[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2022.002

MULTIPLICITY OF POSITIVE SOLUTIONS TO SCHRÖDINGER-TYPE POSITONE PROBLEMS

Ko, Eunkyung (Major in Mathematics, College of Natural Science, Keimyung University)

Publication Information

East Asian mathematical journal / v.38, no.1, 2022 , pp. 13-20 More about this Journal

Abstract

We establish multiplicity results for positive solutions to the Schrödinger-type singular positone problem: -∆u + V (x)u = λf(u) in Ω, u = 0 on ∂Ω, where Ω is a bounded domain in ℝ^N, N > 2, λ is a positive parameter, V ∈ L^∞(Ω) and f : [0, ∞) → (0, ∞) is a continuous function. In particular, when f is sublinear at infinity we discuss the existence of at least three positive solutions for a certain range of λ. The proofs are mainly based on the sub- and supersolution method.

Keywords

Schrodinger-type problem; positive solution; multiplicity;

Citations & Related Records

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