Nonexistence of global positive solutions for p-laplacian equations with non-linear memory

Mokhtar Kirane; Ahmad Z. Fino; Sebti Kerbal

doi:10.3390/fractalfract5040189

Nonexistence of global positive solutions for p-laplacian equations with non-linear memory

Mokhtar Kirane
, Ahmad Z. Fino
, Sebti Kerbal

Mathematics

Sultane Qaboos University

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

Abstract

The Cauchy problem in R^d, d ≥ 1, for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the test function method is obtained.

Original language	British English
Article number	189
Journal	Fractal and Fractional
Volume	5
Issue number	4
DOIs	https://doi.org/10.3390/fractalfract5040189
State	Published - Dec 2021

Keywords

Cauchy problem
Global nonexistence
P-Laplacian equation

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title = "Nonexistence of global positive solutions for p-laplacian equations with non-linear memory",

abstract = "The Cauchy problem in Rd, d ≥ 1, for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the test function method is obtained.",

keywords = "Cauchy problem, Global nonexistence, P-Laplacian equation",

author = "Mokhtar Kirane and Fino, \{Ahmad Z.\} and Sebti Kerbal",

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year = "2021",

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doi = "10.3390/fractalfract5040189",

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journal = "Fractal and Fractional",

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AU - Kirane, Mokhtar

AU - Fino, Ahmad Z.

AU - Kerbal, Sebti

PY - 2021/12

Y1 - 2021/12

N2 - The Cauchy problem in Rd, d ≥ 1, for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the test function method is obtained.

AB - The Cauchy problem in Rd, d ≥ 1, for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the test function method is obtained.

KW - Cauchy problem

KW - Global nonexistence

KW - P-Laplacian equation

UR - https://www.scopus.com/pages/publications/85118389620

U2 - 10.3390/fractalfract5040189

DO - 10.3390/fractalfract5040189

M3 - Article

AN - SCOPUS:85118389620

SN - 2504-3110

VL - 5

JO - Fractal and Fractional

JF - Fractal and Fractional

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M1 - 189

ER -

Nonexistence of global positive solutions for p-laplacian equations with non-linear memory

Abstract

Keywords

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