On Multiplicity of Solutions to Semilinear Elliptic Equations Involving General Subcritical Growth

DUAN Yu,SUN Xin,ZHANG Yun-yan

Journal of Southwest China Normal University(Natural Science Edition)

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2015 Volume 40 Issue 8

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DUAN Yu,SUN Xin,ZHANG Yun-yan. On Multiplicity of Solutions to Semilinear Elliptic Equations Involving General Subcritical Growth[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(8).

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DUAN Yu,SUN Xin,ZHANG Yun-yan. On Multiplicity of Solutions to Semilinear Elliptic Equations Involving General Subcritical Growth[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(8).

On Multiplicity of Solutions to Semilinear Elliptic Equations Involving General Subcritical Growth

DUAN Yu,SUN Xin,ZHANG Yun-yan

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Abstract

The following semilinear elliptic equations with Dirichlet boundary value conditions - Δu = f (x ,u) x ∈ Ω u = 0 x ∈ ?Ω has been studied in this paper .Under certain assumptions on nonlinear f with more general subcritical grow th conditions ,some new multiplicity results of nontrivial solutions are established via morse theory and local linking .
- Dirchlet problem，Morse theory，local linking，multiple solutions,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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