Multiplicity of Solutions for Quasilinear Elliptic Boundary-value Problems

Date

1999-06-16

Authors

Addou, Idris

Journal Title

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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.

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Attribution 4.0 International

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