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Communications on Pure & Applied Analysis

January 2013 , Volume 12 , Issue 1

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Laplacians on a family of quadratic Julia sets II
Tarik Aougab, Stella Chuyue Dong and Robert S. Strichartz
2013, 12(1): 1-58 doi: 10.3934/cpaa.2013.12.1 +[Abstract](1163) +[PDF](5441.4KB)
Whitney-type extensions in quasi-metric spaces
Ryan Alvarado, Irina Mitrea and Marius Mitrea
2013, 12(1): 59-88 doi: 10.3934/cpaa.2013.12.59 +[Abstract](1131) +[PDF](611.5KB)
Blowup in higher dimensional two species chemotactic systems
Piotr Biler, Elio E. Espejo and Ignacio Guerra
2013, 12(1): 89-98 doi: 10.3934/cpaa.2013.12.89 +[Abstract](898) +[PDF](353.8KB)
Ground state solutions for quasilinear stationary Schrödinger equations with critical growth
Marco A. S. Souto and Sérgio H. M. Soares
2013, 12(1): 99-116 doi: 10.3934/cpaa.2013.12.99 +[Abstract](883) +[PDF](422.6KB)
A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component
Zujin Zhang
2013, 12(1): 117-124 doi: 10.3934/cpaa.2013.12.117 +[Abstract](1004) +[PDF](346.0KB)
A refined result on sign changing solutions for a critical elliptic problem
Yuxin Ge, Monica Musso, A. Pistoia and Daniel Pollack
2013, 12(1): 125-155 doi: 10.3934/cpaa.2013.12.125 +[Abstract](1087) +[PDF](547.8KB)
Existence theory for a Poisson-Nernst-Planck model of electrophoresis
L. Bedin and Mark Thompson
2013, 12(1): 157-206 doi: 10.3934/cpaa.2013.12.157 +[Abstract](990) +[PDF](712.0KB)
On the homogenization of some non-coercive Hamilton--Jacobi--Isaacs equations
Martino Bardi and Gabriele Terrone
2013, 12(1): 207-236 doi: 10.3934/cpaa.2013.12.207 +[Abstract](980) +[PDF](548.1KB)
The point-wise estimates of solutions for semi-linear dissipative wave equation
Yongqin Liu
2013, 12(1): 237-252 doi: 10.3934/cpaa.2013.12.237 +[Abstract](1019) +[PDF](418.4KB)
Behaviour of $p$--Laplacian problems with Neumann boundary conditions when $p$ goes to 1
Anna Mercaldo, Julio D. Rossi, Sergio Segura de León and Cristina Trombetti
2013, 12(1): 253-267 doi: 10.3934/cpaa.2013.12.253 +[Abstract](1053) +[PDF](408.3KB)
Gradient blowup solutions of a semilinear parabolic equation with exponential source
Zhengce Zhang and Yanyan Li
2013, 12(1): 269-280 doi: 10.3934/cpaa.2013.12.269 +[Abstract](1216) +[PDF](384.3KB)
On the structure of the global attractor for infinite-dimensional non-autonomous dynamical systems with weak convergence
Tomás Caraballo and David Cheban
2013, 12(1): 281-302 doi: 10.3934/cpaa.2013.12.281 +[Abstract](1263) +[PDF](491.8KB)
Clustered interior phase transition layers for an inhomogeneous Allen-Cahn equation in higher dimensional domains
Jun Yang and Xiaolin Yang
2013, 12(1): 303-340 doi: 10.3934/cpaa.2013.12.303 +[Abstract](1155) +[PDF](588.7KB)
Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows
Jihong Zhao, Qiao Liu and Shangbin Cui
2013, 12(1): 341-357 doi: 10.3934/cpaa.2013.12.341 +[Abstract](1316) +[PDF](439.8KB)
Spectral method for deriving multivariate Poisson summation formulae
Gusein Sh. Guseinov
2013, 12(1): 359-373 doi: 10.3934/cpaa.2013.12.359 +[Abstract](896) +[PDF](375.3KB)
Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction
Belkacem Said-Houari and Flávio A. Falcão Nascimento
2013, 12(1): 375-403 doi: 10.3934/cpaa.2013.12.375 +[Abstract](1272) +[PDF](505.0KB)
A biharmonic equation in $\mathbb{R}^4$ involving nonlinearities with critical exponential growth
Federica Sani
2013, 12(1): 405-428 doi: 10.3934/cpaa.2013.12.405 +[Abstract](1125) +[PDF](473.1KB)
Existence and multiplicity of semiclassical states for a quasilinear Schrödinger equation in $\mathbb{R}^N$
Minbo Yang and Yanheng Ding
2013, 12(1): 429-449 doi: 10.3934/cpaa.2013.12.429 +[Abstract](1306) +[PDF](450.1KB)
Multiplicity solutions for fully nonlinear equation involving nonlinearity with zeros
Xiaohui Yu
2013, 12(1): 451-459 doi: 10.3934/cpaa.2013.12.451 +[Abstract](932) +[PDF](370.4KB)
Global well-posedness in uniformly local spaces for the Cahn-Hilliard equation in $\mathbb{R}^3$
Sergey Zelik and Jon Pennant
2013, 12(1): 461-480 doi: 10.3934/cpaa.2013.12.461 +[Abstract](1226) +[PDF](486.2KB)
The effect of delay on a diffusive predator-prey system with Holling Type-II predator functional response
Shanshan Chen, Junping Shi and Junjie Wei
2013, 12(1): 481-501 doi: 10.3934/cpaa.2013.12.481 +[Abstract](1305) +[PDF](554.7KB)
Incompressible type euler as scaling limit of compressible Euler-Maxwell equations
Jianwei Yang, Ruxu Lian and Shu Wang
2013, 12(1): 503-518 doi: 10.3934/cpaa.2013.12.503 +[Abstract](1200) +[PDF](441.9KB)
Numerical study of a family of dissipative KdV equations
Jean-Paul Chehab and Georges Sadaka
2013, 12(1): 519-546 doi: 10.3934/cpaa.2013.12.519 +[Abstract](946) +[PDF](1743.3KB)
Resolvent estimates for a two-dimensional non-self-adjoint operator
Wen Deng
2013, 12(1): 547-596 doi: 10.3934/cpaa.2013.12.547 +[Abstract](1181) +[PDF](1001.7KB)
On a nonlocal isoperimetric problem on the two-sphere
Ihsan Topaloglu
2013, 12(1): 597-620 doi: 10.3934/cpaa.2013.12.597 +[Abstract](977) +[PDF](1610.6KB)

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