# zbMATH — the first resource for mathematics

## Journal of Partial Differential Equations

 Short Title: J. Partial Differ. Equations Publisher: International Academic Publishers, Beijing; Zhengzhou University, Henan; published electronically by Global-Science Press starting from 2008 ISSN: 1000-940X; 2079-732X/e Online: http://www.global-sci.org/jpde/ Predecessor: Journal of Partial Differential Equations. Series AJournal of Partial Differential Equations. Series B Comments: Indexed cover-to-cover
 Documents Indexed: 857 Publications (since 1989)
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#### Latest Issues

 33, No. 4 (2020) 33, No. 3 (2020) 33, No. 2 (2020) 33, No. 1 (2020) 32, No. 4 (2019) 32, No. 3 (2019) 32, No. 2 (2019) 32, No. 1 (2019) 31, No. 4 (2018) 31, No. 3 (2018) 31, No. 2 (2018) 31, No. 1 (2018) 30, No. 4 (2017) 30, No. 3 (2017) 30, No. 2 (2017) 30, No. 1 (2017) 29, No. 4 (2016) 29, No. 3 (2016) 29, No. 2 (2016) 29, No. 1 (2016) 28, No. 4 (2015) 28, No. 3 (2015) 28, No. 2 (2015) 28, No. 1 (2015) 27, No. 4 (2014) 27, No. 3 (2014) 27, No. 2 (2014) 27, No. 1 (2014) 26, No. 4 (2013) 26, No. 3 (2013) 26, No. 2 (2013) 26, No. 1 (2013) 25, No. 4 (2012) 25, No. 3 (2012) 25, No. 2 (2012) 25, No. 1 (2012) 24, No. 4 (2011) 24, No. 3 (2011) 24, No. 2 (2011) 24, No. 1 (2011) 23, No. 4 (2010) 23, No. 3 (2010) 23, No. 2 (2010) 23, No. 1 (2010) 22, No. 4 (2009) 22, No. 3 (2009) 22, No. 2 (2009) 22, No. 1 (2009) 21, No. 4 (2008) 21, No. 3 (2008) 21, No. 2 (2008) 21, No. 1 (2008) 20, No. 4 (2007) 20, No. 3 (2007) 20, No. 2 (2007) 20, No. 1 (2007) 19, No. 4 (2006) 19, No. 3 (2006) 19, No. 2 (2006) 19, No. 1 (2006) 18, No. 4 (2005) 18, No. 3 (2005) 18, No. 2 (2005) 18, No. 1 (2005) 17, No. 4 (2004) 17, No. 3 (2004) 17, No. 2 (2004) 17, No. 1 (2004) 16, No. 4 (2003) 16, No. 3 (2003) 16, No. 2 (2003) 16, No. 1 (2003) 15, No. 4 (2002) 15, No. 3 (2002) 15, No. 2 (2002) 15, No. 1 (2002) 14, No. 4 (2001) 14, No. 3 (2001) 14, No. 2 (2001) 14, No. 1 (2001) 13, No. 4 (2000) 13, No. 3 (2000) 13, No. 2 (2000) 13, No. 1 (2000) 12, No. 4 (1999) 12, No. 3 (1999) 12, No. 2 (1999) 12, No. 1 (1999) 11, No. 4 (1998) 11, No. 3 (1998) 11, No. 2 (1998) 11, No. 1 (1998) 10, No. 4 (1997) 10, No. 3 (1997) 10, No. 2 (1997) 10, No. 1 (1997) 9, No. 4 (1996) 9, No. 3 (1996) 9, No. 2 (1996) 9, No. 1 (1996) ...and 26 more Volumes
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#### Authors

 49 Guo, Boling 11 Niu, Pengcheng 11 Yin, Jingxue 11 Yuan, Hongjun 9 Miao, Changxing 9 Sun, Hesheng 9 Yuan, Guangwei 9 Zhou, Shulin 9 Zhou, Yulin 8 Ding, Shijin 8 Ding, Weiyue 8 Wu, Shaohua 7 Han, Yongqian 7 Li, Jiayu 7 Li, Zhi 7 Wang, Shu 7 Zayed, Elsayed M. E. 7 Zhang, Linghai 7 Zhao, Junning 6 Chen, Zuchi 6 Li, Kaitai 6 Liang, Jin 6 Lin, Longwei 6 Luo, Xuebo 5 Bao, Jiguang 5 Chen, Hua 5 Dai, Zhengde 5 Guo, Zongming 5 Hong, Jiaxing 5 Jiang, Lishang 5 Li, Tatsien 5 Lin, Fang Hua 5 Tan, Shao Bin 5 Wang, Youde 5 Xu, Liping 5 Yang, Xiaoping 5 Yang, Xinguang 5 Zhang, Zhengce 4 Chen, Yazhe 4 Fang, Daoyuan 4 Gao, Hongjun 4 Ham, YoonMee 4 Kang, Zhouzheng 4 Li, Hailiang 4 Li, Zhengyuan 4 Qin, Yuming 4 Shen, Longjun 4 Su, Fengqiu 4 Wang, Guanglie 4 Wang, Mingxin 4 Wang, Yuanming 4 Wei, Gongming 4 Yi, Fahuai 4 Yu, Wanghui 4 Yuan, Junli 4 Zhou, Yi 3 Akdim, Youssef 3 Bai, Donghua 3 Bian, Baojun 3 Chen, Qingyi 3 Dong, Boqing 3 Fang, Shaomei 3 Feng, Xueshang 3 Fu, Yiping 3 Gu, Yonggeng 3 Hakem, Ali 3 Han, Junqiang 3 Huan, Zhongdan 3 Lei, Yutian 3 Li, Yongsheng 3 Lian, Songzhe 3 Liu, Fagui 3 Liu, Jijun 3 Liu, Zuhan 3 Messaoudi, Salim A. 3 Ouaro, Stanislas 3 Pan, Ronghua 3 Qin, Tiehu 3 Redwane, Hicham 3 Shang, Yadong 3 Shen, Weixi 3 Wang, Jinghua 3 Wang, Lihe 3 Wang, Xu-Jia 3 Wu, Zhuoqun 3 Xiao, Ling 3 Yang, Linge 3 Yang, Yunyan 3 Yang, Zuodong 3 Yin, Hongming 3 Zhang, Jian 3 Zhang, Kewei 3 Zhao, Chunshan 3 Zhao, Huijiang 3 Zhao, Peibiao 3 Zhou, Li 3 Zhu, Changjiang 3 Zhu, Xiaobao 2 Abdullaev, Obidjon Khayrullayevich 2 Alurrfi, Khaled A. E. ...and 777 more Authors
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#### Fields

