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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/5/4/189 |
| _version_ | 1797504474647887872 |
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| author | Mokhtar Kirane Ahmad Z. Fino Sebti Kerbal |
| author_facet | Mokhtar Kirane Ahmad Z. Fino Sebti Kerbal |
| author_sort | Mokhtar Kirane |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T04:05:06Z |
| format | Article |
| id | doaj.art-2dc315fd339846a282ca0c25f77cc51d |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:05:06Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-2dc315fd339846a282ca0c25f77cc51d2023-11-23T08:23:30ZengMDPI AGFractal and Fractional2504-31102021-10-015418910.3390/fractalfract5040189Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear MemoryMokhtar Kirane0Ahmad Z. Fino1Sebti Kerbal2Department of Mathematics, Faculty of Arts and Science, Khalifa University, Abu Dhabi 127788, United Arab EmiratesFracDiff Research Group (DR/RG/03), Department of Mathematics, Sultan Qaboos University, Al-Khoud 123, Muscat P.O. Box 46, OmanFracDiff Research Group (DR/RG/03), Department of Mathematics, Sultan Qaboos University, Al-Khoud 123, Muscat P.O. Box 46, OmanThe 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.https://www.mdpi.com/2504-3110/5/4/189Cauchy problemp-Laplacian equationglobal nonexistence |
| spellingShingle | Mokhtar Kirane Ahmad Z. Fino Sebti Kerbal Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory Fractal and Fractional Cauchy problem p-Laplacian equation global nonexistence |
| title | Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory |
| title_full | Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory |
| title_fullStr | Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory |
| title_full_unstemmed | Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory |
| title_short | Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory |
| title_sort | nonexistence of global positive solutions for p laplacian equations with non linear memory |
| topic | Cauchy problem p-Laplacian equation global nonexistence |
| url | https://www.mdpi.com/2504-3110/5/4/189 |
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