Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth
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Abstract In this paper, we prove a global Calderón-Zygmund type estimate in the framework of Lorentz spaces for a variable power of the gradients to the zero-Dirichlet problem of general nonlinear elliptic equations with the nonlinearities satisfying Orlicz growth. It is mainly assumed that the variable exponents p(x) satisfy the log-Hölder continuity, while the nonlinearity and underlying domain (A, Ω) is (δ, R0)-vanishing in x ∈ Ω.
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2021 ◽
Vol 7
(2)
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pp. 277-298
2011 ◽
Vol 43
(3-4)
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pp. 463-484
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2011 ◽
Vol 349
(15-16)
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pp. 889-892
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2019 ◽
Vol 5
(2)
◽
pp. 164-178
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