Geodesic
Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 23-42

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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 $\mu$. We estimate $u(z)$ at an interior point $z$ of the domain $\Omega$, or an irregular boundary point $z\in \partial\Omega$, in terms of a norm of $u$, a nonlinear potential of $\mu$ and the Wiener integral of $\bold R^n\setminus \Omega$. This quantifies the result on necessity of the Wiener criterion.
Classification : 35B45, 35D05, 35J65, 35J67, 35J70, 35R05
Keywords: elliptic equations; Wiener criterion; nonlinear potentials; measure data 
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     author = {Mal\'y, Jan},
     title = {Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {23--42},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {1996},
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     zbl = {0851.35047},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1996__37_1_a2/}
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Malý, Jan. Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 1, pp. 23-42. http://geodesic.mathdoc.fr/item/CMUC_1996__37_1_a2/