Global bifurcation of sign-changing radial solutions of elliptic equations of order 2<i>m</i> in annular domains

Ruyun Ma;  ; Dongliang Yan; Liping Wei;

doi:10.3934/math.2020313

Global bifurcation of sign-changing radial solutions of elliptic equations of order 2m in annular domains

AIMS Mathematics ◽

10.3934/math.2020313 ◽

2020 ◽

Vol 5 (5) ◽

pp. 4909-4916

Author(s):

Ruyun Ma ◽

◽

Dongliang Yan ◽

Liping Wei ◽

Keyword(s):

Elliptic Equations ◽

Global Bifurcation ◽

Radial Solutions ◽

Annular Domains

Global bifurcation of positive radial solutions of elliptic equations of order 2m in annular domains

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-020-00840-2 ◽

2021 ◽

Vol 23 (1) ◽

Author(s):

Ruyun Ma ◽

Dongliang Yan

Keyword(s):

Elliptic Equations ◽

Global Bifurcation ◽

Radial Solutions ◽

Positive Radial Solutions ◽

Annular Domains

Existence of positive radial solutions for some quasilinear elliptic equations in annular domains

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-999-0041-y ◽

1999 ◽

Vol 14 (3) ◽

pp. 313-320 ◽

Cited By ~ 4

Author(s):

Hui Zhang ◽

Zongming Guo

Keyword(s):

Elliptic Equations ◽

Quasilinear Elliptic Equations ◽

Radial Solutions ◽

Positive Radial Solutions ◽

Annular Domains ◽

Quasilinear Elliptic

Existence of radial solutions for nonlinear elliptic equations with gradient terms in annular domains

Nonlinear Analysis ◽

10.1016/j.na.2019.03.024 ◽

2019 ◽

Vol 187 ◽

pp. 93-109

Author(s):

Xu Dong ◽

Yuanhong Wei

Keyword(s):

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Radial Solutions ◽

Nonlinear Elliptic ◽

Annular Domains

Positive radial solutions and non-radial bifurcation for semilinear elliptic equations in annular domains

Journal of Differential Equations ◽

10.1016/0022-0396(90)90035-n ◽

1990 ◽

Vol 86 (2) ◽

pp. 367-391 ◽

Cited By ~ 30

Author(s):

Song-Sun Lin

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Radial Solutions ◽

Semilinear Elliptic ◽

Positive Radial Solutions ◽

Annular Domains

Existence and Multiplicity of Positive Radial Solutions for Semilinear Elliptic Equations in Annular Domains

SIAM Journal on Mathematical Analysis ◽

10.1137/0522097 ◽

1991 ◽

Vol 22 (6) ◽

pp. 1500-1515 ◽

Cited By ~ 11

Author(s):

Song-Sun Lin ◽

Feng Ming Pai

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Radial Solutions ◽

Existence And Multiplicity ◽

Semilinear Elliptic ◽

Positive Radial Solutions ◽

Annular Domains

On the existence of positive radial solutions for nonlinear elliptic equations in annular domains

Journal of Differential Equations ◽

10.1016/0022-0396(89)90121-6 ◽

1989 ◽

Vol 81 (2) ◽

pp. 221-233 ◽

Cited By ~ 38

Author(s):

Song-Sun Lin

Keyword(s):

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Radial Solutions ◽

Nonlinear Elliptic ◽

Positive Radial Solutions ◽

Annular Domains

Existence and multiplicity of positive radial solutions to the Dirichlet problem for nonlinear elliptic equations on annular domains

Studia Universitatis Babes-Bolyai Matematica ◽

10.24193/subbmath.2020.1.09 ◽

2020 ◽

Vol 65 (1) ◽

pp. 109-125 ◽

Cited By ~ 1

Author(s):

Noureddine Bouteraa ◽

◽

Slimane Benaicha ◽

◽

...

Keyword(s):

Dirichlet Problem ◽

Elliptic Equations ◽

Nonlinear Elliptic Equations ◽

Radial Solutions ◽

Nonlinear Elliptic ◽

Existence And Multiplicity ◽

Positive Radial Solutions ◽

Annular Domains

Uniqueness of positive radial solutions for semilinear elliptic equations on annular domains

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00303-x ◽

2001 ◽

Vol 44 (6) ◽

pp. 749-758 ◽

Cited By ~ 7

Author(s):

Chun-Chieh Fu ◽

Song-Sun Lin

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Radial Solutions ◽

Semilinear Elliptic ◽

Positive Radial Solutions ◽

Annular Domains

Positive radial solutions of semilinear elliptic equations of order 2m in annular domains

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1381412487 ◽

1994 ◽

Vol 23 (1) ◽

pp. 93-101 ◽

Cited By ~ 3

Author(s):

Robert DALMASSO

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Radial Solutions ◽

Semilinear Elliptic ◽

Positive Radial Solutions ◽

Annular Domains

Intersection properties of radial solutions and global bifurcation diagrams for supercritical quasilinear elliptic equations

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-016-0359-0 ◽

2016 ◽

Vol 23 (2) ◽

Cited By ~ 5

Author(s):

Yasuhito Miyamoto

Keyword(s):

Elliptic Equations ◽

Global Bifurcation ◽

Quasilinear Elliptic Equations ◽

Bifurcation Diagrams ◽

Radial Solutions ◽

Quasilinear Elliptic