Abstract
In this paper, we prove the existence of weak solutions for a class of nonlinear weighted elliptic equations in \(\Omega \) with p(x) growth conditions and integrable data. The functional setting involves Lebesgue-Sobolev spaces with variable exponents. Our results are generalizations of the corresponding results in the constant exponent case in L. Boccardo et al (Boll. Unione Mat. Ital. 15, No. 4, 503-514 (2022)) and some results given in D. Arcoya et al ( Journal of Functional Analysis, 268(5), 1153-1166 (2015)).
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The autor is grateful to the editor and anonymous reviewer for their constructive comments and valuable suggestions which certainly improved the presentation and quality of the paper.
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Mecheter, R. Nonlinear weighted elliptic problem with variable exponents and \(L^1\) data. Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00627-y
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DOI: https://doi.org/10.1007/s13226-024-00627-y