Fractional Hardy–Sobolev inequalities on half spaces
We investigate the existence of extremals for Hardy–Sobolev inequalities involving the Dirichlet fractional Laplacian (−Δ)s of order s∈(0,1) on half-spaces.
Gespeichert in:
| Veröffentlicht in: | Nonlinear analysis 2019-01, Vol.178, p.32-40 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 40 |
|---|---|
| container_issue | |
| container_start_page | 32 |
| container_title | Nonlinear analysis |
| container_volume | 178 |
| creator | Musina, Roberta Nazarov, Alexander I. |
| description | We investigate the existence of extremals for Hardy–Sobolev inequalities involving the Dirichlet fractional Laplacian (−Δ)s of order s∈(0,1) on half-spaces. |
| doi_str_mv | 10.1016/j.na.2018.07.002 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2148944449</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0362546X18301706</els_id><sourcerecordid>2148944449</sourcerecordid><originalsourceid>FETCH-LOGICAL-c364t-cd2eaa1523feadde6f355eee101ff721ca6b515449e7ca244e3d4326a5178ef03</originalsourceid><addsrcrecordid>eNp1kM1Kw0AUhQdRsFb3LgOuE-c_qTsp1goFFyq4G24nd3BCzLQzSaE738E39ElMqVvv5m7Odzh8hFwzWjDK9G1TdFBwyqqClgWl_IRMWFWKXHGmTsmECs1zJfX7OblIqaGUslLoCdGLCLb3oYM2W0Ks9z9f3y9hHVrcZb7D7QCt7z2mLHTZB7QuSxuwmC7JmYM24dXfn5K3xcPrfJmvnh-f5ver3Aot-9zWHAGY4sIh1DVqJ5RCxHGxcyVnFvRaMSXlDEsLXEoUtRRcg2JlhY6KKbk59m5i2A6YetOEIY5jk-FMVjM53mxM0WPKxpBSRGc20X9C3BtGzcGOaUwH5mDH0NKMdkbk7ojguH7nMZpkPXYWax_R9qYO_n_4FwuGbLg</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2148944449</pqid></control><display><type>article</type><title>Fractional Hardy–Sobolev inequalities on half spaces</title><source>Elsevier ScienceDirect Journals</source><creator>Musina, Roberta ; Nazarov, Alexander I.</creator><creatorcontrib>Musina, Roberta ; Nazarov, Alexander I.</creatorcontrib><description>We investigate the existence of extremals for Hardy–Sobolev inequalities involving the Dirichlet fractional Laplacian (−Δ)s of order s∈(0,1) on half-spaces.</description><identifier>ISSN: 0362-546X</identifier><identifier>EISSN: 1873-5215</identifier><identifier>DOI: 10.1016/j.na.2018.07.002</identifier><language>eng</language><publisher>Elmsford: Elsevier Ltd</publisher><subject>Dirichlet problem ; Fractional Laplace operators ; Half spaces ; Hardy inequality ; Inequalities ; Laplace transforms ; Nonlinear systems ; Sobolev inequality</subject><ispartof>Nonlinear analysis, 2019-01, Vol.178, p.32-40</ispartof><rights>2018 Elsevier Ltd</rights><rights>Copyright Elsevier BV Jan 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c364t-cd2eaa1523feadde6f355eee101ff721ca6b515449e7ca244e3d4326a5178ef03</citedby><cites>FETCH-LOGICAL-c364t-cd2eaa1523feadde6f355eee101ff721ca6b515449e7ca244e3d4326a5178ef03</cites><orcidid>0000-0003-4835-8004</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.na.2018.07.002$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,45974</link.rule.ids></links><search><creatorcontrib>Musina, Roberta</creatorcontrib><creatorcontrib>Nazarov, Alexander I.</creatorcontrib><title>Fractional Hardy–Sobolev inequalities on half spaces</title><title>Nonlinear analysis</title><description>We investigate the existence of extremals for Hardy–Sobolev inequalities involving the Dirichlet fractional Laplacian (−Δ)s of order s∈(0,1) on half-spaces.