Geodesic
Strong barriers for weighted quasilinear equations
Takanobu Hara1
1Tohoku University, Graduate School of Science
Annales Fennici Mathematici, Tome 49 (2024) no. 2, p. 529–545

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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.
DOI : 10.54330/afm.147579
Keywords: Potential theory, Hardy inequality, p-Laplacian, quasilinear elliptic equation, boundary value problem, boundary regularity

Takanobu Hara  1

1 Tohoku University, Graduate School of Science 
Takanobu Hara. Strong barriers for weighted quasilinear equations. Annales Fennici Mathematici, Tome 49 (2024) no. 2, p. 529–545. doi: 10.54330/afm.147579
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