 786 Partial differential equations (35-XX) 85 Fluid mechanics (76-XX) 45 Global analysis, analysis on manifolds (58-XX) 42 Dynamical systems and ergodic theory (37-XX) 32 Differential geometry (53-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 28 Biology and other natural sciences (92-XX) 25 Numerical analysis (65-XX) 24 Operator theory (47-XX) 21 Integral equations (45-XX) 18 Mechanics of deformable solids (74-XX) 15 Functional analysis (46-XX) 13 Probability theory and stochastic processes (60-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Real functions (26-XX) 8 Ordinary differential equations (34-XX) 7 Abstract harmonic analysis (43-XX) 6 History and biography (01-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Optics, electromagnetic theory (78-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 Topological groups, Lie groups (22-XX) 3 Potential theory (31-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

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350 Publications have been cited 1,560 times in 1,467 Documents Cited by Year
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2006
Moser-Trudinger inequality on compact Riemannian manifolds of dimension two. Zbl 0995.58021
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2001
Static and dynamic theories of liquid crystals. Zbl 1433.82014
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2001
Positive solutions of $$\Delta u+u^{(n+2)/(n-2)}=0$$ on contractible domains. Zbl 0694.35067
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1989
Cauchy problem for semilinear wave equations in four space dimensions with small initial data. Zbl 0836.35099
Zhou, Yi
1995
The existence of global solutions to a fluid dynamic model for materials for Korteweg type. Zbl 0881.35095
Hattori, Harumi; Li, Dening
1996
Blow up of classical solutions to $$\square u=| u|^{1+\alpha}$$ in three space dimensions. Zbl 0777.35013
Zhou, Yi
1992
Viscous boundary layers and their stability. I. Zbl 0906.35057
Xin, Zhouping
1998
The Cauchy problem of the Hartree equation. Zbl 1174.35099
Miao, Changxing; Xu, Guixiang; Zhao, Lifeng
2008
The quasilinear elliptic equation on unbounded domain involving critical Sobolev exponent. Zbl 0694.35062
Zhu, Xiping; Yang, Jianfu
1989
Existence of positive solutions for a Kirchhoff type problem with critical exponent. Zbl 1265.35077
Sun, Yijing; Liu, Xing
2012
Local classical solution of Muskat free boundary problem. Zbl 0847.35152
Yi, Fahuai
1996
Global strong solutions for the viscous, micropolar, compressible flow. Zbl 1240.76049
Chen, Mingtao
2011
Local well-posedness and a blow up criterion for the inviscid Boussinesq system in Hölder spaces. Zbl 1274.35280
Cui, Xiaona; Dou, Changsheng; Jiu, Quansen
2012
The unconditional stability of parallel difference schemes with second order convergence for nonlinear parabolic system. Zbl 1142.65408
Yuan, Guangwei; Sheng, Zhiqiang; Hang, Xudeng
2007
Some nonlinear elliptic equations have only constant solutions. Zbl 1174.35368
Brezis, Haïm; Li, YanYan
2006
Existence of positive entire solutions for polyharmonic equations and systems. Zbl 1284.35033
Liu, Jiaquan; Guo, Yuxia; Zhang, Yajing
2006
Asymptotic behavior of large weak entropy solutions of the damped $$p$$-system. Zbl 0891.35092
Serre, Denis; Xiao, Ling
1997
Parabolic Q-minima and their application. Zbl 0821.35062
Zhou, Shulin
1994
On the Cahn-Hilliard equation with nonlinear principal part. Zbl 0823.35036
Yin, Jingxue
1994
The geometric measure theoretical characterization of viscosity solutions to parabolic Monge-Ampère type equation. Zbl 0811.35053
Wang, Rouhuai; Wang, Guanglie
1993
Semiclassical states of Hamiltonian system of Schrödinger equations with subcritical and critical nonlinearities. Zbl 1104.35051
Ding, Yanheng; Lin, Fanghua
2006
A generalization of Eells-Sampson’s theorem. Zbl 0765.58008
Ding, Weiyue; Lin, Fanghua
1992
Bernstein-Jörgens theorem for a fourth order partial differential equation. Zbl 1020.53003
Trudinger, Neil S.; Wang, Xu-Jia
2002
Well-poesdness and ill-posedness issues for a class of 2D wave equations with exponential growth. Zbl 1265.35192
Mahouachi, Olfa; Saanouni, Tarek
2011
Some results on the stability of non-classical shock waves. Zbl 0903.35006
Freistühler, H.
