Multiplicity of Solutions for Quasilinear Elliptic Boundary-value Problems
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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.
CitationAddou, I. (1999). Multiplicity of solutions for quasilinear elliptic boundary-value problems. Electronic Journal of Differential Equations, 1999(21), pp. 1-27.
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