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Existence results for some Dirichlet problems involving Finsler-Laplacian operator - MaRDI portal

Existence results for some Dirichlet problems involving Finsler-Laplacian operator (Q2416450)

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Existence results for some Dirichlet problems involving Finsler-Laplacian operator
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    Existence results for some Dirichlet problems involving Finsler-Laplacian operator (English)
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    23 May 2019
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    Using the famous Leray-Schauder theorem and the Krasnosel'skii-type fixed point theorem proved by \textit{R. Precup} [Topol. Methods Nonlinear Anal. 40, No. 2, 301--313 (2012; Zbl 1282.35176)], the authors prove the existence and localization results for two Dirichlet problems involving the Finsler-Laplacian operator.
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    variational method
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    fixed point theory
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    Leray-Schauder alternative
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    Harnack inequality
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    Krasnosel'skii theorem
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    Finsler-Laplacian equation
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