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Communications on Pure & Applied Analysis

May 2016 , Volume 15 , Issue 3

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Nonexistence of positive solutions for polyharmonic systems in $\mathbb{R}^N_+$
Yuxia Guo and Bo Li
2016, 15(3): 701-713 doi: 10.3934/cpaa.2016.15.701 +[Abstract](771) +[PDF](393.7KB)
On Compactness Conditions for the $p$-Laplacian
Pavel Jirásek
2016, 15(3): 715-726 doi: 10.3934/cpaa.2016.15.715 +[Abstract](926) +[PDF](369.4KB)
Well-posedness and ill-posedness results for the Novikov-Veselov equation
Yannis Angelopoulos
2016, 15(3): 727-760 doi: 10.3934/cpaa.2016.15.727 +[Abstract](982) +[PDF](563.2KB)
A weighted $L_p$-theory for second-order parabolic and elliptic partial differential systems on a half space
Kyeong-Hun Kim and Kijung Lee
2016, 15(3): 761-794 doi: 10.3934/cpaa.2016.15.761 +[Abstract](934) +[PDF](547.8KB)
A class of virus dynamic model with inhibitory effect on the growth of uninfected T cells caused by infected T cells and its stability analysis
Wenbo Cheng, Wanbiao Ma and Songbai Guo
2016, 15(3): 795-806 doi: 10.3934/cpaa.2016.15.795 +[Abstract](1064) +[PDF](413.7KB)
A Liouville-type theorem for higher order elliptic systems of Hé non-Lane-Emden type
Frank Arthur and Xiaodong Yan
2016, 15(3): 807-830 doi: 10.3934/cpaa.2016.15.807 +[Abstract](1252) +[PDF](476.2KB)
Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity
Hiroyuki Hirayama and Mamoru Okamoto
2016, 15(3): 831-851 doi: 10.3934/cpaa.2016.15.831 +[Abstract](1164) +[PDF](481.9KB)
A class of generalized quasilinear Schrödinger equations
Yaotian Shen and Youjun Wang
2016, 15(3): 853-870 doi: 10.3934/cpaa.2016.15.853 +[Abstract](836) +[PDF](438.2KB)
Traveling waves for a diffusive SEIR epidemic model
Zhiting Xu
2016, 15(3): 871-892 doi: 10.3934/cpaa.2016.15.871 +[Abstract](971) +[PDF](461.7KB)
Qualitative properties of solutions to an integral system associated with the Bessel potential
Lu Chen, Zhao Liu and Guozhen Lu
2016, 15(3): 893-906 doi: 10.3934/cpaa.2016.15.893 +[Abstract](921) +[PDF](403.5KB)
On the differentiability of the solutions of non-local Isaacs equations involving $\frac{1}{2}$-Laplacian
Imran H. Biswas and Indranil Chowdhury
2016, 15(3): 907-927 doi: 10.3934/cpaa.2016.15.907 +[Abstract](816) +[PDF](476.4KB)
Oscillatory integrals related to Carleson's theorem: fractional monomials
Shaoming Guo
2016, 15(3): 929-946 doi: 10.3934/cpaa.2016.15.929 +[Abstract](805) +[PDF](441.3KB)
Layer solutions for an Allen-Cahn type system driven by the fractional Laplacian
Yan Hu
2016, 15(3): 947-964 doi: 10.3934/cpaa.2016.15.947 +[Abstract](964) +[PDF](439.7KB)
Infinitely many solutions for nonlinear Schrödinger system with non-symmetric potentials
Weiwei Ao, Liping Wang and Wei Yao
2016, 15(3): 965-989 doi: 10.3934/cpaa.2016.15.965 +[Abstract](881) +[PDF](496.0KB)
Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent
Kaimin Teng and Xiumei He
2016, 15(3): 991-1008 doi: 10.3934/cpaa.2016.15.991 +[Abstract](1028) +[PDF](430.2KB)
Global regular solutions to two-dimensional thermoviscoelasticity
Jerzy Gawinecki and Wojciech M. Zajączkowski
2016, 15(3): 1009-1028 doi: 10.3934/cpaa.2016.15.1009 +[Abstract](792) +[PDF](416.5KB)
Inversion of the spherical Radon transform on spheres through the origin using the regular Radon transform
Sunghwan Moon
2016, 15(3): 1029-1039 doi: 10.3934/cpaa.2016.15.1029 +[Abstract](1060) +[PDF](4710.4KB)
Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting
Jicai Huang, Sanhong Liu, Shigui Ruan and Xinan Zhang
2016, 15(3): 1041-1055 doi: 10.3934/cpaa.2016.15.1041 +[Abstract](1137) +[PDF](2561.0KB)
Traveling wave solutions in a nonlocal reaction-diffusion population model
Bang-Sheng Han and Zhi-Cheng Wang
2016, 15(3): 1057-1076 doi: 10.3934/cpaa.2016.15.1057 +[Abstract](1399) +[PDF](1955.9KB)

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