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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).
Citation: 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

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

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 .

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