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- W4280496538 abstract "We consider semilinear elliptic second-order partial differential inequalities of the form (*) Lu+|u|q−1u≤Lv+|v|q−1v(*) in the whole space Rn, where n≥2, q>0 and L is a linear elliptic second-order partial differential operator in divergence form. We assume that the coefficients of the operator L are measurable and locally bounded such that the quadratic form associated with the operator L is symmetric and non-negative definite. We obtain a Liouville comparison principle in terms of capacities associated with the operator L for solutions of (*) which are measurable and belong locally in Rn to a Sobolev-type function space also associated with the operator L." @default.
- W4280496538 created "2022-05-22" @default.
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- W4280496538 date "2022-05-16" @default.
- W4280496538 modified "2023-09-28" @default.
- W4280496538 title "A Liouville comparison principle for semilinear elliptic second-order inequalities" @default.
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- W4280496538 doi "https://doi.org/10.1080/17476933.2022.2069755" @default.
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