Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball
Electronic journal of differential equations, Tome 2007 (2007)
We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity $g(u)$ that grows subcritically for $u$ positive and supercritically for $u$ negative.
Classification :
35J65, 34B16
Keywords: sub-super critical, radial solutions, nonlinear elliptic equation, pohozaev identity
Keywords: sub-super critical, radial solutions, nonlinear elliptic equation, pohozaev identity
@article{EJDE_2007__2007__a89,
author = {Castro, Alfonso and Kwon, John and Tan, Chee Meng},
title = {Infinitely many radial solutions for a sub-super critical {Dirichlet} boundary value problem in a ball},
journal = {Electronic journal of differential equations},
year = {2007},
volume = {2007},
zbl = {1133.35366},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a89/}
}
TY - JOUR AU - Castro, Alfonso AU - Kwon, John AU - Tan, Chee Meng TI - Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball JO - Electronic journal of differential equations PY - 2007 VL - 2007 UR - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a89/ LA - en ID - EJDE_2007__2007__a89 ER -
%0 Journal Article %A Castro, Alfonso %A Kwon, John %A Tan, Chee Meng %T Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball %J Electronic journal of differential equations %D 2007 %V 2007 %U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a89/ %G en %F EJDE_2007__2007__a89
Castro, Alfonso; Kwon, John; Tan, Chee Meng. Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a89/