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- W4289363266 abstract "In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the $p(x)$-Laplacian defined as $mbox{div}(|nabla u|^{p(x)-2} nabla u).$ Our extension provides a new version of the Diaz-Saa inequality and new uniqueness results to some quasilinear elliptic equations with variable exponents. This new Picone identity can be also used to prove some accretivity property to a class of fast diffusion equations involving variable exponents. Using this, we prove for this class of parabolic equations a new weak comparison principle." @default.
- W4289363266 created "2022-08-02" @default.
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- W4289363266 date "2018-10-27" @default.
- W4289363266 modified "2023-09-24" @default.
- W4289363266 title "A picone Identity for variable exponent operators and applications" @default.
- W4289363266 doi "https://doi.org/10.48550/arxiv.1810.11616" @default.
- W4289363266 hasPublicationYear "2018" @default.
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