Displaying similar documents to “Regularity for nonlinear elliptic systems of second order”

Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points

Jan Malý (1996)

Commentationes Mathematicae Universitatis Carolinae

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Let u be a weak solution of a quasilinear elliptic equation of the growth p with a measure right hand term μ . We estimate u ( z ) at an interior point z of the domain Ω , or an irregular boundary point z Ω , in terms of a norm of u , a nonlinear potential of μ and the Wiener integral of 𝐑 n Ω . This quantifies the result on necessity of the Wiener criterion.