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- W2912155920 abstract "Abstract The main result of this work is a new extension of the well-known inequality by Díaz and Saa which, in our case, involves an anisotropic operator, such as the p ( x )-Laplacian, $Delta _{p(x)}uequiv {rm div}( vert nabla u vert ^{p(x)-2}nabla u)$ . Our present extension of this inequality enables us to establish several new results on the uniqueness of solutions and comparison principles for some anisotropic quasilinear elliptic equations. Our proofs take advantage of certain convexity properties of the energy functional associated with the p ( x )-Laplacian." @default.
- W2912155920 created "2019-02-21" @default.
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- W2912155920 date "2019-01-24" @default.
- W2912155920 modified "2023-10-16" @default.
- W2912155920 title "A <i>p</i>(<i>x</i>)-Laplacian extension of the Díaz-Saa inequality and some applications" @default.
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- W2912155920 doi "https://doi.org/10.1017/prm.2018.91" @default.
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