New nonlinear Picone identities with variable exponents and applications
Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 4, pp. 459-473
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This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.
This paper introduces two novel nonlinear anisotropic Picone identities with variable exponents that expand upon the traditional identity used for the ordinary Laplace equation. Additionally, the research explores potential applications of these findings in anisotropic Sobolev spaces featuring variable exponents.
DOI : 10.14712/1213-7243.2024.012
Classification : 35A02, 35A23, 35J75
Keywords: anisotropic Picone identity; variable exponent
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Khelifi, Hichem; El Hadfi, Youssef. New nonlinear Picone identities with variable exponents and applications. Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 4, pp. 459-473. doi: 10.14712/1213-7243.2024.012

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