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arXiv · 2211.12183

Strong barriers for weighted quasilinear equations

Takanobu Hara
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Abstract

In potential theory, use of barriers is one of the most important techniques. We construct strong barriers for weighted quasilinear elliptic operators. There are two applications: (i) solvability of Poisson-type equations with boundary singular data, and (ii) a geometric version of Hardy inequality. Our construction method can be applied to a general class of divergence form elliptic operators on domains with rough boundary.

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Takanobu Hara. 2022-11-22. Strong barriers for weighted quasilinear equations. https://doi.org/10.54330/afm.147579

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