Geodesic
Multiplicity of solutions for quasilinear elliptic boundary-value problems
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Addou, Idris},
     title = {Multiplicity of solutions for quasilinear elliptic boundary-value problems},
     journal = {Electronic Journal of Differential Equations},
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     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a12/}
}
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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__a12/