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- W4287904813 abstract "We study the inequality $$ {rm div}big(|x|^{-alpha}|nabla u|^{m-2}nabla ubig)geq (I_betaast u^p)u^q quadmbox{ in } B_1setminus{0}subset {mathbb R}^N, $$ where $alpha>0$, $Ngeq 1$, $m>1$, $p, q>m-1$ and $I_beta$ denotes the Riesz potential of order $betain(0, N)$. We obtain sharp conditions in terms of these parameters for which positive singular solutions exist. We further establish the asymptotic profile of singular solutions to the double inequality $$ a(I_betaast u^p)u^qgeq {rm div}big(|x|^{-alpha}|nabla u|^{m-2}nabla ubig)geq b(I_betaast u^p)u^q quadmbox{ in } B_1setminus{0}subset {mathbb R}^N, $$ where $ageq b>0$ are constants." @default.
- W4287904813 created "2022-07-26" @default.
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- W4287904813 date "2020-01-13" @default.
- W4287904813 modified "2023-10-13" @default.
- W4287904813 title "Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms" @default.
- W4287904813 doi "https://doi.org/10.1016/j.na.2020.111857" @default.
- W4287904813 hasPublicationYear "2020" @default.
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