1998
An algebraic approach for extending Hamiltonian operators. Zbl 0751.58016
Tu, Guizhang; Ma, Wenxiu
1992
Ricci flow on surfaces with degenerate initial metrics. Zbl 1174.53025
Chen, Xiuxiong; Ding, Weiyue
2007
Global existence of supersonic flow past a curved convex wedge. Zbl 0903.35037
Chen, Shuxing
1998
Decay of solutions to a 2D Schrödinger equation. Zbl 1240.35521
Saanouni, Tarek
2011
Bifurcation for some systems of cooperative and predator-prey type. Zbl 0769.35026
Li, Zhengyuan; de Mottoni, Piero
1992
On the local behaviour of parabolic Q-minima. Zbl 0813.35044
Zhou, Shulin
1993
On the geometric measure of nodal sets of solutions. Zbl 0823.35009
Han, Qing; Lin, Fanghua
1994
Coexistence states of a strongly coupled prey-predator model. Zbl 1330.35466
Chen, Bin; Peng, Rui
2005
Existence and uniqueness of weak solutions for a nonlinear parabolic equation related to image analysis. Zbl 1122.35061
Wang, Lihe; Zhou, Shulin
2006
Blow-up rate of solutions for $$p$$-Laplacian equation. Zbl 1174.35405
Zhao, Junning; Liang, Zhilei
2008
Interpolating between Li-Yau’s and Hamilton’s Harnack inequalities on a surface. Zbl 0943.58017
Chow, Bennett
1998
Existence and nonexistence of entire large solutions for some semilinear elliptic equations. Zbl 1174.35047
Ye, Dong; Zhou, Feng
2008
Muskat problem with surface tension. Zbl 0884.35176
Hong, Jiaxing; Tao, Youshan; Yi, Fahuai
1997
Global smooth solutions to Cauchy problem of equations of one-dimensional thermoviscoelasticity. Zbl 0682.73006
Zheng, Songmu; Shen, Weixi
1989
Space-time estimates for parabolic type operator and application to nonlinear parabolic equations. Zbl 0918.35063
Miao, Changxing; Gu, Yonggeng
1998
Regularity of the solution to the Dirichlet problem in Morrey spaces. Zbl 1008.35006
Chen, Yemin
2002
Starshaped compact hypersurfaces with prescribed $$m$$-th mean curvature in elliptic space. Zbl 1183.53054
2002
Anisotropic parabolic equations with measure data. Zbl 0979.35084
Li, Fengquan; Zhao, Huixiu
2001
Global well-posedness for the Klein-Gordon equation below the energy norm. Zbl 1065.35197
Miao, Changxing; Zhang, Bo; Fang, Daoyuan
2004
A new proof of subcritical Trudinger-Moser inequality on the whole Euclidean space. Zbl 1313.46045
Yang, Yunyan; Zhu, Xiaobao
2013
Two dimensional Landau-Lifshitz equation. Zbl 0871.58079
Chen, Yunmei; Guo, Boling
1996
Long time behavior of nonlinear strain waves in elastic waveguides. Zbl 0983.37097
Dai, Zhengde; Guo, Boling
1999
On inhomogeneous GBBM equations. Zbl 0833.35133
Guo, Boling; Miao, Changxing
1995
On a class of quasilinear parabolic equations of second order with double-degeneracy. Zbl 0733.35065
Yin, Jingxue
1990
Gaussian curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations. Zbl 1274.35153
Wang, Peihe; Zhang, Wei
2012
Asymptotic decay toward rarefaction wave for a hyperbolic-elliptic coupled system on half space. Zbl 1174.35011
Ruan, Lizhi; Zhu, Changjiang
2008
On basic semiconductor equations with heat conduction. Zbl 0820.35130
Lou, Yuan
1995
Life-span of classical solutions to nonlinear wave equations in two- space-dimensions. II. Zbl 0798.35105
Li, Tatsien; Zhou, Yi
1993
The semi-global isometric imbedding in $$\mathbb{R}^ 3$$ of two dimensional Riemannian manifolds with Gaussian curvature changing sign cleanly. Zbl 0785.53043
Dong, Guangchang
1993
The global smooth solution for Landau-Lifshitz-Maxwell equation without dissipation. Zbl 0915.35004
Su, Fengqiu; Guo, Boling
1998
Travelling wave front solutions for reaction-diffusion systems. Zbl 0754.35064
Li, Zhengyuan; Ye, Qixiao
1991
Existence and regularity of solutions of a nonlinear nonuniformly elliptic system arising from a thermistor problem. Zbl 0830.35045
Chen, Xinfu
1994
Self-similar singular solutions of a $$p$$-Laplacian evolution equation with gradient absorption term. Zbl 1076.35062
Shi, Peihu
2004
Gradient estimates for a nonlinear diffusion equation on complete manifolds. Zbl 1224.58022
Wu, Jiayong
2010
Blow-up of solutions of a quasilinear wave equation with nonlinear dissipation. Zbl 1183.35199
Benaissa, Abbes; Messaoudi, Salim. A.
