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Communications on Pure & Applied Analysis

September 2012 , Volume 11 , Issue 5

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Lie groups related to Hörmander operators and Kolmogorov-Fokker-Planck equations
Andrea Bonfiglioli and Ermanno Lanconelli
2012, 11(5): 1587-1614 doi: 10.3934/cpaa.2012.11.1587 +[Abstract](1077) +[PDF](602.5KB)
Positive solutions of a fourth-order boundary value problem involving derivatives of all orders
Zhilin Yang and Jingxian Sun
2012, 11(5): 1615-1628 doi: 10.3934/cpaa.2012.11.1615 +[Abstract](804) +[PDF](400.5KB)
Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
Pablo L. De Nápoli, Irene Drelichman and Ricardo G. Durán
2012, 11(5): 1629-1642 doi: 10.3934/cpaa.2012.11.1629 +[Abstract](849) +[PDF](374.6KB)
Regularizing rate estimates for mild solutions of the incompressible Magneto-hydrodynamic system
Qiao Liu and Shangbin Cui
2012, 11(5): 1643-1660 doi: 10.3934/cpaa.2012.11.1643 +[Abstract](751) +[PDF](476.7KB)
A class of large amplitude oscillating solutions for three dimensional Euler equations
Christophe Cheverry and Mekki Houbad
2012, 11(5): 1661-1697 doi: 10.3934/cpaa.2012.11.1661 +[Abstract](829) +[PDF](725.1KB)
Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal
Georg Hetzer, Tung Nguyen and Wenxian Shen
2012, 11(5): 1699-1722 doi: 10.3934/cpaa.2012.11.1699 +[Abstract](1225) +[PDF](455.2KB)
Generalized and weighted Strichartz estimates
Jin-Cheng Jiang, Chengbo Wang and Xin Yu
2012, 11(5): 1723-1752 doi: 10.3934/cpaa.2012.11.1723 +[Abstract](981) +[PDF](632.2KB)
Instability of coupled systems with delay
Reinhard Racke
2012, 11(5): 1753-1773 doi: 10.3934/cpaa.2012.11.1753 +[Abstract](1173) +[PDF](502.5KB)
Stability of stationary waves for full Euler-Poisson system in multi-dimensional space
Ming Mei and Yong Wang
2012, 11(5): 1775-1807 doi: 10.3934/cpaa.2012.11.1775 +[Abstract](976) +[PDF](545.4KB)
On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion
Xinwei Yu and Zhichun Zhai
2012, 11(5): 1809-1823 doi: 10.3934/cpaa.2012.11.1809 +[Abstract](1197) +[PDF](402.9KB)
Existence and uniqueness of positive solution to a non-local differential equation with homogeneous Dirichlet boundary condition---A non-monotone case
Zhiming Guo, Zhi-Chun Yang and Xingfu Zou
2012, 11(5): 1825-1838 doi: 10.3934/cpaa.2012.11.1825 +[Abstract](1061) +[PDF](355.7KB)
Collocation methods for differential equations with piecewise linear delays
Hui Liang and Hermann Brunner
2012, 11(5): 1839-1857 doi: 10.3934/cpaa.2012.11.1839 +[Abstract](972) +[PDF](420.1KB)
On a singular Hamiltonian elliptic systems involving critical growth in dimension two
Manassés de Souza
2012, 11(5): 1859-1874 doi: 10.3934/cpaa.2012.11.1859 +[Abstract](844) +[PDF](417.6KB)
Elliptic equations having a singular quadratic gradient term and a changing sign datum
Daniela Giachetti, Francesco Petitta and Sergio Segura de León
2012, 11(5): 1875-1895 doi: 10.3934/cpaa.2012.11.1875 +[Abstract](908) +[PDF](461.5KB)
Local maximum principle for $L^p$-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients
Shigeaki Koike and Andrzej Świech
2012, 11(5): 1897-1910 doi: 10.3934/cpaa.2012.11.1897 +[Abstract](1042) +[PDF](410.8KB)
On the characteristic curvature operator
Vittorio Martino
2012, 11(5): 1911-1922 doi: 10.3934/cpaa.2012.11.1911 +[Abstract](983) +[PDF](352.3KB)
Global well-posedness and scattering for Skyrme wave maps
Dan-Andrei Geba, Kenji Nakanishi and Sarada G. Rajeev
2012, 11(5): 1923-1933 doi: 10.3934/cpaa.2012.11.1923 +[Abstract](885) +[PDF](383.7KB)
Symmetries and blow-up phenomena for a Dirichlet problem with a large parameter
Pierpaolo Esposito and Maristella Petralla
2012, 11(5): 1935-1957 doi: 10.3934/cpaa.2012.11.1935 +[Abstract](781) +[PDF](517.2KB)
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system
Giacomo Canevari and Pierluigi Colli
2012, 11(5): 1959-1982 doi: 10.3934/cpaa.2012.11.1959 +[Abstract](744) +[PDF](494.5KB)
A pointwise gradient estimate for solutions of singular and degenerate pde's in possibly unbounded domains with nonnegative mean curvature
Diego Castellaneta, Alberto Farina and Enrico Valdinoci
2012, 11(5): 1983-2003 doi: 10.3934/cpaa.2012.11.1983 +[Abstract](1164) +[PDF](517.6KB)
Double resonance for Dirichlet problems with unbounded indefinite potential and combined nonlinearities
Shouchuan Hu and Nikolaos S. Papageorgiou
2012, 11(5): 2005-2021 doi: 10.3934/cpaa.2012.11.2005 +[Abstract](903) +[PDF](408.4KB)
Evaluating cyclicity of cubic systems with algorithms of computational algebra
Viktor Levandovskyy, Gerhard Pfister and Valery G. Romanovski
2012, 11(5): 2023-2035 doi: 10.3934/cpaa.2012.11.2023 +[Abstract](1018) +[PDF](423.7KB)
Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities
Varga K. Kalantarov and Sergey Zelik
2012, 11(5): 2037-2054 doi: 10.3934/cpaa.2012.11.2037 +[Abstract](965) +[PDF](456.4KB)
On singular Navier-Stokes equations and irreversible phase transitions
José Luiz Boldrini, Luís H. de Miranda and Gabriela Planas
2012, 11(5): 2055-2078 doi: 10.3934/cpaa.2012.11.2055 +[Abstract](737) +[PDF](857.0KB)
An abstract existence theorem for parabolic systems
Hans Wilhelm Alt
2012, 11(5): 2079-2123 doi: 10.3934/cpaa.2012.11.2079 +[Abstract](779) +[PDF](495.6KB)
Macrotransport in nonlinear, reactive, shear flows
Eric S. Wright
2012, 11(5): 2125-2146 doi: 10.3934/cpaa.2012.11.2125 +[Abstract](715) +[PDF](417.9KB)
Blow-up for the heat equation with a general memory boundary condition
Keng Deng and Zhihua Dong
2012, 11(5): 2147-2156 doi: 10.3934/cpaa.2012.11.2147 +[Abstract](1068) +[PDF](320.8KB)
Neuronal Fiber--tracking via optimal mass transportation
A. Daducci, A. Marigonda, G. Orlandi and R. Posenato
2012, 11(5): 2157-2177 doi: 10.3934/cpaa.2012.11.2157 +[Abstract](890) +[PDF](1071.6KB)

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