An intrinsic Liouville theorem for degenerate parabolic equations

Eduardo V. Teixeira; José Miguel Urbano

doi:10.1007/s00013-014-0648-y

An intrinsic Liouville theorem for degenerate parabolic equations

Eduardo V. Teixeira, José Miguel Urbano

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We show that weak solutions of the degenerate p-Laplace equation ut - div ({pipe}∇u{pipe}p-2∇u) = 0, p > 2 in the whole space are constant if their growth at infinity is properly controlled in an intrinsic manner. © 2014 Springer Basel.

Original language	English (US)
Pages (from-to)	483-487
Number of pages	5
Journal	Archiv der Mathematik
Volume	102
Issue number	5
DOIs	https://doi.org/10.1007/s00013-014-0648-y
State	Published - Jan 1 2014
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "An intrinsic Liouville theorem for degenerate parabolic equations",

abstract = "We show that weak solutions of the degenerate p-Laplace equation ut - div ({pipe}∇u{pipe}p-2∇u) = 0, p > 2 in the whole space are constant if their growth at infinity is properly controlled in an intrinsic manner. {\textcopyright} 2014 Springer Basel.",

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AB - We show that weak solutions of the degenerate p-Laplace equation ut - div ({pipe}∇u{pipe}p-2∇u) = 0, p > 2 in the whole space are constant if their growth at infinity is properly controlled in an intrinsic manner. © 2014 Springer Basel.

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UR - http://www.scopus.com/inward/record.url?scp=84902010359&partnerID=8YFLogxK

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DO - 10.1007/s00013-014-0648-y

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JO - Archiv der Mathematik

JF - Archiv der Mathematik

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ER -

An intrinsic Liouville theorem for degenerate parabolic equations

Abstract

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