On Optimal Hardy Inequalities in Cones
For a given subcritical Schrödinger operator in a cone in ℝn with a given Hardy potential corresponding to the distance to the boundary of the cone, we present an explicit optimal Hardy-type improvement. In particular, we present an explicit expression for the associate best Hardy constant, and for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Bologna
2014-12-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
| Subjects: | |
| Online Access: | http://mathematicalanalysis.unibo.it/article/view/4741 |
| _version_ | 1818206202269532160 |
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| author | Baptiste Devyver Yehuda Pinchover Georgios Psaradakis |
| author_facet | Baptiste Devyver Yehuda Pinchover Georgios Psaradakis |
| author_sort | Baptiste Devyver |
| collection | DOAJ |
| description | For a given subcritical Schrödinger operator in a cone in ℝn with a given Hardy potential corresponding to the distance to the boundary of the cone, we present an explicit optimal Hardy-type improvement. In particular, we present an explicit expression for the associate best Hardy constant, and for the corresponding ground state. |
| first_indexed | 2024-12-12T04:09:17Z |
| format | Article |
| id | doaj.art-4db331a31d624c05b84ad4f813e550d7 |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-12-12T04:09:17Z |
| publishDate | 2014-12-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-4db331a31d624c05b84ad4f813e550d72022-12-22T00:38:39ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292014-12-0151678210.6092/issn.2240-2829/47414356On Optimal Hardy Inequalities in ConesBaptiste Devyver0Yehuda Pinchover1Georgios Psaradakis2University of British Columbia, VancouverDepartment of Mathematics, Technion - Israel Institute of Technology, HaifaDepartment of Mathematics, Technion - Israel Institute of Technology, HaifaFor a given subcritical Schrödinger operator in a cone in ℝn with a given Hardy potential corresponding to the distance to the boundary of the cone, we present an explicit optimal Hardy-type improvement. In particular, we present an explicit expression for the associate best Hardy constant, and for the corresponding ground state.http://mathematicalanalysis.unibo.it/article/view/4741Ground stateHardy inequalityminimal growthpositive solutions |
| spellingShingle | Baptiste Devyver Yehuda Pinchover Georgios Psaradakis On Optimal Hardy Inequalities in Cones Bruno Pini Mathematical Analysis Seminar Ground state Hardy inequality minimal growth positive solutions |
| title | On Optimal Hardy Inequalities in Cones |
| title_full | On Optimal Hardy Inequalities in Cones |
| title_fullStr | On Optimal Hardy Inequalities in Cones |
| title_full_unstemmed | On Optimal Hardy Inequalities in Cones |
| title_short | On Optimal Hardy Inequalities in Cones |
| title_sort | on optimal hardy inequalities in cones |
| topic | Ground state Hardy inequality minimal growth positive solutions |
| url | http://mathematicalanalysis.unibo.it/article/view/4741 |
| work_keys_str_mv | AT baptistedevyver onoptimalhardyinequalitiesincones AT yehudapinchover onoptimalhardyinequalitiesincones AT georgiospsaradakis onoptimalhardyinequalitiesincones |