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On some nonlocal eigenvalue problems - MaRDI portal

On some nonlocal eigenvalue problems (Q449511)

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scientific article; zbMATH DE number 6074664
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On some nonlocal eigenvalue problems
scientific article; zbMATH DE number 6074664

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    On some nonlocal eigenvalue problems (English)
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    30 August 2012
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    The authors establish the existence of two nontrivial solutions for a nonlocal Dirichlet boundary value problem. The approach is based on Morse theory by computing relevant critical groups. Certain nonlocal eigenvalue problems are also studied.
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    nonlocal eigenvalue problems
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    minimax eigenvalues
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    \(\mathbb{Z}_2\)-cohomological index
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    nontrivial critical groups
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    nonlocal boundary value problems
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    multiplicity
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    Morse theory
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