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Monotone solutions to a class of elliptic and diffusion equations
Problem on stationary flow of electrorheological fluids at the generalized conditions of slip on the boundary
1.  Lehrstuhl für Angewandte Analysis mit Schwerpunkt Numerik, Universität Augsburg, Universitätsstrasse, 14, 86159 Augsburg, Germany 
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Na An, Chaobao Huang, Xijun Yu. Error analysis of discontinuous Galerkin method for the time fractional KdV equation with weak singularity solution. Discrete & Continuous Dynamical Systems  B, 2020, 25 (1) : 321334. doi: 10.3934/dcdsb.2019185 
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Kai Zhang, Xiaoqi Yang, Song Wang. Solution method for discrete double obstacle problems based on a power penalty approach. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2021018 
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Cong Qin, Xinfu Chen. A new weak solution to an optimal stopping problem. Discrete & Continuous Dynamical Systems  B, 2020, 25 (12) : 48234837. doi: 10.3934/dcdsb.2020128 
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Shuxing Chen, Jianzhong Min, Yongqian Zhang. Weak shock solution in supersonic flow past a wedge. Discrete & Continuous Dynamical Systems, 2009, 23 (1&2) : 115132. doi: 10.3934/dcds.2009.23.115 
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Xi Wang, Zuhan Liu, Ling Zhou. Asymptotic decay for the classical solution of the chemotaxis system with fractional Laplacian in high dimensions. Discrete & Continuous Dynamical Systems  B, 2018, 23 (9) : 40034020. doi: 10.3934/dcdsb.2018121 
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Yasir Ali, Arshad Alam Khan. Exact solution of magnetohydrodynamic slip flow and heat transfer over an oscillating and translating porous plate. Discrete & Continuous Dynamical Systems  S, 2018, 11 (4) : 595606. doi: 10.3934/dcdss.2018034 
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Jutamas Kerdkaew, Rabian Wangkeeree. Characterizing robust weak sharp solution sets of convex optimization problems with uncertainty. Journal of Industrial & Management Optimization, 2020, 16 (6) : 26512673. doi: 10.3934/jimo.2019074 
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Meng Wang, Wendong Wang, Zhifei Zhang. On the uniqueness of weak solution for the 2D EricksenLeslie system. Discrete & Continuous Dynamical Systems  B, 2016, 21 (3) : 919941. doi: 10.3934/dcdsb.2016.21.919 
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Toyohiko Aiki, Adrian Muntean. On uniqueness of a weak solution of onedimensional concrete carbonation problem. Discrete & Continuous Dynamical Systems, 2011, 29 (4) : 13451365. doi: 10.3934/dcds.2011.29.1345 
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Yong Zeng. Existence and uniqueness of very weak solution of the MHD type system. Discrete & Continuous Dynamical Systems, 2020, 40 (10) : 56175638. doi: 10.3934/dcds.2020240 
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Chérif Amrouche, María Ángeles RodríguezBellido. On the very weak solution for the Oseen and NavierStokes equations. Discrete & Continuous Dynamical Systems  S, 2010, 3 (2) : 159183. doi: 10.3934/dcdss.2010.3.159 
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Keisuke Takasao. Existence of weak solution for mean curvature flow with transport term and forcing term. Communications on Pure & Applied Analysis, 2020, 19 (5) : 26552677. doi: 10.3934/cpaa.2020116 
[13] 
Zhong Tan, Jianfeng Zhou. Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids. Communications on Pure & Applied Analysis, 2016, 15 (4) : 13351350. doi: 10.3934/cpaa.2016.15.1335 
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Hua Zhong, Chunlai Mu, Ke Lin. Global weak solution and boundedness in a threedimensional competing chemotaxis. Discrete & Continuous Dynamical Systems, 2018, 38 (8) : 38753898. doi: 10.3934/dcds.2018168 
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Alain Hertzog, Antoine Mondoloni. Existence of a weak solution for a quasilinear wave equation with boundary condition. Communications on Pure & Applied Analysis, 2002, 1 (2) : 191219. doi: 10.3934/cpaa.2002.1.191 
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Tong Li, Anthony Suen. Existence of intermediate weak solution to the equations of multidimensional chemotaxis systems. Discrete & Continuous Dynamical Systems, 2016, 36 (2) : 861875. doi: 10.3934/dcds.2016.36.861 
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Shijin Ding, Changyou Wang, Huanyao Wen. Weak solution to compressible hydrodynamic flow of liquid crystals in dimension one. Discrete & Continuous Dynamical Systems  B, 2011, 15 (2) : 357371. doi: 10.3934/dcdsb.2011.15.357 
[18] 
Liuyang Yuan, Zhongping Wan, Qiuhua Tang. A criterion for an approximation global optimal solution based on the filled functions. Journal of Industrial & Management Optimization, 2016, 12 (1) : 375387. doi: 10.3934/jimo.2016.12.375 
[19] 
ShinIchiro Ei, Toshio Ishimoto. Effect of boundary conditions on the dynamics of a pulse solution for reactiondiffusion systems. Networks & Heterogeneous Media, 2013, 8 (1) : 191209. doi: 10.3934/nhm.2013.8.191 
[20] 
Bhargav Kumar Kakumani, Suman Kumar Tumuluri. Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 407419. doi: 10.3934/dcdsb.2017019 
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