Reverse Hardy–Littlewood–Sobolev inequalities
This paper is devoted to a new family of reverse Hardy–Littlewood–Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admissible parameters and the properties of the optimal functions. A striking open question is the possibility of concentrat...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2019
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| _version_ | 1797069896506408960 |
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| author | Carrillo de la Plata, JA Delgadino, MG Dolbeault, J Frank, RL Hoffmann, F |
| author_facet | Carrillo de la Plata, JA Delgadino, MG Dolbeault, J Frank, RL Hoffmann, F |
| author_sort | Carrillo de la Plata, JA |
| collection | OXFORD |
| description | This paper is devoted to a new family of reverse Hardy–Littlewood–Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admissible parameters and the properties of the optimal functions. A striking open question is the possibility of concentration which is analyzed and related with free energy functionals and nonlinear diffusion equations involving mean field drifts. |
| first_indexed | 2024-03-06T22:31:12Z |
| format | Journal article |
| id | oxford-uuid:5856ec39-de68-470e-9a2e-6fa4f799d78e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:31:12Z |
| publishDate | 2019 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:5856ec39-de68-470e-9a2e-6fa4f799d78e2022-03-26T17:02:43ZReverse Hardy–Littlewood–Sobolev inequalitiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5856ec39-de68-470e-9a2e-6fa4f799d78eEnglishSymplectic ElementsElsevier2019Carrillo de la Plata, JADelgadino, MGDolbeault, JFrank, RLHoffmann, FThis paper is devoted to a new family of reverse Hardy–Littlewood–Sobolev inequalities which involve a power law kernel with positive exponent. We investigate the range of the admissible parameters and the properties of the optimal functions. A striking open question is the possibility of concentration which is analyzed and related with free energy functionals and nonlinear diffusion equations involving mean field drifts. |
| spellingShingle | Carrillo de la Plata, JA Delgadino, MG Dolbeault, J Frank, RL Hoffmann, F Reverse Hardy–Littlewood–Sobolev inequalities |
| title | Reverse Hardy–Littlewood–Sobolev inequalities |
| title_full | Reverse Hardy–Littlewood–Sobolev inequalities |
| title_fullStr | Reverse Hardy–Littlewood–Sobolev inequalities |
| title_full_unstemmed | Reverse Hardy–Littlewood–Sobolev inequalities |
| title_short | Reverse Hardy–Littlewood–Sobolev inequalities |
| title_sort | reverse hardy littlewood sobolev inequalities |
| work_keys_str_mv | AT carrillodelaplataja reversehardylittlewoodsobolevinequalities AT delgadinomg reversehardylittlewoodsobolevinequalities AT dolbeaultj reversehardylittlewoodsobolevinequalities AT frankrl reversehardylittlewoodsobolevinequalities AT hoffmannf reversehardylittlewoodsobolevinequalities |