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Communications on Pure & Applied Analysis

March 2015 , Volume 14 , Issue 2

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Existence of solutions for a Kirchhoff-type-nonlocal operators of elliptic type
Nemat Nyamoradi and Kaimin Teng
2015, 14(2): 361-371 doi: 10.3934/cpaa.2015.14.361 +[Abstract](946) +[PDF](383.7KB)
Trace Hardy--Sobolev--Maz'ya inequalities for the half fractional Laplacian
Stathis Filippas, Luisa Moschini and Achilles Tertikas
2015, 14(2): 373-382 doi: 10.3934/cpaa.2015.14.373 +[Abstract](926) +[PDF](327.6KB)
Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function
Qi Wang
2015, 14(2): 383-396 doi: 10.3934/cpaa.2015.14.383 +[Abstract](1091) +[PDF](405.9KB)
On the asymptotic stability of Volterra functional equations with vanishing delays
Hermann Brunner and Chunhua Ou
2015, 14(2): 397-406 doi: 10.3934/cpaa.2015.14.397 +[Abstract](960) +[PDF](322.7KB)
Second order elliptic operators in $L^2$ with first order degeneration at the boundary and outward pointing drift
Simona Fornaro, Giorgio Metafune, Diego Pallara and Roland Schnaubelt
2015, 14(2): 407-419 doi: 10.3934/cpaa.2015.14.407 +[Abstract](749) +[PDF](403.4KB)
On small perturbation of four-dimensional quasi-periodic system with degenerate equilibrium point
Wenhua Qiu and Jianguo Si
2015, 14(2): 421-437 doi: 10.3934/cpaa.2015.14.421 +[Abstract](870) +[PDF](358.8KB)
Sign-changing solutions to elliptic problems with two critical Sobolev-Hardy exponents
Yanfang Peng and Jing Yang
2015, 14(2): 439-455 doi: 10.3934/cpaa.2015.14.439 +[Abstract](1001) +[PDF](454.6KB)
Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay
Aissa Guesmia and Nasser-eddine Tatar
2015, 14(2): 457-491 doi: 10.3934/cpaa.2015.14.457 +[Abstract](1076) +[PDF](632.4KB)
Sharp existence criteria for positive solutions of Hardy--Sobolev type systems
John Villavert
2015, 14(2): 493-515 doi: 10.3934/cpaa.2015.14.493 +[Abstract](840) +[PDF](442.0KB)
A note on the Monge-Kantorovich problem in the plane
Zuo Quan Xu and Jia-An Yan
2015, 14(2): 517-525 doi: 10.3934/cpaa.2015.14.517 +[Abstract](813) +[PDF](504.1KB)
An integral equation involving Bessel potentials on half space
Yonggang Zhao and Mingxin Wang
2015, 14(2): 527-548 doi: 10.3934/cpaa.2015.14.527 +[Abstract](1098) +[PDF](481.9KB)
Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force
Yongcai Geng
2015, 14(2): 549-564 doi: 10.3934/cpaa.2015.14.549 +[Abstract](988) +[PDF](420.8KB)
The Liouville type theorem and local regularity results for nonlinear differential and integral systems
Zhenjie Li, Ze Cheng and Dongsheng Li
2015, 14(2): 565-576 doi: 10.3934/cpaa.2015.14.565 +[Abstract](873) +[PDF](386.0KB)
On the growth of the energy of entire solutions to the vector Allen-Cahn equation
Christos Sourdis
2015, 14(2): 577-584 doi: 10.3934/cpaa.2015.14.577 +[Abstract](870) +[PDF](360.2KB)
Note on global regularity of 3D generalized magnetohydrodynamic-$\alpha$ model with zero diffusivity
Xiaojing Xu and Zhuan Ye
2015, 14(2): 585-595 doi: 10.3934/cpaa.2015.14.585 +[Abstract](864) +[PDF](352.5KB)
$W$-Sobolev spaces: Higher order and regularity
Alexandre B. Simas and Fábio J. Valentim
2015, 14(2): 597-607 doi: 10.3934/cpaa.2015.14.597 +[Abstract](803) +[PDF](357.4KB)
Local and global existence results for the Navier-Stokes equations in the rotational framework
Daoyuan Fang, Bin Han and Matthias Hieber
2015, 14(2): 609-622 doi: 10.3934/cpaa.2015.14.609 +[Abstract](944) +[PDF](420.9KB)
A note on the unique continuation property for fully nonlinear elliptic equations
Agnid Banerjee
2015, 14(2): 623-626 doi: 10.3934/cpaa.2015.14.623 +[Abstract](807) +[PDF](287.2KB)
Mean oscillation and boundedness of Toeplitz Type operators associated to pseudo-differential operators
Lanzhe Liu
2015, 14(2): 627-636 doi: 10.3934/cpaa.2015.14.627 +[Abstract](832) +[PDF](333.0KB)
Logarithmic and improved regularity criteria for the 3D nematic liquid crystals models, Boussinesq system, and MHD equations in a bounded domain
Luigi C. Berselli and Jishan Fan
2015, 14(2): 637-655 doi: 10.3934/cpaa.2015.14.637 +[Abstract](872) +[PDF](446.8KB)
Hopf bifurcation in an age-structured population model with two delays
Xianlong Fu, Zhihua Liu and Pierre Magal
2015, 14(2): 657-676 doi: 10.3934/cpaa.2015.14.657 +[Abstract](1058) +[PDF](521.7KB)
Refined blow-up results for nonlinear fourth order differential equations
Filippo Gazzola and Paschalis Karageorgis
2015, 14(2): 677-693 doi: 10.3934/cpaa.2015.14.677 +[Abstract](1147) +[PDF](428.4KB)
Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system with cubic nonlinearities in $\mathbb{R}^2$
Salah Missaoui and Ezzeddine Zahrouni
2015, 14(2): 695-716 doi: 10.3934/cpaa.2015.14.695 +[Abstract](905) +[PDF](464.6KB)
Instability of multi-spot patterns in shadow systems of reaction-diffusion equations
Shin-Ichiro Ei, Kota Ikeda and Eiji Yanagida
2015, 14(2): 717-736 doi: 10.3934/cpaa.2015.14.717 +[Abstract](964) +[PDF](578.7KB)
Corrigendum of "Local well-posedness for the nonlinear Dirac equation in two space dimensions"
Hartmut Pecher
2015, 14(2): 737-742 doi: 10.3934/cpaa.2015.14.737 +[Abstract](848) +[PDF](248.9KB)

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