</description><subject>Dirichlet problem</subject><subject>Fractional Laplace operators</subject><subject>Half spaces</subject><subject>Hardy inequality</subject><subject>Inequalities</subject><subject>Laplace transforms</subject><subject>Nonlinear systems</subject><subject>Sobolev inequality</subject><issn>0362-546X</issn><issn>1873-5215</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kM1Kw0AUhQdRsFb3LgOuE-c_qTsp1goFFyq4G24nd3BCzLQzSaE738E39ElMqVvv5m7Odzh8hFwzWjDK9G1TdFBwyqqClgWl_IRMWFWKXHGmTsmECs1zJfX7OblIqaGUslLoCdGLCLb3oYM2W0Ks9z9f3y9hHVrcZb7D7QCt7z2mLHTZB7QuSxuwmC7JmYM24dXfn5K3xcPrfJmvnh-f5ver3Aot-9zWHAGY4sIh1DVqJ5RCxHGxcyVnFvRaMSXlDEsLXEoUtRRcg2JlhY6KKbk59m5i2A6YetOEIY5jk-FMVjM53mxM0WPKxpBSRGc20X9C3BtGzcGOaUwH5mDH0NKMdkbk7ojguH7nMZpkPXYWax_R9qYO_n_4FwuGbLg</recordid><startdate>201901</startdate><enddate>201901</enddate><creator>Musina, Roberta</creator><creator>Nazarov, Alexander I.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-4835-8004</orcidid></search><sort><creationdate>201901</creationdate><title>Fractional Hardy–Sobolev inequalities on half spaces</title><author>Musina, Roberta ; Nazarov, Alexander I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c364t-cd2eaa1523feadde6f355eee101ff721ca6b515449e7ca244e3d4326a5178ef03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Dirichlet problem</topic><topic>Fractional Laplace operators</topic><topic>Half spaces</topic><topic>Hardy inequality</topic><topic>Inequalities</topic><topic>Laplace transforms</topic><topic>Nonlinear systems</topic><topic>Sobolev inequality</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Musina, Roberta</creatorcontrib><creatorcontrib>Nazarov, Alexander I.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Nonlinear analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Musina, Roberta</au><au>Nazarov, Alexander I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional Hardy–Sobolev inequalities on half spaces</atitle><jtitle>Nonlinear analysis</jtitle><date>2019-01</date><risdate>2019</risdate><volume>178</volume><spage>32</spage><epage>40</epage><pages>32-40</pages><issn>0362-546X</issn><eissn>1873-5215</eissn><abstract>We investigate the existence of extremals for Hardy–Sobolev inequalities involving the Dirichlet fractional Laplacian (−Δ)s of order s∈(0,1) on half-spaces.</abstract><cop>Elmsford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.na.2018.07.002</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0003-4835-8004</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0362-546X |
| ispartof | Nonlinear analysis, 2019-01, Vol.178, p.32-40 |
| issn | 0362-546X 1873-5215 |
| language | eng |
| recordid | cdi_proquest_journals_2148944449 |
| source | Elsevier ScienceDirect Journals |
| subjects | Dirichlet problem Fractional Laplace operators Half spaces Hardy inequality Inequalities Laplace transforms Nonlinear systems Sobolev inequality |
| title | Fractional Hardy–Sobolev inequalities on half spaces |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-21T14%3A39%3A10IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Fractional%20Hardy%E2%80%93Sobolev%20inequalities%20on%20half%20spaces&rft.jtitle=Nonlinear%20analysis&rft.au=Musina,%20Roberta&rft.date=2019-01&rft.volume=178&rft.spage=32&rft.epage=40&rft.pages=32-40&rft.issn=0362-546X&rft.eissn=1873-5215&rft_id=info:doi/10.1016/j.na.2018.07.002&rft_dat=%3Cproquest_cross%3E2148944449%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2148944449&rft_id=info:pmid/&rft_els_id=S0362546X18301706&rfr_iscdi=true |