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Volume 39, 2019

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AIMS joins the mathematics community worldwide in congratulating ProfessorAlessio Figalli on being awarded the Fields Medal 2018. Professor Figallihas made important contributions to AIMS journals and conferences. Heserved as the Managing Editor of Discrete and Continuous Dynamical Systemsfrom 2012 to 2016 and delivered a plenary lecture at the 11th AIMSconference (2016) in Orlando, USA. Details can be found at  http://aimsciences.org/conferences/2016/2016_speakers.html

Congratulations, Alessio!


DCDS, series A includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Preface
Yanyan Li, Fanghua Lin and Yannick Sire
2019, 39(12) : ⅰ-ⅰ doi: 10.3934/dcds.2019305 +[Abstract](355) +[HTML](172) +[PDF](70.74KB)
Minimizers of the $ p $-oscillation functional
Annalisa Cesaroni, Serena Dipierro, Matteo Novaga and Enrico Valdinoci
2019, 39(12) : 6785-6799 doi: 10.3934/dcds.2019231 +[Abstract](588) +[HTML](237) +[PDF](331.21KB)
Superfluids passing an obstacle and vortex nucleation
Fanghua Lin and Juncheng Wei
2019, 39(12) : 6801-6824 doi: 10.3934/dcds.2019232 +[Abstract](549) +[HTML](244) +[PDF](462.39KB)
Free boundary problems associated with cancer treatment by combination therapy
Avner Friedman and Xiulan Lai
2019, 39(12) : 6825-6842 doi: 10.3934/dcds.2019233 +[Abstract](698) +[HTML](250) +[PDF](451.56KB)
Homogenization of the boundary value for the Dirichlet problem
Sunghan Kim, Ki-Ahm Lee and Henrik Shahgholian
2019, 39(12) : 6843-6864 doi: 10.3934/dcds.2019234 +[Abstract](547) +[HTML](237) +[PDF](461.3KB)
Regularity results for the equation $ u_{11}u_{22} = 1 $
Connor Mooney and Ovidiu Savin
2019, 39(12) : 6865-6876 doi: 10.3934/dcds.2019235 +[Abstract](447) +[HTML](216) +[PDF](326.67KB)
Soap films with gravity and almost-minimal surfaces
Francesco Maggi, Salvatore Stuvard and Antonello Scardicchio
2019, 39(12) : 6877-6912 doi: 10.3934/dcds.2019236 +[Abstract](550) +[HTML](291) +[PDF](648.27KB)
Blow-up for the 3-dimensional axially symmetric harmonic map flow into $ S^2 $
Juan Dávila, Manuel Del Pino, Catalina Pesce and Juncheng Wei
2019, 39(12) : 6913-6943 doi: 10.3934/dcds.2019237 +[Abstract](439) +[HTML](208) +[PDF](441.01KB)
On global solutions to semilinear elliptic equations related to the one-phase free boundary problem
Xavier Fernández-Real and Xavier Ros-Oton
2019, 39(12) : 6945-6959 doi: 10.3934/dcds.2019238 +[Abstract](500) +[HTML](223) +[PDF](451.6KB)
Recent progresses on elliptic two-phase free boundary problems
Daniela De Silva, Fausto Ferrari and Sandro Salsa
2019, 39(12) : 6961-6978 doi: 10.3934/dcds.2019239 +[Abstract](514) +[HTML](271) +[PDF](365.1KB)
The method of energy channels for nonlinear wave equations
Carlos E. Kenig
2019, 39(12) : 6979-6993 doi: 10.3934/dcds.2019240 +[Abstract](603) +[HTML](334) +[PDF](376.01KB)
A nondegeneracy condition for a semilinear elliptic system and the existence of 1- bump solutions
Piero Montecchiari and Paul H. Rabinowitz
2019, 39(12) : 6995-7012 doi: 10.3934/dcds.2019241 +[Abstract](493) +[HTML](264) +[PDF](423.44KB)
Remarks on some minimization problems associated with BV norms
Haïm Brezis
