Solutions of the mean curvature equation with the Nehari manifold

J. Vanterler da C. Sousa,D. S. Oliveira,Leandro S. Tavares

Computational and Applied Mathematics（2024）

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摘要

In this manuscript, it is introduced a new mean curvature operator which involves a φ -Hilfer fractional operator ( φ -HFO) and variable exponents and appropriated fractional spaces to consider the problem. By means of the Nehari manifold technique, it is obtained existence and multiplicity results.

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关键词

Nehari manifold,Fractional κ (ξ ) -Laplacian,φ -Fractional space ℋ^α , β , φ_κ (ξ ),Variational methods

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