Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory

Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory

The Cauchy problem in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup><mo>,</mo></m...

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מידע ביבליוגרפי
Main Authors: Mokhtar Kirane, Ahmad Z. Fino, Sebti Kerbal
פורמט: Article
שפה:English
יצא לאור: MDPI AG 2021-10-01
סדרה:Fractal and Fractional
נושאים:
Cauchy problem
p-Laplacian equation
global nonexistence
גישה מקוונת:https://www.mdpi.com/2504-3110/5/4/189
תיאור
סיכום:The Cauchy problem in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup><mo>,</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>≥</mo><mn>1</mn><mo>,</mo></mrow></semantics></math></inline-formula> 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.
ISSN:2504-3110

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