Existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces

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作者
Benkirane, A. [1 ]
Elmahi, A. [1 ]
机构
[1] Faculte des Sciences Dhar Mahraz, Fes, Morocco
关键词
Integrodifferential equations - Problem solving - Theorem proving;
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摘要
The existence of solutions to the Dirichlet problem for the strongly nonlinear elliptic equation: A(u)+g(x, u, u) = f in Ω (1), have been derived in Orlicz spaces for nonlinearities with natural growth conditions, non-natural growth conditions and polynomial growth conditions. A similar theorem is proven by assuming a more natural growth condition.
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页码:11 / 24
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