Existence of Positive Solutions of a Semilinear Elliptic Equation in Rn+with a Nonlinear Boundary Condition

M Chipot; M Chlebı́k; M Fila; I Shafrir

doi:10.1006/jmaa.1998.5958

Existence of Positive Solutions of a Semilinear Elliptic Equation in Rn+with a Nonlinear Boundary Condition

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1998.5958 ◽

1998 ◽

Vol 223 (2) ◽

pp. 429-471 ◽

Cited By ~ 42

Author(s):

M Chipot ◽

M Chlebı́k ◽

M Fila ◽

I Shafrir

Keyword(s):

Boundary Condition ◽

Elliptic Equation ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic ◽

Existence Of Positive Solutions

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Multiplicity of positive solutions for a semilinear elliptic equation in $R_+^N$ with nonlinear boundary condition

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2010.9.1675 ◽

2010 ◽

Vol 9 (6) ◽

pp. 1675-1696 ◽

Cited By ~ 3

Author(s):

Tsung-Fang Wu ◽

Keyword(s):

Boundary Condition ◽

Elliptic Equation ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic ◽

Multiplicity Of Positive Solutions

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Existence of positive solutions to semilinear elliptic problems with nonlinear boundary condition

Proceedings - Mathematical Sciences ◽

10.1007/s12044-018-0434-z ◽

2018 ◽

Vol 128 (5) ◽

Author(s):

Chan-Gyun Kim ◽

Eun Kyoung Lee

Keyword(s):

Boundary Condition ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Elliptic Problems ◽

Semilinear Elliptic ◽

Existence Of Positive Solutions ◽

Semilinear Elliptic Problems

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Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-015-0856-8 ◽

2015 ◽

Vol 54 (2) ◽

pp. 2059-2078 ◽

Cited By ~ 8

Author(s):

Marek Fila ◽

Kazuhiro Ishige ◽

Tatsuki Kawakami

Keyword(s):

Boundary Condition ◽

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Dynamical Boundary Condition ◽

Semilinear Elliptic ◽

Existence Of Positive Solutions

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Existence of positive solutions to a Laplace equation with nonlinear boundary condition

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-015-0578-y ◽

2015 ◽

Vol 66 (6) ◽

pp. 3061-3083 ◽

Cited By ~ 4

Author(s):

C.-G. Kim ◽

Z.-P. Liang ◽

J.-P. Shi

Keyword(s):

Boundary Condition ◽

Positive Solutions ◽

Laplace Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Existence Of Positive Solutions

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Multiple positive solutions for semilinear elliptic systems with nonlinear boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.12.052 ◽

2007 ◽

Vol 189 (2) ◽

pp. 1712-1722 ◽

Cited By ~ 8

Author(s):

Tsung-fang Wu

Keyword(s):

Boundary Condition ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Elliptic Systems ◽

Multiple Positive Solutions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Positive solutions with single and multi-peak for semilinear elliptic equations with nonlinear boundary condition in the half-space

Proceedings - Mathematical Sciences ◽

10.1007/s12044-018-0397-0 ◽

2018 ◽

Vol 128 (2) ◽

Author(s):

Li Wang ◽

Peihao Zhao

Keyword(s):

Boundary Condition ◽

Half Space ◽

Positive Solutions ◽

Elliptic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Multiple positive solutions for a class of semilinear elliptic systems with nonlinear boundary condition

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-011-0500-5 ◽

2011 ◽

Vol 38 (1-2) ◽

pp. 617-630 ◽

Cited By ~ 1

Author(s):

Hu Li ◽

Xing-Ping Wu ◽

Chun-Lei Tang

Keyword(s):

Boundary Condition ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Elliptic Systems ◽

Multiple Positive Solutions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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On the existence of positive solutions of a semilinear elliptic equation with change of sign

Nonlinear Analysis ◽

10.1016/0362-546x(94)90112-0 ◽

1994 ◽

Vol 22 (11) ◽

pp. 1309-1314 ◽

Cited By ~ 1

Author(s):

Samia Khanfir ◽

Leïla Lassoued

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic ◽

Existence Of Positive Solutions

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Positive solutions to a semilinear elliptic equation with a Sobolev–Hardy term

Nonlinear Analysis ◽

10.1016/j.na.2011.04.057 ◽

2011 ◽

Vol 74 (14) ◽

pp. 4847-4861 ◽

Cited By ~ 3

Author(s):

Ali Al-aati ◽

Chunhua Wang ◽

Jing Zhao

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic ◽

Hardy Term

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Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2015.11.014 ◽

2016 ◽

Vol 105 (6) ◽

pp. 788-809 ◽

Cited By ~ 6

Author(s):

Marek Fila ◽

Kazuhiro Ishige ◽

Tatsuki Kawakami

Keyword(s):

Boundary Condition ◽

Elliptic Equation ◽

Semilinear Elliptic Equation ◽

Dynamical Boundary Condition ◽

Semilinear Elliptic

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