2002
Global $$C^1$$ solution to the initial-boundary value problem for diagonal hyperbolic systems with linearly degenerate characteristics. Zbl 1045.35043
Li, Tatsien; Peng, Yue-Jun
2003
On a Lagrangian formulation of the incompressible Euler equation. Zbl 1389.35251
Inci, Hasan
2016
Blow-up of solutions for a fourth-order equation involving dissipative boundary condition and positive initial energy. Zbl 1340.35226
2014
The one-dimensional quasilinear Verigin problem. Zbl 0796.35087
Liang, Jin
1991
Global dynamics of a nonlinear beam equation with strong structural damping. Zbl 0957.35096
Gao, Hongjun
1999
Global weak solutions of the Cauchy problem to a hydrodynamic model for semiconductors. Zbl 0951.35086
Zhang, Kaijun
1999
Analysis of an integro-differential equation arising from modelling of flows with fading memory through fissured media. Zbl 0836.35061
Peszynska, Malgorzata
1995
Regularity of radial solutions to the complex Hessian equations. Zbl 1240.32035
Huang, Yong; Xu, Lu
2010
Existence and uniqueness results for a viscous, heat-conducting 3-D fluid with vacuum. Zbl 1199.35284
Zhang, Ting; Fang, Daoyuan
2008
Condensation of least-energy solutions of a semilinear Neumann problem. Zbl 0814.35039
Pan, Xingbin
1995
Global solutions for a coupled KdV system. Zbl 0677.35082
He, Pingfan
1989
Global smooth solutions and the asymptotic behavior of the motion of a viscous, heat-conductive, one-dimensional real gas. Zbl 0915.35071
Pan, Ronghua
1998
Attractors for the long-short wave equations. Zbl 1126.35337
Guo, Boling; Wang, Bixiang
1998
Orbital stability of solitary waves of the nonlinear Schrödinger-KdV equation. Zbl 0931.35158
Chen, Lin
1999
The global solution for Landau-Lifshitz-Maxwell equations. Zbl 0991.35086
Guo, Boling; Su, Fengqiu
2001
Blowup for systems of semilinear wave equations with small initial data. Zbl 1066.35061
Xu, Wei
2004
Approximation of a two-phase continuous casting Stefan problem. Zbl 0907.65128
Chen, Zhiming; Jiang, Lishang
1998
Very singular similarity solutions and Hermitian spectral theory for semilinear odd-order PDEs. Zbl 1249.35146
Fernandes, R. S.; Galaktionov, V. A.
2011
Blow-up of solutions for a singular nonlocal viscoelastic equation. Zbl 1240.35063
Wu, Shuntang
2011
Existence and regularity of a weak solution to a class of systems in a multi-connected domain. Zbl 1449.35133
Aramaki, Junichi
2019
Maximum principle and existence of weak solutions for nonlinear system involving singular $$p$$-Laplacian operators. Zbl 1374.35097
Khafagy, S. A.
2016
Existence of renormalized solutions for nonlinear parabolic equations. Zbl 1313.35146
Akdim, Y.; Benkirane, A.; El, Moumni M.; Redwane, H.
2014
Two parabolic equations with hysteresis. Zbl 0744.35017
Xu, Longfeng
1991
On the initial boundary value problems for two dimensional systems of Zakharov equations and of complex-Schrödinger-real-Boussinesq equations. Zbl 0783.35072
Li, Yongsheng
1992
$$L^ p$$ estimates for a class of integral operators. Zbl 0869.35044
Hong, Jiaxing; Li, Goquan
1996
Initial value problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity. Zbl 0891.35082
Li, Tatsien; Kong, Dexing
1997
Asymptotic behavior for global smooth solution to a one-dimensional nonlinear thermoviscoelastic system. Zbl 0933.74019
Qin, Yuming
1999
Periodic boundary problem and Cauchy problem for the fluid dynamic equation in geophysics. Zbl 0777.35058
Zhou, Yulin; Guo, Boling; Zhang, Linghai
1993
$$C^{1,\alpha}$$ regularity of viscosity solutions of fully nonlinear elliptic PDE under natural structure conditions. Zbl 0781.35011
Chen, Yazhe
1993
The estimates near the boundary for solutions of Monge-Ampère equations. Zbl 0824.35035
Hong, Jiaxing
1994
An irrotational and incompressible flow around a body in space. Zbl 0810.35088
Ou, Biao
1994
Global solution and its long time behavior for the generalized long-short wave equations. Zbl 1085.35040
Zhang, Ruifeng; Guo, Boling
2005
Hirota-type equations, soliton solutions, Bäcklund transformations and conservation laws. Zbl 0728.35099
Hu, Xingbiao
1990
Boundary value problems for nonlinear elliptic equations in cylindrical domains. Zbl 0784.35033
Kondratiev, V. A.; Oleinik, O. A.
1993
Long time behavior of the dissipative generalized symmetric regularized long wave equations. Zbl 1056.35030
Shang, Yadong; Guo, Boling; Fang, Shaomei
2002
Semiclassical limit of nonlinear Schrödinger equation. II. Zbl 1003.35116
Zhang, Ping
2002
Initial boundary value problem for a damped nonlinear hyperbolic equation. Zbl 1045.35041
Chen, Guowang
2003
Global solution of the Vlasov-Poisson-Landau systems near Maxwellians with small amplitude. Zbl 1099.45008
Yu, Hongjun
2004
A Hardy type inequality and indefinite eigenvalue problems on the homogeneous group. Zbl 1020.35022
Han, Yazhou; Niu, Pengcheng; Luo, Xuebo
2002
Existence and regularity of a weak solution to a class of systems in a multi-connected domain. Zbl 1449.35133
Aramaki, Junichi
2019
Well-posedness for the 2D non-autonomous incompressible fluid flow in Lipschitz-like domain. Zbl 1449.76015
Yang, Xinguang; Wang, Shubin
2019
Global existence and asymptotic stability for the initial boundary value problem of the linear Bresse system with a time-varying delay term. Zbl 1449.35056
Mahdi, Fatima Z.; Hakem, Ali
2019
General energy decay of solutions for a wave equation with nonlocal damping and nonlinear boundary damping. Zbl 1449.35071
Li, Donghao; Zhang, Hongwei; Hu, Qingying
2019
Fractional Tikhonov regularization method for a time-fractional backward heat equation with a fractional Laplacian. Zbl 1438.65216
Wang, Jianlin; Xiong, Xiangtuan; Cao, Xiaoxiao
2018
Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case. Zbl 1424.35156
Hebey, Emmanuel; Thizy, Pierre-Damien
2018
A boundary value problem for the degenerated elliptic equation with singular coefficient and spectral parameter. Zbl 1424.35142
Ruziev, M. Kh.
