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Low perturbations for a class of nonuniformly elliptic problems - MaRDI portal

Low perturbations for a class of nonuniformly elliptic problems (Q2191573)

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Low perturbations for a class of nonuniformly elliptic problems
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    Low perturbations for a class of nonuniformly elliptic problems (English)
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    25 June 2020
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    The authors introduce and study a new functional motivated by the recent work of \textit{A. Bahrouni} et al. [Nonlinearity 31, No. 4, 1516--1534 (2018; Zbl 1394.35178)] dealing on the Caffarelli-Kohn-Nirenberg inequality with variable exponent. The corresponding eigenvalue problem related to the new functional is also studied.
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    Caffarelli-Kohn-Nirenberg inequality
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    eigenvalue problem
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    critical point theorem
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    generalized Lebesgue-Sobolev space
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    Luxemburg norm
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