Geodesic
Multiplicity of solutions for quasilinear elliptic boundary-value problems
Electronic journal of differential equations, Tome 1999 (1999)
This paper is concerned with the existence of multiple solutions to the boundary-value problem

$-(\varphi_p(u') ) '=\lambda \varphi_q(u) +f(u)\quad\hbox{in } (0,1)\,,\quad u(0) =u(1) =0\,,$

where $p,q, \varphi_x(y) =|y|^{x-2}y, \lambda $ is a real parameter, and $f$ is a function which may be sublinear, superlinear, or asymmetric. We use the time map method for showing the existence of solutions.
Classification : 34B15
Keywords: multiple solutions, elliptic boundary-value problems 
@article{EJDE_1999__1999__a110,
     author = {Addou,  Idris},
     title = {Multiplicity of solutions for quasilinear elliptic boundary-value problems},
     journal = {Electronic journal of differential equations},
     year = {1999},
     volume = {1999},
     zbl = {0923.34026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a110/}
}
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%0 Journal Article
%A Addou,  Idris
%T Multiplicity of solutions for quasilinear elliptic boundary-value problems
%J Electronic journal of differential equations
%D 1999
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Addou,  Idris. Multiplicity of solutions for quasilinear elliptic boundary-value problems. Electronic journal of differential equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a110/