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Pan, Yifei; Yan, Yu

A Liouville-type theorem for the inequality \(\Delta u \geq f(u)\). (English) Zbl 1487.35141

Rocky Mt. J. Math. 51, No. 5, 1807-1819 (2021).
Summary: We prove a Liouville-type theorem for the entire solutions of \(\Delta u \geq f (u)\), complementing a classical result by R. Osserman [Pac. J. Math. 7, 1641–1647 (1957; Zbl 0083.09402)].

Cited in 1 Document

MSC:

35B53 Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs
35B08 Entire solutions to PDEs
35R45 Partial differential inequalities and systems of partial differential inequalities

Keywords:

Liouville theorem; entire solutions

Citations:

Zbl 0083.09402
PDFBibTeX XMLCite
\textit{Y. Pan} and \textit{Y. Yan}, Rocky Mt. J. Math. 51, No. 5, 1807--1819 (2021; Zbl 1487.35141)
Full Text: DOI Link

References:

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