Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation

Benoît Mselati

doi:10.1090/memo/0798

Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation

Memoirs of the American Mathematical Society ◽

10.1090/memo/0798 ◽

2004 ◽

Vol 168 (798) ◽

pp. 0-0 ◽

Cited By ~ 6

Author(s):

Benoît Mselati

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Probabilistic Representation ◽

Semilinear Elliptic

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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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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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The existence of multiple positive solutions for a semilinear elliptic equation in

Nonlinear Analysis ◽

10.1016/j.na.2009.12.024 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3412-3421 ◽

Cited By ~ 4

Author(s):

Tsung-fang Wu

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Multiple Positive Solutions ◽

Semilinear Elliptic

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Positive Solutions of Semilinear Elliptic Equation Δu + hu(n+2)/(n−2) = 0

Journal of Differential Equations ◽

10.1006/jdeq.1995.1164 ◽

1995 ◽

Vol 123 (1) ◽

pp. 230-259 ◽

Cited By ~ 3

Author(s):

T.C. Ouyang

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic

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Blow-up of positive solutions of a second-order semilinear elliptic equation with lower derivatives and with singular potential

Mathematical Notes ◽

10.1134/s0001434617010400 ◽

2017 ◽

Vol 101 (1-2) ◽

pp. 374-378

Author(s):

Sh. G. Bagyrov ◽

K. A. Gulieva

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Singular Potential ◽

Blow Up ◽

Semilinear Elliptic Equation ◽

Second Order ◽

Semilinear Elliptic

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Existence and asymptotic behavior of positive solutions for an inhomogeneous semilinear elliptic equation

Nonlinear Analysis ◽

10.1016/j.na.2006.10.046 ◽

2008 ◽

Vol 68 (2) ◽

pp. 246-272 ◽

Cited By ~ 6

Author(s):

Yinbin Deng ◽

Fen Yang

Keyword(s):

Asymptotic Behavior ◽

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic

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Existence and unioueness of positive solutions for a semilinear elliptic equation on unbounded domains

Communications in Partial Differential Equations ◽

10.1080/03605308808820574 ◽

1988 ◽

Vol 13 (10) ◽

pp. 1223-1234

Author(s):

Jean-Francois Leon

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Unbounded Domains ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic

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A priori bounds for positive solutions of a semilinear elliptic equation

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1985-0796444-0 ◽

1985 ◽

Vol 95 (1) ◽

pp. 47-47 ◽

Cited By ~ 9

Author(s):

Chris Cosner ◽

Klaus Schmitt

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

A Priori ◽

Semilinear Elliptic Equation ◽

A Priori Bounds ◽

Semilinear Elliptic

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Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x)u^p+f(x)$ in ${\mathbb R}^N$

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260050003 ◽

2000 ◽

Vol 11 (1) ◽

pp. 63-95 ◽

Cited By ~ 52

Author(s):

Shinji Adachi ◽

Kazunaga Tanaka

Keyword(s):

Elliptic Equation ◽

Positive Solutions ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic

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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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