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Precise range of the existence of positive solutions of a nonlinear, indefinite in sign Neumann problem
1.  Bashkir State University, Department of Mathematics, Ufa, 450000, Russian Federation 
[1] 
Minoo Kamrani. Numerical solution of partial differential equations with stochastic Neumann boundary conditions. Discrete and Continuous Dynamical Systems  B, 2019, 24 (10) : 53375354. doi: 10.3934/dcdsb.2019061 
[2] 
Alexander Gladkov. Blowup problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. Communications on Pure and Applied Analysis, 2017, 16 (6) : 20532068. doi: 10.3934/cpaa.2017101 
[3] 
Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu. Bifurcation of positive solutions for nonlinear nonhomogeneous Robin and Neumann problems with competing nonlinearities. Discrete and Continuous Dynamical Systems, 2015, 35 (10) : 50035036. doi: 10.3934/dcds.2015.35.5003 
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YuFeng Sun, Zheng Zeng, Jie Song. Quasilinear iterative method for the boundary value problem of nonlinear fractional differential equation. Numerical Algebra, Control and Optimization, 2020, 10 (2) : 157164. doi: 10.3934/naco.2019045 
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TsungFang Wu. Multiplicity of positive solutions for a semilinear elliptic equation in $R_+^N$ with nonlinear boundary condition. Communications on Pure and Applied Analysis, 2010, 9 (6) : 16751696. doi: 10.3934/cpaa.2010.9.1675 
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Zhiming Guo, ZhiChun Yang, Xingfu Zou. Existence and uniqueness of positive solution to a nonlocal differential equation with homogeneous Dirichlet boundary conditionA nonmonotone case. Communications on Pure and Applied Analysis, 2012, 11 (5) : 18251838. doi: 10.3934/cpaa.2012.11.1825 
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Gennaro Infante. Positive solutions of differential equations with nonlinear boundary conditions. Conference Publications, 2003, 2003 (Special) : 432438. doi: 10.3934/proc.2003.2003.432 
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Zuodong Yang, Jing Mo, Subei Li. Positive solutions of $p$Laplacian equations with nonlinear boundary condition. Discrete and Continuous Dynamical Systems  B, 2011, 16 (2) : 623636. doi: 10.3934/dcdsb.2011.16.623 
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Ali Hamidoǧlu. On general form of the Tanh method and its application to nonlinear partial differential equations. Numerical Algebra, Control and Optimization, 2016, 6 (2) : 175181. doi: 10.3934/naco.2016007 
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Jiayue Zheng, Shangbin Cui. Bifurcation analysis of a tumormodel free boundary problem with a nonlinear boundary condition. Discrete and Continuous Dynamical Systems  B, 2020, 25 (11) : 43974410. doi: 10.3934/dcdsb.2020103 
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Sertan Alkan. A new solution method for nonlinear fractional integrodifferential equations. Discrete and Continuous Dynamical Systems  S, 2015, 8 (6) : 10651077. doi: 10.3934/dcdss.2015.8.1065 
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Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks and Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
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Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete and Continuous Dynamical Systems, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
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Hongwei Zhang, Qingying Hu. Asymptotic behavior and nonexistence of wave equation with nonlinear boundary condition. Communications on Pure and Applied Analysis, 2005, 4 (4) : 861869. doi: 10.3934/cpaa.2005.4.861 
[15] 
JongShenq Guo. Blowup behavior for a quasilinear parabolic equation with nonlinear boundary condition. Discrete and Continuous Dynamical Systems, 2007, 18 (1) : 7184. doi: 10.3934/dcds.2007.18.71 
[16] 
Marek Fila, Kazuhiro Ishige, Tatsuki Kawakami. Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition. Communications on Pure and Applied Analysis, 2012, 11 (3) : 12851301. doi: 10.3934/cpaa.2012.11.1285 
[17] 
Kazuhiro Ishige, Ryuichi Sato. Heat equation with a nonlinear boundary condition and uniformly local $L^r$ spaces. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 26272652. doi: 10.3934/dcds.2016.36.2627 
[18] 
Chunhua Jin, Jingxue Yin, Zejia Wang. Positive periodic solutions to a nonlinear fourthorder differential equation. Communications on Pure and Applied Analysis, 2008, 7 (5) : 12251235. doi: 10.3934/cpaa.2008.7.1225 
[19] 
Shouchuan Hu, Nikolaos S. Papageorgiou. Nonlinear Neumann equations driven by a nonhomogeneous differential operator. Communications on Pure and Applied Analysis, 2011, 10 (4) : 10551078. doi: 10.3934/cpaa.2011.10.1055 
[20] 
Marcelo Bongarti, Irena Lasiecka. Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumannundissipated part of the boundary. Discrete and Continuous Dynamical Systems  S, 2022, 15 (8) : 19571985. doi: 10.3934/dcdss.2022107 
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