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- W4299919512 abstract "Let $L $ be a second order elliptic operator with smooth coefficients defined on a domain $Omega subset mathbb{R}^d$ (possibly unbounded), $dgeq 3$. We study nonnegative continuous solutions $u$ to the equation $L u(x) - varphi (x, u(x))=0$ on $Omega $, where $varphi $ is in the Kato class with respect to the first variable and it grows sublinearly with respect to the second variable. Under fairly general assumptions we prove that if there is a bounded non zero solution then there is no large solution." @default.
- W4299919512 created "2022-10-03" @default.
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- W4299919512 date "2017-10-13" @default.
- W4299919512 modified "2023-10-18" @default.
- W4299919512 title "Large versus bounded solutions to sublinear elliptic problems" @default.
- W4299919512 doi "https://doi.org/10.48550/arxiv.1710.04922" @default.
- W4299919512 hasPublicationYear "2017" @default.
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