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Multiplicity results for nonlocal critical elliptic problems - MaRDI portal

Multiplicity results for nonlocal critical elliptic problems (Q6658732)

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scientific article; zbMATH DE number 7963314
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Multiplicity results for nonlocal critical elliptic problems
scientific article; zbMATH DE number 7963314

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    Multiplicity results for nonlocal critical elliptic problems (English)
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    8 January 2025
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    In this paper, the authors investigate the existence of multiple solutions for a fractional equation involving the fractional \(p\)-Laplacian in bounded domain, where the nonlinearity depends on a parameter \(\lambda\). Notably, they demonstrate that the number of solutions becomes unbounded as \(\lambda\to\infty\). The proofs rely on an abstract critical point theorem.
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    critical point theory
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    multiple solutions
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    eigenvalue problems
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