Discrete and Continuous Dynamical Systems - Series A: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=1 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13556 On a resonant mean field type equation: A “critical point at infinity" approach http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13556     A ``critical point theory at Infinity" approach of A. Bahri to the above problem is developed for the resonant case, i.e. when the parameter $\varrho$ is a multiple of $8 \pi$. Namely, we identify the so-called ``critical points at infinity" of the associated variational problem and compute their Morse indices. We then prove some Bahri-Coron type results which can be seen as a generalization of a degree formula in the non-resonant case due to C.C.Chen and C.S. Lin [18]. ]]> Mohameden Ahmedou, Mohamed Ben Ayed and Marcello Lucia Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13557 The stochastic value function in metric measure spaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13557 Ugo Bessi Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13558 Local criteria for blowup in two-dimensional chemotaxis models http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13558 Piotr Biler, Tomasz Cieślak, Grzegorz Karch and Jacek Zienkiewicz Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13559 Bifurcation at infinity for a semilinear wave equation with non-monotone nonlinearity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13559 José Caicedo, Alfonso Castro and Arturo Sanjuán Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13560 Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13560 Chengming Cao and Xiaoping Yuan Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13561 An existence proof of a symmetric periodic orbit in the octahedral six-body problem http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13561 Anete S. Cavalcanti Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13562 Regularity of 3D axisymmetric Navier-Stokes equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13562 Hui Chen, Daoyuan Fang and Ting Zhang Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13563 On specification and measure expansiveness http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13563 Welington Cordeiro, Manfred Denker and Xuan Zhang Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13564 Almost automorphic delayed differential equations and Lasota-Wazewska model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13564 Aníbal Coronel, Christopher Maulén, Manuel Pinto and Daniel Sepúlveda Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13565 Minimal mass non-scattering solutions of the focusing $L^2$-critical Hartree equations with radial data http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13565 Yanfang Gao and Zhiyong Wang Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13566 A unified approach to weighted Hardy type inequalities on Carnot groups http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13566 1.$ It is worth noting here that our unifying method may be readily used both to recover most of the previously known weighted Hardy and Heisenberg-Pauli-Weyl type inequalities as well as to construct other new inequalities with an explicit best constant on $\mathbb{G}.$ We also present some new results on two-weight $L^{p}$ Hardy type inequalities with remainder terms on a bounded domain $\Omega $ in $\mathbb{G}$ via a differential inequality. ]]> Jerome A. Goldstein, Ismail Kombe and Abdullah Yener Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13567 Performance bounds for the mean-field limit of constrained dynamics http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13567 Michael Herty and Mattia Zanella Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13568 Global well-posedness and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13568 Peng Jiang Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13569 Long-time stability of small FPU solitary waves http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13569 Amjad Khan and Dmitry E. Pelinovsky Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13570 Almost global existence for cubic nonlinear Schrödinger equations in one space dimension http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13570 Jason Murphy and Fabio Pusateri Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13571 On the local $C^{1, \alpha}$ solution of ideal magneto-hydrodynamical equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13571 Shu-Guang Shao, Shu Wang, Wen-Qing Xu and Yu-Li Ge Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13572 Degenerate with respect to parameters fold-Hopf bifurcations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13572 Gheorghe Tigan Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13573 A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13573 Xiaocai Wang, Junxiang Xu and Dongfeng Zhang Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13574 Existence-uniqueness and exponential estimate of pathwise solutions of retarded stochastic evolution systems with time smooth diffusion coefficients http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13574 Daoyi Xu and Weisong Zhou Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13575 Global attractor for a strongly damped wave equation with fully supercritical nonlinearities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13575 Zhijian Yang and Zhiming Liu Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13576 Multiple solutions with constant sign of a Dirichlet problem for a class of elliptic systems with variable exponent growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13576 Li Yin, Jinghua Yao, Qihu Zhang and Chunshan Zhao Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13577 Suspension of the billiard maps in the Lazutkin's coordinate http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13577 Jianlu Zhang Sat, 1 Apr 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13578 Wave breaking and global existence for the periodic rotation-Camassa-Holm system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13578 Ying Zhang Sat, 1 Apr 2017 08:00:00 GMT