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Communications on Pure & Applied Analysis

November 2010 , Volume 9 , Issue 6

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Global in time solution and time-periodicity for a smectic-A liquid crystal model
Blanca Climent-Ezquerra and Francisco Guillén-González
2010, 9(6): 1473-1493 doi: 10.3934/cpaa.2010.9.1473 +[Abstract](851) +[PDF](255.1KB)
Elastic Herglotz functions in the plane
J. A. Barceló, M. Folch-Gabayet, S. Pérez-Esteva, A. Ruiz and M. C. Vilela
2010, 9(6): 1495-1505 doi: 10.3934/cpaa.2010.9.1495 +[Abstract](889) +[PDF](193.6KB)
Positive solutions and bifurcation phenomena for nonlinear elliptic equations of logistic type: The superdiffusive case
Michael E. Filippakis, Donal O'Regan and Nikolaos S. Papageorgiou
2010, 9(6): 1507-1527 doi: 10.3934/cpaa.2010.9.1507 +[Abstract](723) +[PDF](270.2KB)
Multiplicity results for periodic solutions to a class of second order delay differential equations
Zhiming Guo and Xiaomin Zhang
2010, 9(6): 1529-1542 doi: 10.3934/cpaa.2010.9.1529 +[Abstract](950) +[PDF](183.8KB)
On viscoelastic wave equation with nonlinear boundary damping and source term
Tae Gab Ha
2010, 9(6): 1543-1576 doi: 10.3934/cpaa.2010.9.1543 +[Abstract](969) +[PDF](335.1KB)
Quasi-neutral limit of the two-fluid Euler-Poisson system
Qiangchang Ju, Hailiang Li, Yong Li and Song Jiang
2010, 9(6): 1577-1590 doi: 10.3934/cpaa.2010.9.1577 +[Abstract](1009) +[PDF](182.9KB)
Global wellposedness and blowup of solutions to a nonlocal evolution problem with singular kernels
Dong Li and Xiaoyi Zhang
2010, 9(6): 1591-1606 doi: 10.3934/cpaa.2010.9.1591 +[Abstract](813) +[PDF](223.4KB)
Structure of the set of bounded solutions for a class of nonautonomous second order differential equations
Yuan Guo, Xiaofei Gao and Desheng Li
2010, 9(6): 1607-1616 doi: 10.3934/cpaa.2010.9.1607 +[Abstract](800) +[PDF](167.0KB)
Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
Andrea L. Bertozzi and Dejan Slepcev
2010, 9(6): 1617-1637 doi: 10.3934/cpaa.2010.9.1617 +[Abstract](1170) +[PDF](276.2KB)
Global dynamics of the periodic un-stirred chemostat with a toxin-producing competitor
Yifu Wang and Jingxue Yin
2010, 9(6): 1639-1651 doi: 10.3934/cpaa.2010.9.1639 +[Abstract](803) +[PDF](183.6KB)
On the upper semicontinuity of pullback attractors with applications to plate equations
Yonghai Wang
2010, 9(6): 1653-1673 doi: 10.3934/cpaa.2010.9.1653 +[Abstract](1089) +[PDF](274.4KB)
Multiplicity of positive solutions for a semilinear elliptic equation in $R_+^N$ with nonlinear boundary condition
Tsung-Fang Wu
2010, 9(6): 1675-1696 doi: 10.3934/cpaa.2010.9.1675 +[Abstract](923) +[PDF](251.6KB)
Regularity criteria of strong solutions to a problem of magneto-elastic interactions
Yong Zhou and Jishan Fan
2010, 9(6): 1697-1704 doi: 10.3934/cpaa.2010.9.1697 +[Abstract](797) +[PDF](140.7KB)
Asymptotic behavior and existence results for a biharmonic equation involving the critical Sobolev exponent in a five-dimensional domain
M. Ben Ayed and Abdelbaki Selmi
2010, 9(6): 1705-1722 doi: 10.3934/cpaa.2010.9.1705 +[Abstract](831) +[PDF](238.0KB)
A sharp decay estimate for nonlinear Schrödinger equations with vanishing potentials
Yongsheng Jiang and Huan-Song Zhou
2010, 9(6): 1723-1730 doi: 10.3934/cpaa.2010.9.1723 +[Abstract](739) +[PDF](196.8KB)
On the shape of the least-energy solutions to some singularly perturbed mixed problems
Luigi Montoro
2010, 9(6): 1731-1752 doi: 10.3934/cpaa.2010.9.1731 +[Abstract](813) +[PDF](1470.2KB)
$\sum $-convergence and reiterated homogenization of nonlinear parabolic operators
Jean Louis Woukeng
2010, 9(6): 1753-1789 doi: 10.3934/cpaa.2010.9.1753 +[Abstract](896) +[PDF](453.7KB)

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