Liouville type problem for the steady p-Stokes system in the half-space

Kyungkeun Kang; Michael Růžička

doi:10.1016/j.jde.2024.09.014

Liouville type problem for the steady p-Stokes system in the half-space

Kyungkeun Kang, Michael Růžička

Department of Mathematics

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

Abstract

We study the Liouville problem for the steady p-Stokes system in the half-space. We prove that a bounded weak solution of the p-Stokes system with p>1 vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that [Formula presented].

Original language	English
Pages (from-to)	455-486
Number of pages	32
Journal	Journal of Differential Equations
Volume	414
DOIs	https://doi.org/10.1016/j.jde.2024.09.014
Publication status	Published - 2025 Jan 5

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© 2024 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2024.09.014

Cite this

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title = "Liouville type problem for the steady p-Stokes system in the half-space",

abstract = "We study the Liouville problem for the steady p-Stokes system in the half-space. We prove that a bounded weak solution of the p-Stokes system with p>1 vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that [Formula presented].",

keywords = "Liouville type problem, p-Stokes type problem",

author = "Kyungkeun Kang and Michael Rů{\v z}i{\v c}ka",

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day = "5",

doi = "10.1016/j.jde.2024.09.014",

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AU - Kang, Kyungkeun

AU - Růžička, Michael

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N2 - We study the Liouville problem for the steady p-Stokes system in the half-space. We prove that a bounded weak solution of the p-Stokes system with p>1 vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that [Formula presented].

AB - We study the Liouville problem for the steady p-Stokes system in the half-space. We prove that a bounded weak solution of the p-Stokes system with p>1 vanishes in two dimensions. For the three dimensional case, the same result is concluded, provided that [Formula presented].

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KW - p-Stokes type problem

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VL - 414

SP - 455

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Liouville type problem for the steady p-Stokes system in the half-space

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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