Multiplicity of Solutions for Quasilinear Elliptic Boundary-value Problems

Abstract

<p>This paper is concerned with the existence of multiple solutions to the boundary-value problem</p> <pre>-(φ_p(u'))' = λ_φq(u) + ƒ(u) in (0, 1) , u(0) = u(1) = 0,</pre> <p>where p, q > 1, φ_x(y) = |y|^x−2y, λ is a real parameter, and ƒ is a function which may be sublinear, superlinear, or asymmetric. We use the time map method for showing the existence of solutions.</p>