Multiplicity of Solutions for Quasilinear Elliptic Boundary-value Problems
Date
1999-06-16
Authors
Addou, Idris
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This paper is concerned with the existence of multiple solutions to the boundary-value problem
-(φp(u'))' = λφq(u) + ƒ(u) in (0, 1) , u(0) = u(1) = 0,
where p, q > 1, φx(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.
Description
Keywords
Multiple solutions, Elliptic boundary-value problems
Citation
Addou, I. (1999). Multiplicity of solutions for quasilinear elliptic boundary-value problems. <i>Electronic Journal of Differential Equations, 1999</i>(21), pp. 1-27.
Rights
Attribution 4.0 International