Generalizations of the Lax-Milgram Theorem
<p/> <p>We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular, we give sufficient conditions for a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the latter. We...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2007/087104 |
| _version_ | 1819289597955276800 |
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| author | Yannakakis Nikos Drivaliaris Dimosthenis |
| author_facet | Yannakakis Nikos Drivaliaris Dimosthenis |
| author_sort | Yannakakis Nikos |
| collection | DOAJ |
| description | <p/> <p>We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular, we give sufficient conditions for a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the latter. We also give two applications to singular differential equations.</p> |
| first_indexed | 2024-12-24T03:09:23Z |
| format | Article |
| id | doaj.art-05ff743e8e4f454190220d428254f8bb |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-24T03:09:23Z |
| publishDate | 2007-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-05ff743e8e4f454190220d428254f8bb2022-12-21T17:17:51ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-01-0120071087104Generalizations of the Lax-Milgram TheoremYannakakis NikosDrivaliaris Dimosthenis<p/> <p>We prove a linear and a nonlinear generalization of the Lax-Milgram theorem. In particular, we give sufficient conditions for a real-valued function defined on the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the latter. We also give two applications to singular differential equations.</p>http://www.boundaryvalueproblems.com/content/2007/087104 |
| spellingShingle | Yannakakis Nikos Drivaliaris Dimosthenis Generalizations of the Lax-Milgram Theorem Boundary Value Problems |
| title | Generalizations of the Lax-Milgram Theorem |
| title_full | Generalizations of the Lax-Milgram Theorem |
| title_fullStr | Generalizations of the Lax-Milgram Theorem |
| title_full_unstemmed | Generalizations of the Lax-Milgram Theorem |
| title_short | Generalizations of the Lax-Milgram Theorem |
| title_sort | generalizations of the lax milgram theorem |
| url | http://www.boundaryvalueproblems.com/content/2007/087104 |
| work_keys_str_mv | AT yannakakisnikos generalizationsofthelaxmilgramtheorem AT drivaliarisdimosthenis generalizationsofthelaxmilgramtheorem |