2019, 39(12) : 7013-7029 doi: 10.3934/dcds.2019242 +[Abstract](627) +[HTML](258) +[PDF](185.21KB)
The area blow up set for bounded mean curvature submanifolds with respect to elliptic surface energy functionals
Guido De Philippis, Antonio De Rosa and Jonas Hirsch
2019, 39(12) : 7031-7056 doi: 10.3934/dcds.2019243 +[Abstract](465) +[HTML](232) +[PDF](426.27KB)
On a remarkable example of F. Almgren and H. Federer in the global theory of minimizing geodesics
Xifeng Su and Rafael de la Llave
2019, 39(12) : 7057-7080 doi: 10.3934/dcds.2019295 +[Abstract](114) +[HTML](50) +[PDF](4122.64KB)
The Strauss conjecture on negatively curved backgrounds
Yannick Sire, Christopher D. Sogge and Chengbo Wang
2019, 39(12) : 7081-7099 doi: 10.3934/dcds.2019296 +[Abstract](88) +[HTML](46) +[PDF](416.72KB)
Regularity of monotone transport maps between unbounded domains
Dario Cordero-Erausquin and Alessio Figalli
2019, 39(12) : 7101-7112 doi: 10.3934/dcds.2019297 +[Abstract](98) +[HTML](59) +[PDF](359.86KB)
The fractional Schrödinger equation with singular potential and measure data
David Gómez-Castro and Juan Luis Vázquez
2019, 39(12) : 7113-7139 doi: 10.3934/dcds.2019298 +[Abstract](137) +[HTML](52) +[PDF](490.35KB)
Predator-prey models with competition, Part Ⅲ: Classification of stationary solutions
Henri Berestycki and Alessandro Zilio
2019, 39(12) : 7141-7162 doi: 10.3934/dcds.2019299 +[Abstract](117) +[HTML](53) +[PDF](384.54KB)
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. Ⅲ. Two singularities
Li Li, Yanyan Li and Xukai Yan
2019, 39(12) : 7163-7211 doi: 10.3934/dcds.2019300 +[Abstract](89) +[HTML](46) +[PDF](579.13KB)
Free boundaries subject to topological constraints
David Jerison and Nikola Kamburov
2019, 39(12) : 7213-7248 doi: 10.3934/dcds.2019301 +[Abstract](98) +[HTML](50) +[PDF](1256.1KB)
A new proof of the boundedness results for stable solutions to semilinear elliptic equations
Xavier Cabré
2019, 39(12) : 7249-7264 doi: 10.3934/dcds.2019302 +[Abstract](130) +[HTML](58) +[PDF](391.98KB)
Sharp large time behaviour in $ N $-dimensional Fisher-KPP equations
Jean-Michel Roquejoffre, Luca Rossi and Violaine Roussier-Michon
2019, 39(12) : 7265-7290 doi: 10.3934/dcds.2019303 +[Abstract](109) +[HTML](48) +[PDF](482.82KB)
On the optimal map in the $ 2 $-dimensional random matching problem
Luigi Ambrosio, Federico Glaudo and Dario Trevisan
2019, 39(12) : 7291-7308 doi: 10.3934/dcds.2019304 +[Abstract](95) +[HTML](43) +[PDF](397.8KB)
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Joachim Escher, Olaf Lechtenfeld and Zhaoyang Yin
2007, 19(3) : 493-513 doi: 10.3934/dcds.2007.19.493 +[Abstract](3573) +[PDF](233.8KB) Cited By(162)
Global attractors for damped semilinear wave equations
John M. Ball
2004, 10(1&2) : 31-52 doi: 10.3934/dcds.2004.10.31 +[Abstract](4574) +[PDF](246.2KB) Cited By(153)
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
Xiaoyue Li and Xuerong Mao
2009, 24(2) : 523-545 doi: 10.3934/dcds.2009.24.523 +[Abstract](4443) +[PDF](262.8KB) Cited By(142)
Remarks on regularities for the 3D MHD equations
Yong Zhou
2005, 12(5) : 881-886 doi: 10.3934/dcds.2005.12.881 +[Abstract](2453) +[PDF](176.3KB) Cited By(141)
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
Jie Shen and Xiaofeng Yang
