, Guofang ; Zhou, Chunqin ; Zhu, Miaomiao

p. 685-706
Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds

Mondino, Andrea ; Schygulla, Johannes

p. 707-724
An energy constrained method for the existence of layered type solutions of NLS equations

Alessio, Francesca ; Montecchiari, Piero

p. 725-749
Global smooth dynamics of a fully ionized plasma with long-range collisions

Duan, Renjun

p. 751-778
Unilateral gradient flow of the Ambrosio–Tortorelli functional by minimizing movements

Babadjian, Jean-François ; Millot, Vincent

p. 779-822
Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase

Braga, J. Ederson M. ; Moreira, Diego R.

p. 823-850
Nondegeneracy of blow-up points for the parabolic Keller–Segel system

Mizoguchi, Noriko ; Souplet, Philippe

p. 851-875

Issue no. 5 Table of Contents

Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors

Ammari, Habib ; Deng, Youjun ; Kang, Hyeonbae ; Lee, Hyundae

p. 877-897
Estimates on fractional higher derivatives of weak solutions for the Navier–Stokes equations

Choi, Kyudong ; Vasseur, Alexis F.

p. 899-945
Distributional Jacobian equal to ℋ 1 measure

Hencl, Stanislav ; Liu, Zhuomin ; Malý, Jan

p. 947-955
From homogenization to averaging in cellular flows

Iyer, Gautam ; Komorowski, Tomasz ; Novikov, Alexei ; Ryzhik, Lenya

p. 957-983
Partially hyperbolic geodesic flows

Carneiro, Fernando ; Pujals, Enrique

p. 985-1014
Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation

Acerbi, Emilio ; Mucci, Domenico

p. 1015-1034
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations

Boyer, Franck ; Le Rousseau, Jérôme

p. 1035-1078
Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping

Cavalcanti, M.M. ; Domingos Cavalcanti, V.N. ; Komornik, V. ; Rodrigues, J.H.

p. 1079-1100

Issue no. 6 Table of Contents

Almost reduction and perturbation of matrix cocycles

Bochi, Jairo ; Navas, Andrés

p. 1101-1107
Multi-bang control of elliptic systems

Clason, Christian ; Kunisch, Karl

p. 1109-1130
Regularity of p(·)-superharmonic functions, the Kellogg property and semiregular boundary points

Adamowicz, Tomasz ; Björn, Anders ; Björn, Jana

p. 1131-1153
Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli

Akagi, Goro ; Kajikiya, Ryuji

p. 1155-1173
Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations

Chiron, D.

p. 1175-1230
Extremal domains of big volume for the first eigenvalue of the Laplace–Beltrami operator in a compact manifold

Sicbaldi, Pieralberto

p. 1231-1265
Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: The 2D case

Bourgain, Jean ; Bulut, Aynur

p. 1267-1288
Constrained energy minimization and orbital stability for the NLS equation on a star graph

Adami, Riccardo ; Cacciapuoti, Claudio ; Finco, Domenico ; Noja, Diego

p. 1289-1310
Motion of a vortex filament with axial flow in the half space

Aiki, Masashi ; Iguchi, Tatsuo

p. 1311-1335