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Periodic solutions of a class of Newtonian equations
Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering
1.  Department of Mathematics, Bogaziçi University, Bebek 34342, Istanbul, Turkey, Turkey 
[1] 
Zedong Yang, Guotao Wang, Ravi P. Agarwal, Haiyong Xu. Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020436 
[2] 
Claudianor O. Alves, Rodrigo C. M. Nemer, Sergio H. Monari Soares. The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020276 
[3] 
Serge Dumont, Olivier Goubet, Youcef Mammeri. Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020456 
[4] 
Scipio Cuccagna, Masaya Maeda. A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020450 
[5] 
Kihoon Seong. Low regularity a priori estimates for the fourth order cubic nonlinear Schrödinger equation. Communications on Pure & Applied Analysis, 2020, 19 (12) : 54375473. doi: 10.3934/cpaa.2020247 
[6] 
José Luis López. A quantum approach to KellerSegel dynamics via a dissipative nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020376 
[7] 
Xiyou Cheng, Zhitao Zhang. Structure of positive solutions to a class of Schrödinger systems. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020461 
[8] 
Justin Holmer, Chang Liu. Blowup for the 1D nonlinear Schrödinger equation with point nonlinearity II: Supercritical blowup profiles. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020264 
[9] 
Cheng He, Changzheng Qu. Global weak solutions for the twocomponent Novikov equation. Electronic Research Archive, 2020, 28 (4) : 15451562. doi: 10.3934/era.2020081 
[10] 
Ahmad Z. Fino, Wenhui Chen. A global existence result for twodimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain. Communications on Pure & Applied Analysis, 2020, 19 (12) : 53875411. doi: 10.3934/cpaa.2020243 
[11] 
Christian Beck, Lukas Gonon, Martin Hutzenthaler, Arnulf Jentzen. On existence and uniqueness properties for solutions of stochastic fixed point equations. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020320 
[12] 
Hua Chen, Yawei Wei. Multiple solutions for nonlinear cone degenerate elliptic equations. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020272 
[13] 
Thierry Cazenave, Ivan Naumkin. Local smooth solutions of the nonlinear Kleingordon equation. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020448 
[14] 
Jianhua Huang, Yanbin Tang, Ming Wang. Singular support of the global attractor for a damped BBM equation. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020345 
[15] 
Shiqi Ma. On recent progress of singlerealization recoveries of random Schrödinger systems. Electronic Research Archive, , () : . doi: 10.3934/era.2020121 
[16] 
Denis Bonheure, Silvia Cingolani, Simone Secchi. Concentration phenomena for the SchrödingerPoisson system in $ \mathbb{R}^2 $. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020447 
[17] 
Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 455469. doi: 10.3934/dcds.2020380 
[18] 
Peter Poláčik, Pavol Quittner. Entire and ancient solutions of a supercritical semilinear heat equation. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 413438. doi: 10.3934/dcds.2020136 
[19] 
Bo Chen, Youde Wang. Global weak solutions for LandauLifshitz flows and heat flows associated to micromagnetic energy functional. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020268 
[20] 
Mengni Li. Global regularity for a class of MongeAmpère type equations with nonzero boundary conditions. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020267 
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