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Communications on Pure & Applied Analysis

May 2018 , Volume 17 , Issue 3

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Random attractors for stochastic parabolic equations with additive noise in weighted spaces
Xiaojun Li, Xiliang Li and Kening Lu
2018, 17(3): 729-749 doi: 10.3934/cpaa.2018038 +[Abstract](1950) +[HTML](396) +[PDF](462.14KB)
Existence results for linear evolution equations of parabolic type
Tôn Việt Tạ
2018, 17(3): 751-785 doi: 10.3934/cpaa.2018039 +[Abstract](1563) +[HTML](377) +[PDF](504.53KB)
Symmetry and asymptotic behavior of ground state solutions for schrödinger systems with linear interaction
Zhitao Zhang and Haijun Luo
2018, 17(3): 787-806 doi: 10.3934/cpaa.2018040 +[Abstract](1716) +[HTML](359) +[PDF](480.5KB)
Symmetry and non-existence of solutions to an integral system
Yingshu Lü
2018, 17(3): 807-821 doi: 10.3934/cpaa.2018041 +[Abstract](1038) +[HTML](238) +[PDF](385.33KB)
The approximate solution for Benjamin-Bona-Mahony equation under slowly varying medium
Wenxia Chen, Ping Yang, Weiwei Gao and Lixin Tian
2018, 17(3): 823-848 doi: 10.3934/cpaa.2018042 +[Abstract](916) +[HTML](318) +[PDF](413.61KB)
Existence results for the fractional Q-curvature problem on three dimensional CR sphere
Chungen Liu and Yafang Wang
2018, 17(3): 849-885 doi: 10.3934/cpaa.2018043 +[Abstract](1045) +[HTML](281) +[PDF](581.12KB)
Regularity of extremal solutions of semilinaer fourth-order elliptic problems with general nonlinearities
A. Aghajani and S. F. Mottaghi
2018, 17(3): 887-898 doi: 10.3934/cpaa.2018044 +[Abstract](1052) +[HTML](264) +[PDF](403.45KB)
Positive powers of the Laplacian: From hypersingular integrals to boundary value problems
Nicola Abatangelo, Sven Jarohs and Alberto Saldaña
2018, 17(3): 899-922 doi: 10.3934/cpaa.2018045 +[Abstract](1094) +[HTML](235) +[PDF](456.46KB)
Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
Shou-Fu Tian
2018, 17(3): 923-957 doi: 10.3934/cpaa.2018046 +[Abstract](1498) +[HTML](298) +[PDF](546.2KB)
Stability of traveling waves of models for image processing with non-convex nonlinearity
Tong Li and Jeungeun Park
2018, 17(3): 959-985 doi: 10.3934/cpaa.2018047 +[Abstract](1008) +[HTML](260) +[PDF](514.38KB)
Non-existence of global solutions to nonlinear wave equations with positive initial energy
Bilgesu A. Bilgin and Varga K. Kalantarov
2018, 17(3): 987-999 doi: 10.3934/cpaa.2018048 +[Abstract](1258) +[HTML](296) +[PDF](401.74KB)
A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity
Elena Bonetti, Pierluigi Colli, Luca Scarpa and Giuseppe Tomassetti
2018, 17(3): 1001-1022 doi: 10.3934/cpaa.2018049 +[Abstract](1083) +[HTML](256) +[PDF](478.4KB)
Spaces admissible for the Sturm-Liouville equation
N. A. Chernyavskaya and L. A. Shuster
2018, 17(3): 1023-1052 doi: 10.3934/cpaa.2018050 +[Abstract](828) +[HTML](268) +[PDF](557.91KB)
Symmetry and nonexistence of positive solutions for fractional systems
Pei Ma, Yan Li and Jihui Zhang
2018, 17(3): 1053-1070 doi: 10.3934/cpaa.2018051 +[Abstract](1237) +[HTML](290) +[PDF](431.63KB)
Scattering for the two dimensional NLS with (full) exponential nonlinearity
A. Adam Azzam
2018, 17(3): 1071-1101 doi: 10.3934/cpaa.2018052 +[Abstract](1010) +[HTML](261) +[PDF](569.46KB)
A nonlocal concave-convex problem with nonlocal mixed boundary data
Boumediene Abdellaoui, Abdelrazek Dieb and Enrico Valdinoci
2018, 17(3): 1103-1120 doi: 10.3934/cpaa.2018053 +[Abstract](1178) +[HTML](289) +[PDF](449.81KB)
Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth
Yanfang Xue and Chunlei Tang
2018, 17(3): 1121-1145 doi: 10.3934/cpaa.2018054 +[Abstract](1765) +[HTML](337) +[PDF](477.73KB)
Sign-changing solutions for non-local elliptic equations with asymptotically linear term
Huxiao Luo, Xianhua Tang and Zu Gao
2018, 17(3): 1147-1159 doi: 10.3934/cpaa.2018055 +[Abstract](1523) +[HTML](360) +[PDF](402.11KB)
Nonlocal heat equations: Regularizing effect, decay estimates and Nash inequalities
Cristina Brändle and Arturo De Pablo
2018, 17(3): 1161-1178 doi: 10.3934/cpaa.2018056 +[Abstract](1185) +[HTML](404) +[PDF](640.36KB)
Traveling wave solutions of a diffusive ratio-dependent Holling-Tanner system with distributed delay
Wenjie Zuo and Junping Shi
2018, 17(3): 1179-1200 doi: 10.3934/cpaa.2018057 +[Abstract](1159) +[HTML](288) +[PDF](492.02KB)
Multiplicity and concentration of solutions for nonlinear fractional elliptic equations with steep potential
Song Peng and Aliang Xia
2018, 17(3): 1201-1217 doi: 10.3934/cpaa.2018058 +[Abstract](1445) +[HTML](370) +[PDF](446.83KB)
Remarks on minimizers for (p, q)-Laplace equations with two parameters
Vladimir Bobkov and Mieko Tanaka
2018, 17(3): 1219-1253 doi: 10.3934/cpaa.2018059 +[Abstract](1013) +[HTML](402) +[PDF](669.72KB)
A loop type component in the non-negative solutions set of an indefinite elliptic problem
Humberto Ramos Quoirin and Kenichiro Umezu
2018, 17(3): 1255-1269 doi: 10.3934/cpaa.2018060 +[Abstract](1436) +[HTML](341) +[PDF](417.1KB)
Exact multiplicity and bifurcation curves of positive solutions of a one-dimensional Minkowski-curvature problem and its application
Shao-Yuan Huang
2018, 17(3): 1271-1294 doi: 10.3934/cpaa.2018061 +[Abstract](1328) +[HTML](326) +[PDF](1477.52KB)
Bifurcation and multiplicity results for a class of $n\times n$ $p$-Laplacian system
Mohan Mallick, R. Shivaji, Byungjae Son and S. Sundar
2018, 17(3): 1295-1304 doi: 10.3934/cpaa.2018062 +[Abstract](1278) +[HTML](282) +[PDF](464.44KB)
Cyclicity of degenerate graphic $DF_{2a}$ of Dumortier-Roussarie-Rousseau program
Renato Huzak
2018, 17(3): 1305-1316 doi: 10.3934/cpaa.2018063 +[Abstract](1104) +[HTML](275) +[PDF](751.69KB)

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