February 15, 2024Open Access

The Dirichlet problem for the p (x) -Laplacian with unbounded exponent p (x)

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Abstract

We prove the solvability of the Dirichlet problem for the variable exponent p-Laplacian with boundary data in W^1, p (x) () on a bounded, smooth domain Rⁿ. Our main focus will be on an a. e. finite variable exponent p () with n < ₗ p (x) and ₗ p (x) = under the sole assumption that p C ().

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Khamsi et al. (Thu,) studied this question.

synapsesocial.com/papers/68e79181b6db643587703017 https://doi.org/https://doi.org/10.48550/arxiv.2402.10364

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