2018
Viscoelastic wave equation with logarithmic nonlinearities in $${{\mathbb{R}}^n}$$. Zbl 1389.35216
Bouhali, Keltoum; Ellaggoune, Fateh
2017
An effective indirect Trefftz method for solving Poisson equation in 2D. Zbl 1399.65343
You, Caixia; Zhang, Guangde
2017
Semi-linear elliptic equations on graphs. Zbl 1399.35349
Zhang, Dongshuang
2017
Existence of weak solutions for the Cahn-Hilliard reaction model including elastic effects and damage. Zbl 1399.35129
Kraus, Christiane; Roggensack, Arne
2017
Optimal regularity and control of the support for the pullback equation. Zbl 1413.35105
Kneuss, O.
2017
On a Lagrangian formulation of the incompressible Euler equation. Zbl 1389.35251
Inci, Hasan
2016
Maximum principle and existence of weak solutions for nonlinear system involving singular $$p$$-Laplacian operators. Zbl 1374.35097
Khafagy, S. A.
2016
A multiplicity result for some integro-differential biharmonic equation in $$R^4$$. Zbl 1374.35157
Aouaoui, Sami
2016
Solitons and other solutions for the generalized KdV-mKdV equation with higher-order nonlinear terms. Zbl 1374.35107
Zayed, Elsayed M. E.; Al-Nowehy, Abdul-Ghani
2016
A regularity criterion for the 3D incompressible density-dependent Navier-Stokes-Allen-Cahn equations. Zbl 1374.35295
Zhang, Jianlin
2016
Solitary wave solutions to the ZKBBM equation and the KPBBM equation via the modified simple equation method. Zbl 1374.35108
Akter, J.; Akbarm, Ali
2016
Semi-stability for holomorphic bundles with global sections. Zbl 1374.53046
Zhang, Chuanjing
2016
The method of moving planes for integral equation in an extremal case. Zbl 1374.45006
Wang, Ying; Wang, Jian
2016
Asymptotic behavior of the solution to a 3-D simplified energy-transport model for semiconductors. Zbl 1363.35257
Liu, Chundi; Li, Yong; Wang, Shu
2016
Exponential decay of energy for a logarithmic wave equation. Zbl 1349.35228
Zhang, Hongwei; Liu, Gongwei; Hu, Qingying
2015
$$(G'/G^2)$$-expansion solutions to MBBM and OBBM equations. Zbl 1340.35302
Kang, Zhouzheng
2015
Random attractor for the nonclassical diffusion equation with fading memory. Zbl 1349.35439
Cheng, Shuilin
2015
Remarks on Liouville type result for the 3D Hall-MHD system. Zbl 1349.35309
Zhang, Zujin; Yang, Xian; Qiu, Shulin
2015
A new blowup criterion for ideal viscoelastic flow. Zbl 1340.35282
Zhu, Lei; Wang, Faxing
2015
Existence and properties of radial solutions of a sub-linear elliptic equation. Zbl 1340.35037
Chteoui, Riadh; Ben, Mabrouk Anouar; Ounaies, Hichem
2015
A classification of solutions to a critically nonlinear system of elliptic equations on Euclidean half-space. Zbl 1340.35066
Gluck, Mathew R.; Zhang, Lei
2015
A supercritical elliptic equation in a hyperbolic space. Zbl 1340.58014
He, Haiyang
2015
A remark on the level sets of the graph of harmonic functions bounded by two circles in parallel planes. Zbl 1349.35141
Kong, Shengli; Xu, Jinju
2015
Exact traveling wave solutions for higher order nonlinear Schrödinger equations in optics by using the $$(G'/G, 1/G)$$-expansion method. Zbl 1349.35359
Zayed, E. M. E.; Alurrfi, K. A. E.
2015
Blow-up of solutions for a fourth-order equation involving dissipative boundary condition and positive initial energy. Zbl 1340.35226
2014
Existence of renormalized solutions for nonlinear parabolic equations. Zbl 1313.35146
Akdim, Y.; Benkirane, A.; El, Moumni M.; Redwane, H.
2014
Quenching time for a semilinear heat equation with a nonlinear Neumann boundary condition. Zbl 1324.35100
Li, Ruifei; Zhu, Liping; Zhang, Zhengce
2014
$$W^{1,p(x)}_0$$ versus $$C^1$$ local minimizers for a functional with critical growth. Zbl 1313.35121
Saoudi, K.
2014
On existence of local solutions of a moving boundary problem modeling chemotaxis in 1-D. Zbl 1324.35215
Wu, Shaohua; Yue, Bo
2014
BKM’s criterion of weak solutions for the 3D Boussinesq equations. Zbl 1313.35262
Yang, Xinguang; Zhang, Lingrui
2014
Global existence and asymptotic behavior for a coupled system of viscoelastic wave equations with a delay term. Zbl 1340.35210
Ferhat, Mohamed; Hakem, Ali
2014
A generalized Monge-Ampère equation. Zbl 1340.35093
Pingali, Vamsi P.
2014
Existence and uniqueness of strong solutions for shear thickening fluids of second grade. Zbl 1313.76002
Bousbih, Hafedh; Majdoub, Mohamed
2014
Non-local boundary value problem for the third order mixed type equation in double-connected domain. Zbl 1340.35231
Abdullayev, O. Kh
2014
Global well-posedness of classical solutions to the two-dimensional isentropic compressible Navier-Stokes equations with large initial data. Zbl 1313.76081
Zhang, Peixin; Deng, Xuemei; Zhao, Junning
2014
A generalized Frankl-Rassias problem for a class of mixed type equations in an infinite domain. Zbl 1313.35227
Ruziev, M. Kh.
