Anisotropic \((p, q)\)-equations with convex and negative concave terms (Q6601639)

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scientific article; zbMATH DE number 7910316
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Anisotropic \((p, q)\)-equations with convex and negative concave terms
scientific article; zbMATH DE number 7910316

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    Anisotropic \((p, q)\)-equations with convex and negative concave terms (English)
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    10 September 2024
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    The authors study a parametric Dirichlet problem driven by the \((p(x),q(x))\)-Laplacian operator and with a reaction term which combines superlinearity and sublinearity behaviours. The existence of at least three solutions (two of them of constant sign) is provided using variational tools as well as critical groups.\N\NFor the entire collection see [Zbl 1515.46001].
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    \((p,q)\)-Laplacian
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    Dirichlet problem
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    existence of at least three solutions
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