Asymptotically linear cooperative elliptic system: existence and multiplicity (Q1863482)

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scientific article; zbMATH DE number 1879992
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Asymptotically linear cooperative elliptic system: existence and multiplicity
scientific article; zbMATH DE number 1879992

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    Asymptotically linear cooperative elliptic system: existence and multiplicity (English)
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    11 March 2003
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    Making use of Morse theory and penalization technique, the author establishes existence and multiplicity results for a nonlinear elliptic system with Dirichlet boundary condition. A basic assumption involves the asymptotic linearity. The resonance at infinity is studied.
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    nonlinear elliptic system
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    Morse theory
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    penalization
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    resonance
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