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

^*Corresponding author for this work

Mathematics

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

Keywords

Cauchy problem
Global nonexistence
P-Laplacian equation

ASJC Scopus subject areas

Analysis
Statistical and Nonlinear Physics
Statistics and Probability

Access to Document

10.3390/fractalfract5040189

Cite this

@article{ed2a556d36b2498080cca845fa14c280,

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",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = dec,

doi = "10.3390/fractalfract5040189",

language = "English",

volume = "5",

journal = "Fractal and Fractional",

issn = "2504-3110",

publisher = "MDPI AG",

number = "4",

}

TY - JOUR

T1 - Nonexistence of global positive solutions for p-laplacian equations with non-linear memory

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 - http://www.scopus.com/inward/record.url?scp=85118389620&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85118389620&partnerID=8YFLogxK

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

IS - 4

M1 - 189

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this