On the absence of global weak solutions for some differential inequalities of Sobolev type in an exterior domain

Mohamed Jleli; Mokhtar Kirane; Bessem Samet

doi:10.1002/mma.5080

On the absence of global weak solutions for some differential inequalities of Sobolev type in an exterior domain

Mohamed Jleli, Mokhtar Kirane, Bessem Samet

Mathematics

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1 Scopus citations

Abstract

In this paper, using the nonlinear capacity method, we derive sufficient conditions for the nonexistence of global weak solutions for some differential inequalities of Sobolev type posed in an exterior domain of (Formula presented.), N ≥ 3. The obtained results are extensions of those established by Korpusov and Sveshnikov in the case of the entire space (Formula presented.).

Original language	British English
Pages (from-to)	5293-5307
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	13
DOIs	https://doi.org/10.1002/mma.5080
State	Published - 15 Sep 2018

Keywords

differential inequalities of Sobolev type
exterior domain
global weak solution
nonexistence

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10.1002/mma.5080

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title = "On the absence of global weak solutions for some differential inequalities of Sobolev type in an exterior domain",

abstract = "In this paper, using the nonlinear capacity method, we derive sufficient conditions for the nonexistence of global weak solutions for some differential inequalities of Sobolev type posed in an exterior domain of (Formula presented.), N ≥ 3. The obtained results are extensions of those established by Korpusov and Sveshnikov in the case of the entire space (Formula presented.).",

keywords = "differential inequalities of Sobolev type, exterior domain, global weak solution, nonexistence",

author = "Mohamed Jleli and Mokhtar Kirane and Bessem Samet",

note = "Funding Information: The first and the third named authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No. RGP-237. Publisher Copyright: Copyright {\textcopyright} 2018 John Wiley & Sons, Ltd.",

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AU - Jleli, Mohamed

AU - Kirane, Mokhtar

AU - Samet, Bessem

N1 - Funding Information: The first and the third named authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group No. RGP-237. Publisher Copyright: Copyright © 2018 John Wiley & Sons, Ltd.

PY - 2018/9/15

Y1 - 2018/9/15

N2 - In this paper, using the nonlinear capacity method, we derive sufficient conditions for the nonexistence of global weak solutions for some differential inequalities of Sobolev type posed in an exterior domain of (Formula presented.), N ≥ 3. The obtained results are extensions of those established by Korpusov and Sveshnikov in the case of the entire space (Formula presented.).

AB - In this paper, using the nonlinear capacity method, we derive sufficient conditions for the nonexistence of global weak solutions for some differential inequalities of Sobolev type posed in an exterior domain of (Formula presented.), N ≥ 3. The obtained results are extensions of those established by Korpusov and Sveshnikov in the case of the entire space (Formula presented.).

KW - differential inequalities of Sobolev type

KW - exterior domain

KW - global weak solution

KW - nonexistence

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DO - 10.1002/mma.5080

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 13

ER -

On the absence of global weak solutions for some differential inequalities of Sobolev type in an exterior domain

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Keywords

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