2014
A new proof of subcritical Trudinger-Moser inequality on the whole Euclidean space. Zbl 1313.46045
Yang, Yunyan; Zhu, Xiaobao
2013
Blow up of solutions to one dimensional initial-boundary value problems for semilinear wave equations with variable coefficients. Zbl 1299.35187
Han, Wei
2013
On approximation and computation of Navier-Stokes flow. Zbl 1299.35230
Varnhorn, Werner; Zanger, Florian
2013
Many families of exact solutions for a nonlinear system of partial differential equations describing the dynamics of DNA. Zbl 1313.35345
Zayed, Elsayed M. E.; Arnous, Ahmed H.
2013
Existence of a renormalized solutions for a class of nonlinear degenerated parabolic problems with $$L^1$$ data. Zbl 1289.35149
Akdim, Y.; Bennouna, J.; Mekkour, M.; Redwane, H.
2013
Existence of positive solutions for a Kirchhoff type problem with critical exponent. Zbl 1265.35077
Sun, Yijing; Liu, Xing
2012
Local well-posedness and a blow up criterion for the inviscid Boussinesq system in Hölder spaces. Zbl 1274.35280
Cui, Xiaona; Dou, Changsheng; Jiu, Quansen
2012
Gaussian curvature estimates for the convex level sets of solutions for some nonlinear elliptic partial differential equations. Zbl 1274.35153
Wang, Peihe; Zhang, Wei
2012
A multiplicity result for a singular and nonhomogeneous elliptic problem in $$\mathbb{R}^n$$. Zbl 1265.35095
Zhao, Liang
2012
The equation $$\Delta u+\nabla \phi\cdot \nabla u=8\pi c(1-he^u)$$ on a Riemann surface. Zbl 1289.58012
Wang, Meng; Liu, Qingyue
2012
The Freedericksz transition and the asymptotic behavior in nematic liquid crystals. Zbl 1274.82076
Aramaki, Junichi
2012
Non-existence of global solutions for a fractional wave-diffusion equation. Zbl 1265.35197
Berbiche, Mohamed; Hakem, Ali
2012
Two regularity criteria via the logarithm of the weak solutions to the micropolar fluid equations. Zbl 1265.35263
2012
Boundary layers associated with a coupled Navier-Stokes/Allem-Cahn system: the non-characteristic boundary case. Zbl 1265.35252
Xie, Xiaoqiang
2012
Global estimate sin Orlicz spaces for $$p$$-Laplacian systems in $$\mathbb{R}^N$$. Zbl 1265.35082
Yao, Fengping; Zhou, Shulin
2012
Global solvability in thermoelasticity with second sound on the semi-axis. Zbl 1265.35203
Hu, Yuxi
2012
Inviscid limit for scalar viscous conservation laws in presence of strong shocks and boundary layers. Zbl 1265.35218
Ma, Shixiang
2012
Blowing up of sign-changing solutions to an elliptic subcritical equation. Zbl 1289.35100
Ghoudi, Rabeh
2012
Global strong solutions for the viscous, micropolar, compressible flow. Zbl 1240.76049
Chen, Mingtao
2011
Well-poesdness and ill-posedness issues for a class of 2D wave equations with exponential growth. Zbl 1265.35192
Mahouachi, Olfa; Saanouni, Tarek
2011
Decay of solutions to a 2D Schrödinger equation. Zbl 1240.35521
Saanouni, Tarek
2011
Very singular similarity solutions and Hermitian spectral theory for semilinear odd-order PDEs. Zbl 1249.35146
Fernandes, R. S.; Galaktionov, V. A.
2011
Blow-up of solutions for a singular nonlocal viscoelastic equation. Zbl 1240.35063
Wu, Shuntang
2011
A nonlinear hyperbolic-parabolic system modeling some biological phenomena. Zbl 1240.35554
Wu, Shaohua; Chen, Hua
2011
Remarks on the regularity criteria of three-dimensional Navier-Stokes equations in margin case. Zbl 1240.35422
Zhang, Xingwei; Zhang, Wenliang; Dong, Boqing
2011
Construction of Green’s functions for the two-dimensional static Klein-Gordon equation. Zbl 1240.35108
Melnikov, Yu. A.
2011
Nonradial solutions of a mixed concave-convex elliptic problem. Zbl 1265.35070
Ben Mabrouk, Anouar; Ben Mohamed, Mohamed Lakdar
2011
On the steady solutions to a model of compressible heat conducting fluid in two space dimensions. Zbl 1265.76062
Pokorný, Milan
2011
A generalized $$(G'/G)$$-expansion method to find the traveling wave solutions of nonlinear evolution equations. Zbl 1240.35452
Gepreel, Khaled A.
2011
Global weak solutions for the weakly dissipative Camassa-Holm equation. Zbl 1240.35098
Wu, Shuyin
2011
Sublinear elliptic equations on fractal domains. Zbl 1240.35165
He, Zhenya
2011
Local Aronson-Bénilan estimates for porous medium equations under Ricci flow. Zbl 1265.35041
Zhu, Xiaobao
2011
Regularity theorems for elliptic and hypoelliptic operators via the global relation. Zbl 1240.35102
Ashton, A. C. L.
