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Communications on Pure & Applied Analysis

March 2018 , Volume 17 , Issue 2

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Beltrami equations in the plane and Sobolev regularity
Martí Prats
2018, 17(2): 319-332 doi: 10.3934/cpaa.2018018 +[Abstract](1203) +[HTML](165) +[PDF](413.34KB)
Biharmonic systems involving multiple Rellich-type potentials and critical Rellich-Sobolev nonlinearities
Dongsheng Kang and Liangshun Xu
2018, 17(2): 333-346 doi: 10.3934/cpaa.2018019 +[Abstract](921) +[HTML](165) +[PDF](363.84KB)
Global existence and decay estimate of classical solutions to the compressible viscoelastic flows with self-gravitating
Yinxia Wang and Hengjun Zhao
2018, 17(2): 347-374 doi: 10.3934/cpaa.2018020 +[Abstract](935) +[HTML](137) +[PDF](502.86KB)
Pattern formation of a diffusive eco-epidemiological model with predator-prey interaction
Wonlyul Ko and Inkyung Ahn
2018, 17(2): 375-389 doi: 10.3934/cpaa.2018021 +[Abstract](1064) +[HTML](233) +[PDF](409.22KB)
The asymptotic limits of solutions to the Riemann problem for the scaled Leroux system
Chun Shen, Wancheng Sheng and Meina Sun
2018, 17(2): 391-411 doi: 10.3934/cpaa.2018022 +[Abstract](1174) +[HTML](127) +[PDF](446.34KB)
The regularity of some vector-valued variational inequalities with gradient constraints
Mohammad Safdari
2018, 17(2): 413-428 doi: 10.3934/cpaa.2018023 +[Abstract](756) +[HTML](114) +[PDF](383.45KB)
Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model
Caterina Calgaro, Meriem Ezzoug and Ezzeddine Zahrouni
2018, 17(2): 429-448 doi: 10.3934/cpaa.2018024 +[Abstract](892) +[HTML](126) +[PDF](492.2KB)
On the effect of higher order derivatives of initial data on the blow-up set for a semilinear heat equation
Yohei Fujishima
2018, 17(2): 449-475 doi: 10.3934/cpaa.2018025 +[Abstract](906) +[HTML](150) +[PDF](520.77KB)
Nonexistence of nonconstant positive steady states of a diffusive predator-prey model
Shanshan Chen
2018, 17(2): 477-485 doi: 10.3934/cpaa.2018026 +[Abstract](1022) +[HTML](107) +[PDF](326.58KB)
Sharp well-posedness of the Cauchy problem for the fourth order nonlinear Schrödinger equation
Yuanyuan Ren, Yongsheng Li and Wei Yan
2018, 17(2): 487-504 doi: 10.3934/cpaa.2018027 +[Abstract](992) +[HTML](113) +[PDF](440.27KB)
The global well-posedness of the kinetic Cucker-Smale flocking model with chemotactic movements
Chiun-Chuan Chen, Seung-Yeal Ha and Xiongtao Zhang
2018, 17(2): 505-538 doi: 10.3934/cpaa.2018028 +[Abstract](1226) +[HTML](123) +[PDF](524.91KB)
Subsonic irrotational inviscid flow around certain bodies with two protruding corners
Volker Elling
2018, 17(2): 539-555 doi: 10.3934/cpaa.2018029 +[Abstract](798) +[HTML](147) +[PDF](566.14KB)
On the existence and computation of periodic travelling waves for a 2D water wave model
José Raúl Quintero and Juan Carlos Muñoz Grajales
2018, 17(2): 557-578 doi: 10.3934/cpaa.2018030 +[Abstract](1024) +[HTML](152) +[PDF](716.7KB)
On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption
Igor Pažanin and Marcone C. Pereira
2018, 17(2): 579-592 doi: 10.3934/cpaa.2018031 +[Abstract](1099) +[HTML](124) +[PDF](471.21KB)
Global existence for a coupled wave system related to the Strauss conjecture
Jason Metcalfe and David Spencer
2018, 17(2): 593-604 doi: 10.3934/cpaa.2018032 +[Abstract](1038) +[HTML](113) +[PDF](455.15KB)
Positive solutions for Kirchhoff-Schrödinger-Poisson systems with general nonlinearity
Dengfeng Lü
2018, 17(2): 605-626 doi: 10.3934/cpaa.2018033 +[Abstract](1124) +[HTML](189) +[PDF](499.84KB)
A decomposition for the Schrödinger equation with applications to bilinear and multilinear estimates
Felipe Hernandez
2018, 17(2): 627-646 doi: 10.3934/cpaa.2018034 +[Abstract](902) +[HTML](115) +[PDF](440.33KB)
Approximation of a nonlinear fractal energy functional on varying Hilbert spaces
Simone Creo, Maria Rosaria Lancia, Alejandro Vélez-Santiago and Paola Vernole
2018, 17(2): 647-669 doi: 10.3934/cpaa.2018035 +[Abstract](1043) +[HTML](111) +[PDF](580.81KB)
Convergent approximation of non-continuous surfaces of prescribed Gaussian curvature
Brittany Froese Hamfeldt
2018, 17(2): 671-707 doi: 10.3934/cpaa.2018036 +[Abstract](1179) +[HTML](109) +[PDF](701.0KB)
On the nonlocal curvatures of surfaces with or without boundary
Roberto Paroni, Podio-Guidugli Paolo and Brian Seguin
2018, 17(2): 709-727 doi: 10.3934/cpaa.2018037 +[Abstract](927) +[HTML](138) +[PDF](514.83KB)

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