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UPA Perpustakaan Universitas Jember

A note on regularity of solutions for degenerate singular elliptic boundary value problems

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We prove the C1,β-boundary regularity and a comparison principle for weak
solutions of the problem
 u āˆ’ =p0 on u āˆ’ λψp(u) = f (x) in , āˆ‚,
where  is a bounded domain in RN, N > 1 with smooth boundary āˆ‚, pu =
div(|āˆ‡u|pāˆ’2āˆ‡u), ψp(u) = |u|pāˆ’2u, p > 1, and f is allowed to be unbounded.

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