2011
Existence of solutions for the Schrödinger-Poisson system with sign-changing weight. Zbl 1240.35430
Yu, Xiaohui
2011
Gradient estimates for a nonlinear diffusion equation on complete manifolds. Zbl 1224.58022
Wu, Jiayong
2010
Regularity of radial solutions to the complex Hessian equations. Zbl 1240.32035
Huang, Yong; Xu, Lu
2010
Solitary water waves for a 2D Boussinesq type system. Zbl 1240.35478
Quintero, José Raúl
2010
Existence of solutions to a semilinear elliptic system through generalized Orlicz-Sobolev spaces. Zbl 1240.35042
Hsini, M.
2010
On the Lorenz systems for the incompressible flow between two concentric rotating cylinders. Zbl 1228.76184
Wang, Heyuan; Li, Kaitai
2010
Positive solutions for singular quasilinear Schrödinger equations with one parameters, II. Zbl 1240.35110
Moameni, Abbas; Offin, Daniel C.
2010
Remark on random attractors of stochastic non-Newtonian fluid. Zbl 1224.76002
Guo, Boling; Guo, Chunxiao
2010
Regional, single point, and global blow-up for the fourth-order porous medium type equation with source. Zbl 1240.35239
Galaktionv, V. A.
2010
Light-like extremal surfaces in Minkowski space $$\mathbb{R}^{1+(1+n)}$$. Zbl 1240.35550
He, Yijie
2010
Some geometric flows on Kähler manifolds. Zbl 1240.35489
Sun, Xiaowei; Wang, Youde
2010
On the non-trivial solvability of boundary value problems in the angle domains. Zbl 1240.35089
Burskii, V. P.; Kirichenko, Ye. V.
2010
On generalized nonlinear Burgers’ equation. Zbl 1240.35432
Bokhari, Ashfaque H.; Kara, A. H.; Abdulwahab, M.; Zaman, F. D.
2010
Uniqueness of the weak extremal solution to biharmonic equation with logarithmically convex nonlinearities. Zbl 1240.35099
Luo, Xue
2010
A difference scheme approximation for inhomogeneous Schrödinger flows into $${\mathcal S}^2$$. Zbl 1240.35529
Yu, Jie
2010
Nonradial entire large solutions of semilinear elliptic equations. Zbl 1240.35175
Lair, Alan V.
2010
On the Cauchy problem of the Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover. Zbl 1212.35445
Chen, Shuhong; Guo, Boling
2009
Uniform compact attractors for a nonlinear non-autonomous equation of viscoelasticity. Zbl 1199.35033
Qin, Yuming; Deng, Shuxian; Schulze, Bert-Wolfgang
2009
Asymptotically self-similar global solutions for a higher-order semilinear parabolic system. Zbl 1212.35221
Sun, Fuqin; Li, Fan; Jia, Xiuqing
2009
A fourth-order degenerate parabolic equation with variable exponent. Zbl 1212.35259
Zhang, Chao; Zhou, Shulin
2009
Dirichlet eigenvalue ratios for the $$p$$-sub-Laplacian in the Carnot group. Zbl 1212.35492
Wei, Na; Niu, Pengcheng; Liu, Haifeng
2009
Remark on exponential decay of ground states for $$N$$-Laplacian equations. Zbl 1212.35025
Zhao, Chunshan
2009
The regularity of a class of degenerate elliptic Monge-Ampère equations. Zbl 1212.35167
Hong, Jiaxing; Wang, Weiye
2009
The homotopy perturbation method and the Adomian decomposition method for the nonlinear coupled equations. Zbl 1212.65406
Zayed, E. M. E.; Abdel, Rahman H. M.
2009
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#### Cited by 1,658 Authors

 31 Guo, Boling 22 Lu, Guozhen 21 Saanouni, Tarek 21 Wang, Zhi-Qiang 21 Yang, Yunyan 12 Yin, Jingxue 10 Do Ó, João M. Bezerra 10 Lam, Nguyen 10 Zhou, Yi 9 Chen, Zhengzheng 9 Lai, Ning-An 9 Miao, Changxing 9 Nguyễn Văn Hoàng 9 Niu, Pengcheng 9 Takamura, Hiroyuki 8 Alves, Claudianor Oliveira 8 Dong, Huanhe 8 Miyagaki, Olimpio Hiroshi 8 Palmieri, Alessandro 8 Passaseo, Donato 8 Qin, Yuming 8 Zhang, Zhengce 8 Zhu, Changjiang 8 Zhu, Xiaobao 8 Zou, Wenming 7 Bao, Jiguang 7 Chen, Gui-Qiang G. 7 Chen, Lu 7 Hidano, Kunio 7 Hsiao, Ling 7 Lin, Zhigui 7 Peng, Shuangjie 7 Xin, Jie 7 Yang, Xiaozhong 7 Yao, Lei 7 Yao, Zhengan 7 Zarnescu, Arghir Dani 7 Zhang, Zhitao 6 Fan, Jishan 6 Huang, Feimin 6 Li, Jiayu 6 Li, Yuxiang 6 Liu, Jianli 6 Thizy, Pierre-Damien 6 Villavert, John 6 Wang, Jing 6 Wang, Wenjun 6 Wei, Juncheng 6 Wu, Lifei 6 Xiang, Wei 6 Xu, Xiaojing 6 Zhang, Caifeng 6 Zhang, Linghai 6 Zhao, Huijiang 5 Aramaki, Junichi 5 Bartsch, Thomas J. 5 Chen, Hua 5 Cimrák, Ivan 5 Cui, Haibo 5 Dai, Limei 5 Ding, Shijin 5 Freistühler, Heinrich 5 Galaktionov, Victor Aleksandrovich 5 Gao, Yanfang 5 Hirano, Norimichi 5 Jiang, Murong 5 Kubo, Hideo 5 Li, Congming 5 Liao, Jiafeng 5 Liu, Chein-Shan 5 Liu, Chuangye 5 Liu, Zhaoli 5 Masson, Mathias 5 Matioc, Bogdan-Vasile 5 Musso, Monica 5 Pan, Ronghua 5 Pan, Xingbin 5 Ruan, Lizhi 5 Shahrouzi, Mohammad 5 Slodička, Marián 5 Tang, Xianhua 5 Wakasa, Kyouhei 5 Wang, Chengbo 5 Wang, Jun 5 Wu, Jiahong 5 Wu, Jiayong 5 Yin, Haiyan 5 Yu, Hongjun 5 Yuan, Baoquan 5 Yuan, Yirang 5 Zhang, Wei 5 Zhu, Liping 4 Boulaaras, Salah Mahmoud 4 Byeon, Jaeyoung 4 Chen, Zhijie 4 Cheng, Ze 4 Dai, Zhengde 4 de Souza, Manassés 4 Duan, Ran 4 El Moumni, Mostafa ...and 1,558 more Authors
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#### Cited in 246 Journals

