Multiplicity of solutions for quasilinear elliptic boundary-value problems

• Main Author: Idris Addou
• Format: Article
• Language: English
• Published: Texas State University 1999-06-01
• Series: Electronic Journal of Differential Equations
• Subjects: Multiple solutions; elliptic boundary-value problems.
• Online Access: http://ejde.math.txstate.edu/Volumes/1999/21/abstr.html

This paper is concerned with the existence of multiple solutions to the boundary-value problem $$-(varphi_p(u') ) '=lambda varphi_q(u) +f(u)quadhbox{in } (0,1),,quad u(0) =u(1) =0,,$$ where $p,q>1$, $varphi_x(y) =|y|^{x-2}y$, $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.