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Communications on Pure & Applied Analysis

March 2016 , Volume 15 , Issue 2

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On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems
Francesco Della Porta and Maurizio Grasselli
2016, 15(2): 299-317 doi: 10.3934/cpaa.2016.15.299 +[Abstract](1070) +[PDF](488.4KB)
Traveling wave solutions of a reaction-diffusion equation with state-dependent delay
Guo Lin and Haiyan Wang
2016, 15(2): 319-334 doi: 10.3934/cpaa.2016.15.319 +[Abstract](1063) +[PDF](386.5KB)
Remarks on weak solutions of fractional elliptic equations
Wanwan Wang, Hongxia Zhang and Huyuan Chen
2016, 15(2): 335-340 doi: 10.3934/cpaa.2016.15.335 +[Abstract](996) +[PDF](352.7KB)
The stability of nonlinear Schrödinger equations with a potential in high Sobolev norms revisited
Myeongju Chae and Soonsik Kwon
2016, 15(2): 341-365 doi: 10.3934/cpaa.2016.15.341 +[Abstract](945) +[PDF](529.6KB)
Optimal Szegö-Weinberger type inequalities
Friedemann Brock, Francesco Chiacchio and Giuseppina di Blasio
2016, 15(2): 367-383 doi: 10.3934/cpaa.2016.15.367 +[Abstract](1028) +[PDF](456.3KB)
Existence and nonexistence of positive solutions to an integral system involving Wolff potential
Wu Chen and Zhongxue Lu
2016, 15(2): 385-398 doi: 10.3934/cpaa.2016.15.385 +[Abstract](936) +[PDF](396.4KB)
Boundary value problems for a semilinear elliptic equation with singular nonlinearity
Zongming Guo and Yunting Yu
2016, 15(2): 399-412 doi: 10.3934/cpaa.2016.15.399 +[Abstract](890) +[PDF](337.6KB)
Multi-bump positive solutions of a fractional nonlinear Schrödinger equation in $\mathbb{R}^N$
Weiming Liu and Lu Gan
2016, 15(2): 413-428 doi: 10.3934/cpaa.2016.15.413 +[Abstract](938) +[PDF](418.1KB)
Schrödinger-Kirchhoff-Poisson type systems
Cyril Joel Batkam and João R. Santos Júnior
2016, 15(2): 429-444 doi: 10.3934/cpaa.2016.15.429 +[Abstract](1064) +[PDF](442.4KB)
Positive solution for the Kirchhoff-type equations involving general subcritical growth
Jiu Liu, Jia-Feng Liao and Chun-Lei Tang
2016, 15(2): 445-455 doi: 10.3934/cpaa.2016.15.445 +[Abstract](863) +[PDF](350.3KB)
Competing interactions and traveling wave solutions in lattice differential equations
E. S. Van Vleck and Aijun Zhang
2016, 15(2): 457-475 doi: 10.3934/cpaa.2016.15.457 +[Abstract](783) +[PDF](438.6KB)
One dimensional $p$-th power Newtonian fluid with temperature-dependent thermal conductivity
Tao Wang
2016, 15(2): 477-494 doi: 10.3934/cpaa.2016.15.477 +[Abstract](1034) +[PDF](454.8KB)
Reaction-Diffusion equations with spatially variable exponents and large diffusion
Jacson Simsen, Mariza Stefanello Simsen and Marcos Roberto Teixeira Primo
2016, 15(2): 495-506 doi: 10.3934/cpaa.2016.15.495 +[Abstract](925) +[PDF](407.2KB)
Local regularity of the magnetohydrodynamics equations near the curved boundary
Jae-Myoung  Kim
2016, 15(2): 507-517 doi: 10.3934/cpaa.2016.15.507 +[Abstract](878) +[PDF](358.2KB)
Uniqueness of solutions for elliptic systems and fourth order equations involving a parameter
Craig Cowan
2016, 15(2): 519-533 doi: 10.3934/cpaa.2016.15.519 +[Abstract](931) +[PDF](397.5KB)
Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well
César E. Torres Ledesma
2016, 15(2): 535-547 doi: 10.3934/cpaa.2016.15.535 +[Abstract](900) +[PDF](406.1KB)
Elliptic systems with boundary blow-up: existence, uniqueness and applications to removability of singularities
Jorge García-Melián, Julio D. Rossi and José C. Sabina de Lis
2016, 15(2): 549-562 doi: 10.3934/cpaa.2016.15.549 +[Abstract](813) +[PDF](410.1KB)
Concentration of solutions for the fractional Nirenberg problem
Zhongyuan Liu
2016, 15(2): 563-576 doi: 10.3934/cpaa.2016.15.563 +[Abstract](858) +[PDF](415.2KB)
Center problem for systems with two monomial nonlinearities
Armengol Gasull, Jaume Giné and Joan Torregrosa
2016, 15(2): 577-598 doi: 10.3934/cpaa.2016.15.577 +[Abstract](750) +[PDF](493.3KB)
Existence and concentration of semiclassical solutions for Hamiltonian elliptic system
Jian Zhang, Wen Zhang and Xiaoliang Xie
2016, 15(2): 599-622 doi: 10.3934/cpaa.2016.15.599 +[Abstract](885) +[PDF](502.0KB)
Non-sharp travelling waves for a dual porous medium equation
Jing Li, Yifu Wang and Jingxue Yin
2016, 15(2): 623-636 doi: 10.3934/cpaa.2016.15.623 +[Abstract](919) +[PDF](510.3KB)
Asymptotic analysis of a spatially and size-structured population model with delayed birth process
Dongxue Yan and Xianlong Fu
2016, 15(2): 637-655 doi: 10.3934/cpaa.2016.15.637 +[Abstract](893) +[PDF](467.5KB)
Some observations on the Green function for the ball in the fractional Laplace framework
Claudia Bucur
2016, 15(2): 657-699 doi: 10.3934/cpaa.2016.15.657 +[Abstract](1092) +[PDF](678.1KB)

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