𝑊𝟐,𝟐 A Priori Bounds for a Class of Elliptic Operators
We obtain some 𝑊2,2 a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/572824 |
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| _version_ | 1832564956670722048 |
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| author | Sara Monsurrò Maria Salvato Maria Transirico |
| author_facet | Sara Monsurrò Maria Salvato Maria Transirico |
| author_sort | Sara Monsurrò |
| collection | DOAJ |
| description | We obtain some 𝑊2,2 a priori
bounds for a class of uniformly elliptic second-order differential
operators, both in a no-weighted and in a weighted case. We deduce
a uniqueness and existence theorem for the related Dirichlet
problem in some weighted Sobolev spaces on unbounded domains. |
| format | Article |
| id | doaj-art-582536c9828a4d56ac4fabd15f76a16b |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-582536c9828a4d56ac4fabd15f76a16b2025-02-03T01:09:50ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/572824572824𝑊𝟐,𝟐 A Priori Bounds for a Class of Elliptic OperatorsSara Monsurrò0Maria Salvato1Maria Transirico2Dipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano, ItalyDipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano, ItalyDipartimento di Matematica, Università di Salerno, Via Ponte Don Melillo, 84084 Fisciano, ItalyWe obtain some 𝑊2,2 a priori bounds for a class of uniformly elliptic second-order differential operators, both in a no-weighted and in a weighted case. We deduce a uniqueness and existence theorem for the related Dirichlet problem in some weighted Sobolev spaces on unbounded domains.http://dx.doi.org/10.1155/2011/572824 |
| spellingShingle | Sara Monsurrò Maria Salvato Maria Transirico 𝑊𝟐,𝟐 A Priori Bounds for a Class of Elliptic Operators International Journal of Differential Equations |
| title | 𝑊𝟐,𝟐
A Priori Bounds for a Class of Elliptic Operators |
| title_full | 𝑊𝟐,𝟐
A Priori Bounds for a Class of Elliptic Operators |
| title_fullStr | 𝑊𝟐,𝟐
A Priori Bounds for a Class of Elliptic Operators |
| title_full_unstemmed | 𝑊𝟐,𝟐
A Priori Bounds for a Class of Elliptic Operators |
| title_short | 𝑊𝟐,𝟐
A Priori Bounds for a Class of Elliptic Operators |
| title_sort | 𝑊𝟐 𝟐 a priori bounds for a class of elliptic operators |
| url | http://dx.doi.org/10.1155/2011/572824 |
| work_keys_str_mv | AT saramonsurro w22aprioriboundsforaclassofellipticoperators AT mariasalvato w22aprioriboundsforaclassofellipticoperators AT mariatransirico w22aprioriboundsforaclassofellipticoperators |