Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points
Malý, Jan
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 23-42 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1996-01-01
Classification:  35B45,  35D05,  35J65,  35J67,  35J70,  35R05 
@article{118812,
     author = {Jan Mal\'y},
     title = {Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {23-42},
     zbl = {0851.35047},
     mrnumber = {1396160},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118812}
}

Malý, Jan. Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 23-42. http://gdmltest.u-ga.fr/item/118812/

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