Nonexistence of Radial Positive Solutions for A Quasilinear Elliptic Equations nonpositone Problems in an Annulus

Wang, Weihui and Yang, Zuodong (2013) Nonexistence of Radial Positive Solutions for A Quasilinear Elliptic Equations nonpositone Problems in an Annulus. British Journal of Mathematics & Computer Science, 3 (1). pp. 1-11. ISSN 2231-0851

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Abstract

In this paper, our main purpose is studying the nonexistence of radial positive solutions for theboundary-value problem:{−4pu=λf(u(x)), x∈Ω;u(x) = 0,x∈∂Ω.wherep >1,λ >0,Ωis an annulus inRN(N >2)i.e.Ω={x∈RN|R <|x|<ˆR}(0< R <ˆR),fis a continuous nonlinear function and satisfiesf(0)<0(the nonpositone case),falso has morethan one zero.

Item Type: Article
Subjects: AP Academic Press > Mathematical Science
Depositing User: Unnamed user with email support@apacademicpress.com
Date Deposited: 30 Jun 2023 05:14
Last Modified: 08 Jun 2024 08:02
URI: http://info.openarchivespress.com/id/eprint/1633

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