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Communications on Pure & Applied Analysis

May 2019 , Volume 18 , Issue 3

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Large time behavior of solutions of local and nonlocal nondegenerate Hamilton-Jacobi equations with Ornstein-Uhlenbeck operator
Thi Tuyen Nguyen
2019, 18(3): 999-1021 doi: 10.3934/cpaa.2019049 +[Abstract](641) +[HTML](190) +[PDF](411.33KB)
Uniqueness for Neumann problems for nonlinear elliptic equations
Maria Francesca Betta, Olivier Guibé and Anna Mercaldo
2019, 18(3): 1023-1048 doi: 10.3934/cpaa.2019050 +[Abstract](578) +[HTML](191) +[PDF](408.87KB)
Entire solutions in nonlocal monostable equations: Asymmetric case
Yu-Juan Sun, Li Zhang, Wan-Tong Li and Zhi-Cheng Wang
2019, 18(3): 1049-1072 doi: 10.3934/cpaa.2019051 +[Abstract](476) +[HTML](193) +[PDF](416.88KB)
The properties of positive solutions to semilinear equations involving the fractional Laplacian
Rongrong Yang and Zhongxue Lü
2019, 18(3): 1073-1089 doi: 10.3934/cpaa.2019052 +[Abstract](631) +[HTML](208) +[PDF](382.99KB)
A study of comparison, existence and regularity of viscosity and weak solutions for quasilinear equations in the Heisenberg group
Pablo Ochoa and Julio Alejo Ruiz
2019, 18(3): 1091-1115 doi: 10.3934/cpaa.2019053 +[Abstract](447) +[HTML](208) +[PDF](424.17KB)
The exponential behavior of a stochastic Cahn-Hilliard-Navier-Stokes model with multiplicative noise
T. Tachim Medjo
2019, 18(3): 1117-1138 doi: 10.3934/cpaa.2019054 +[Abstract](437) +[HTML](207) +[PDF](439.67KB)
Analysis of positive solutions for a class of semipositone p-Laplacian problems with nonlinear boundary conditions
Eun Kyoung Lee, R. Shivaji, Inbo Sim and Byungjae Son
2019, 18(3): 1139-1154 doi: 10.3934/cpaa.2019055 +[Abstract](500) +[HTML](184) +[PDF](439.43KB)
Backward compact and periodic random attractors for non-autonomous sine-Gordon equations with multiplicative noise
Yangrong Li and Shuang Yang
2019, 18(3): 1155-1175 doi: 10.3934/cpaa.2019056 +[Abstract](421) +[HTML](176) +[PDF](464.72KB)
The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations
Eddye Bustamante, José Jiménez Urrea and Jorge Mejía
2019, 18(3): 1177-1203 doi: 10.3934/cpaa.2019057 +[Abstract](500) +[HTML](181) +[PDF](447.86KB)
Blow-up and global existence of solutions to a parabolic equation associated with the fraction p-Laplacian
Ronghua Jiang and Jun Zhou
2019, 18(3): 1205-1226 doi: 10.3934/cpaa.2019058 +[Abstract](573) +[HTML](216) +[PDF](463.95KB)
Reaction of the fluid flow on time-dependent boundary perturbation
Eduard Marušić-Paloka and Igor Pažanin
2019, 18(3): 1227-1246 doi: 10.3934/cpaa.2019059 +[Abstract](459) +[HTML](177) +[PDF](373.43KB)
Symmetry of solutions to a class of Monge-Ampère equations
Fan Cui and Huaiyu Jian
2019, 18(3): 1247-1259 doi: 10.3934/cpaa.2019060 +[Abstract](474) +[HTML](189) +[PDF](340.62KB)
Ground states of nonlinear Schrödinger systems with periodic or non-periodic potentials
Dongdong Qin, Xianhua Tang and Qingfang Wu
2019, 18(3): 1261-1280 doi: 10.3934/cpaa.2019061 +[Abstract](474) +[HTML](216) +[PDF](395.61KB)
Stability and $ L^{p}$ convergence rates of planar diffusion waves for three-dimensional bipolar Euler-Poisson systems
Yeping Li and Jie Liao
2019, 18(3): 1281-1302 doi: 10.3934/cpaa.2019062 +[Abstract](389) +[HTML](184) +[PDF](474.36KB)
Solvability of nonlocal systems related to peridynamics
Moritz Kassmann, Tadele Mengesha and James Scott
2019, 18(3): 1303-1332 doi: 10.3934/cpaa.2019063 +[Abstract](428) +[HTML](190) +[PDF](625.24KB)
Some Remarks on regularity criteria of Axially symmetric Navier-Stokes equations
Zijin Li and Xinghong Pan
2019, 18(3): 1333-1350 doi: 10.3934/cpaa.2019064 +[Abstract](404) +[HTML](207) +[PDF](502.88KB)
Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up
Yanbing Yang and Runzhang Xu
2019, 18(3): 1351-1358 doi: 10.3934/cpaa.2019065 +[Abstract](477) +[HTML](243) +[PDF](342.33KB)
A remark on local well-posedness for nonlinear Schrödinger equations with power nonlinearity-an alternative approach
Takeshi Wada
2019, 18(3): 1359-1374 doi: 10.3934/cpaa.2019066 +[Abstract](403) +[HTML](164) +[PDF](448.67KB)
A remark on norm inflation for nonlinear Schrödinger equations
Nobu Kishimoto
2019, 18(3): 1375-1402 doi: 10.3934/cpaa.2019067 +[Abstract](398) +[HTML](186) +[PDF](591.04KB)
Perturbations of nonlinear eigenvalue problems
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu and Dušan D. Repovš
2019, 18(3): 1403-1431 doi: 10.3934/cpaa.2019068 +[Abstract](442) +[HTML](241) +[PDF](430.79KB)
Hilbert transforms along double variable fractional monomials
Haixia Yu
2019, 18(3): 1433-1446 doi: 10.3934/cpaa.2019069 +[Abstract](418) +[HTML](187) +[PDF](414.22KB)
Stability of axially-symmetric solutions to incompressible magnetohydrodynamics with no azimuthal velocity and with only azimuthal magnetic field
Wojciech M. Zajączkowski
2019, 18(3): 1447-1482 doi: 10.3934/cpaa.2019070 +[Abstract](400) +[HTML](194) +[PDF](413.87KB)
Existence and non-monotonicity of traveling wave solutions for general diffusive predator-prey models
Cheng-Hsiung Hsu and Jian-Jhong Lin
2019, 18(3): 1483-1508 doi: 10.3934/cpaa.2019071 +[Abstract](435) +[HTML](225) +[PDF](555.56KB)
Applications of generalized trigonometric functions with two parameters
Hiroyuki Kobayashi and Shingo Takeuchi
2019, 18(3): 1509-1521 doi: 10.3934/cpaa.2019072 +[Abstract](646) +[HTML](265) +[PDF](399.38KB)
Riemann problems for a class of coupled hyperbolic systems of conservation laws with a source term
Yu Zhang and Yanyan Zhang
2019, 18(3): 1523-1545 doi: 10.3934/cpaa.2019073 +[Abstract](556) +[HTML](180) +[PDF](455.36KB)
Existence and asymptotic behavior of ground state solutions for asymptotically linear Schrödinger equation with inverse square potential
Xiaoyan Lin, Yubo He and Xianhua Tang
2019, 18(3): 1547-1565 doi: 10.3934/cpaa.2019074 +[Abstract](593) +[HTML](179) +[PDF](400.86KB)

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