Global bifurcation of sign-changing radial solutions of elliptic equations of order 2m in annular domains

Global bifurcation of sign-changing radial solutions of elliptic equations of order 2m in annular domains

In this paper we study the global bifurcation of sign-changing radial solutions for some semilinear elliptic problems of order 2m in an annulus with Dirichlet boundary conditions. Keywords: 2m-th order elliptic equation; sign-changing radial solutions; eigenvalue; bifurcation Mathematics Subject Cla...

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Veröffentlicht in:AIMS Mathematics 2020-01, Vol.5 (5), p.4909-4916
Hauptverfasser: Ma, Ruyun, Yan, Dongliang, Wei, Liping
Format: Artikel
Sprache:eng
Schlagworte:
2m-th order elliptic equation
bifurcation
eigenvalue
sign-changing radial solutions
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Zusammenfassung:In this paper we study the global bifurcation of sign-changing radial solutions for some semilinear elliptic problems of order 2m in an annulus with Dirichlet boundary conditions. Keywords: 2m-th order elliptic equation; sign-changing radial solutions; eigenvalue; bifurcation Mathematics Subject Classification: 35J40, 35G30, 34B27, 47H11
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020313