Qualitative Properties of Solutions to a Class of Sixth-Order Equations
In this paper, we present a detailed study of a class of sixth-order semilinear PDEs: existence, regularity and uniqueness. The uniqueness results are a consequence of a maximum principle called the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/6/1280 |
| _version_ | 1797610328850169856 |
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| author | Cristian-Paul Danet |
| author_facet | Cristian-Paul Danet |
| author_sort | Cristian-Paul Danet |
| collection | DOAJ |
| description | In this paper, we present a detailed study of a class of sixth-order semilinear PDEs: existence, regularity and uniqueness. The uniqueness results are a consequence of a maximum principle called the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="normal">P</mi></semantics></math></inline-formula>-function method. |
| first_indexed | 2024-03-11T06:12:58Z |
| format | Article |
| id | doaj.art-0462a069fcf2435494d6c5125dc2f51a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T06:12:58Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-0462a069fcf2435494d6c5125dc2f51a2023-11-17T12:26:24ZengMDPI AGMathematics2227-73902023-03-01116128010.3390/math11061280Qualitative Properties of Solutions to a Class of Sixth-Order EquationsCristian-Paul Danet0Department of Applied Mathematics, University of Craiova, Al. I. Cuza St., 13, 200585 Craiova, RomaniaIn this paper, we present a detailed study of a class of sixth-order semilinear PDEs: existence, regularity and uniqueness. The uniqueness results are a consequence of a maximum principle called the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="normal">P</mi></semantics></math></inline-formula>-function method.https://www.mdpi.com/2227-7390/11/6/1280sixth-order equationexistenceuniquenessregularitymaximum principle |
| spellingShingle | Cristian-Paul Danet Qualitative Properties of Solutions to a Class of Sixth-Order Equations Mathematics sixth-order equation existence uniqueness regularity maximum principle |
| title | Qualitative Properties of Solutions to a Class of Sixth-Order Equations |
| title_full | Qualitative Properties of Solutions to a Class of Sixth-Order Equations |
| title_fullStr | Qualitative Properties of Solutions to a Class of Sixth-Order Equations |
| title_full_unstemmed | Qualitative Properties of Solutions to a Class of Sixth-Order Equations |
| title_short | Qualitative Properties of Solutions to a Class of Sixth-Order Equations |
| title_sort | qualitative properties of solutions to a class of sixth order equations |
| topic | sixth-order equation existence uniqueness regularity maximum principle |
| url | https://www.mdpi.com/2227-7390/11/6/1280 |
| work_keys_str_mv | AT cristianpauldanet qualitativepropertiesofsolutionstoaclassofsixthorderequations |