 132 Journal of Mathematical Analysis and Applications 116 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 113 Journal of Differential Equations 45 Calculus of Variations and Partial Differential Equations 33 Communications on Pure and Applied Analysis 31 Discrete and Continuous Dynamical Systems 29 Archive for Rational Mechanics and Analysis 29 Journal of Functional Analysis 26 Acta Mathematicae Applicatae Sinica. English Series 25 Nonlinear Analysis. Theory, Methods & Applications 24 Computers & Mathematics with Applications 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 23 Nonlinear Analysis. Real World Applications 21 Acta Mathematica Sinica. English Series 20 Mathematical Methods in the Applied Sciences 20 Applied Mathematics and Computation 17 Advances in Mathematics 17 Proceedings of the American Mathematical Society 16 Applied Mathematics Letters 16 Boundary Value Problems 15 Transactions of the American Mathematical Society 15 Communications in Nonlinear Science and Numerical Simulation 15 Science China. Mathematics 14 Chinese Annals of Mathematics. Series B 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Applied Mathematics. Series B (English Edition) 12 Abstract and Applied Analysis 12 Advanced Nonlinear Studies 10 Communications in Mathematical Physics 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 NoDEA. Nonlinear Differential Equations and Applications 10 Communications in Contemporary Mathematics 9 Journal of Mathematical Physics 9 Journal of Computational and Applied Mathematics 9 The Journal of Geometric Analysis 9 SIAM Journal on Mathematical Analysis 9 Journal of Mathematical Sciences (New York) 8 Applicable Analysis 8 Journal d’Analyse Mathématique 8 Chaos, Solitons and Fractals 8 Applied Mathematics and Mechanics. (English Edition) 8 Acta Applicandae Mathematicae 8 Mediterranean Journal of Mathematics 7 Mathematische Annalen 7 Discrete and Continuous Dynamical Systems. Series B 7 Advances in Difference Equations 6 Manuscripta Mathematica 6 Physica D 6 Potential Analysis 6 Journal of Mathematical Fluid Mechanics 5 Mathematische Zeitschrift 5 Quarterly of Applied Mathematics 5 Annals of Global Analysis and Geometry 5 Science in China. Series A 5 Electronic Journal of Differential Equations (EJDE) 5 Discrete Dynamics in Nature and Society 5 Journal of Fixed Point Theory and Applications 4 Journal of Computational Physics 4 Rocky Mountain Journal of Mathematics 4 Mathematics of Computation 4 Archiv der Mathematik 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 Acta Mathematica Sinica. New Series 4 Journal of Dynamics and Differential Equations 4 Topological Methods in Nonlinear Analysis 4 Journal of Inequalities and Applications 4 Journal of Applied Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Complex Variables and Elliptic Equations 4 Analysis and Mathematical Physics 4 Arabian Journal of Mathematics 4 Evolution Equations and Control Theory 4 SN Partial Differential Equations and Applications 3 Communications on Pure and Applied Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Annales Polonici Mathematici 3 Applied Mathematics and Optimization 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 Studies in Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical and Computer Modelling 3 Japan Journal of Industrial and Applied Mathematics 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Journal of Elasticity 3 Chinese Science Bulletin 3 Journal of Nonlinear Science 3 Turkish Journal of Mathematics 3 Mathematical Problems in Engineering 3 Differential Equations and Dynamical Systems 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Poincaré 3 Applied Mathematics E-Notes 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Analysis and Applications (Singapore) 3 Communications in Mathematical Analysis 3 Discrete and Continuous Dynamical Systems. Series S ...and 146 more Journals
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#### Cited in 45 Fields

 1,274 Partial differential equations (35-XX) 256 Fluid mechanics (76-XX) 102 Global analysis, analysis on manifolds (58-XX) 98 Functional analysis (46-XX) 83 Differential geometry (53-XX) 77 Numerical analysis (65-XX) 58 Dynamical systems and ergodic theory (37-XX) 56 Statistical mechanics, structure of matter (82-XX) 45 Real functions (26-XX) 42 Operator theory (47-XX) 39 Mechanics of deformable solids (74-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 32 Biology and other natural sciences (92-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 24 Optics, electromagnetic theory (78-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Ordinary differential equations (34-XX) 20 Integral equations (45-XX) 14 Quantum theory (81-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Potential theory (31-XX) 11 Functions of a complex variable (30-XX) 9 Probability theory and stochastic processes (60-XX) 7 Geophysics (86-XX) 6 Topological groups, Lie groups (22-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Nonassociative rings and algebras (17-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Computer science (68-XX) 3 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)