2010, 28(4) : 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](4002) +[PDF](382.7KB) Cited By(133)
The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
2002, 8(2) : 399-433 doi: 10.3934/dcds.2002.8.399 +[Abstract](3491) +[PDF](369.4KB) Cited By(113)
Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$
Zhengping Wang and Huan-Song Zhou
2007, 18(4) : 809-816 doi: 10.3934/dcds.2007.18.809 +[Abstract](2522) +[PDF](153.0KB) Cited By(89)
BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
Zhen Lei and Yi Zhou
2009, 25(2) : 575-583 doi: 10.3934/dcds.2009.25.575 +[Abstract](2583) +[PDF](159.5KB) Cited By(82)
Global stability for damped Timoshenko systems
J.E. Muñoz Rivera and Reinhard Racke
2003, 9(6) : 1625-1639 doi: 10.3934/dcds.2003.9.1625 +[Abstract](2670) +[PDF](167.1KB) Cited By(76)
Attractors for nonautonomous 2d Navier-Stokes equations with normal external forces
Songsong Lu, Hongqing Wu and Chengkui Zhong
2005, 13(3) : 701-719 doi: 10.3934/dcds.2005.13.701 +[Abstract](2748) +[PDF](263.7KB) Cited By(74)
Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
Wei Dai, Jiahui Huang, Yu Qin, Bo Wang and Yanqin Fang
2019, 39(3) : 1389-1403 doi: 10.3934/dcds.2018117 +[Abstract](3926) +[HTML](779) +[PDF](472.85KB) PDF Downloads(385)
Traveling wave solutions of a highly nonlinear shallow water equation
Anna Geyer and Ronald Quirchmayr
2018, 38(3) : 1567-1604 doi: 10.3934/dcds.2018065 +[Abstract](4669) +[HTML](2001) +[PDF](12373.99KB) PDF Downloads(333)
On the universality of the incompressible Euler equation on compact manifolds
Terence Tao
2018, 38(3) : 1553-1565 doi: 10.3934/dcds.2018064 +[Abstract](3418) +[HTML](585) +[PDF](422.44KB) PDF Downloads(236)
On a class of non-local elliptic equations with asymptotically linear term
Yuanhong Wei and Xifeng Su
2018, 38(12) : 6287-6304 doi: 10.3934/dcds.2018154 +[Abstract](3123) +[HTML](489) +[PDF](442.05KB) PDF Downloads(225)
Some questions looking for answers in dynamical systems
Carles Simó
2018, 38(12) : 6215-6239 doi: 10.3934/dcds.2018267 +[Abstract](2697) +[HTML](230) +[PDF](531.03KB) PDF Downloads(224)
Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus
Ruofei Yao, Yi Li and Hongbin Chen
2019, 39(3) : 1585-1594 doi: 10.3934/dcds.2018122 +[Abstract](3575) +[HTML](629) +[PDF](388.54KB) PDF Downloads(220)
Classification for positive solutions of degenerate elliptic system
Yuxia Guo and Jianjun Nie
2019, 39(3) : 1457-1475 doi: 10.3934/dcds.2018130 +[Abstract](2976) +[HTML](544) +[PDF](412.94KB) PDF Downloads(202)
The two membranes problem for fully nonlinear operators
Luis Caffarelli, Luis Duque and Hernán Vivas
2018, 38(12) : 6015-6027 doi: 10.3934/dcds.2018152 +[Abstract](2981) +[HTML](389) +[PDF](364.45KB) PDF Downloads(202)
Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
Roland Gunesch and Philipp Kunde
2018, 38(4) : 1615-1655 doi: 10.3934/dcds.2018067 +[Abstract](3432) +[HTML](451) +[PDF](683.82KB) PDF Downloads(200)
Attainability of the fractional hardy constant with nonlocal mixed boundary conditions: Applications
Boumediene Abdellaoui, Ahmed Attar, Abdelrazek Dieb and Ireneo Peral
2018, 38(12) : 5963-5991 doi: 10.3934/dcds.2018131 +[Abstract](3071) +[HTML](435) +[PDF](521.23KB) PDF Downloads(185)

2018  Impact Factor: 1.143

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