Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian
We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation Δ α 2 u = ρ ( x ) φ ( u ) admits nonnegative nontrivial bounded solutions in the whole space ℝ N .
Gespeichert in:
| Veröffentlicht in: | Potential analysis 2018-05, Vol.48 (4), p.495-513 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 513 |
|---|---|
| container_issue | 4 |
| container_start_page | 495 |
| container_title | Potential analysis |
| container_volume | 48 |
| creator | Chrouda, Mohamed Ben Fredj, Mahmoud Ben |
| description | We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation
Δ
α
2
u
=
ρ
(
x
)
φ
(
u
)
admits nonnegative nontrivial bounded solutions in the whole space
ℝ
N
. |
| doi_str_mv | 10.1007/s11118-017-9645-7 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2030999259</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2030999259</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-d5efa2e9e2e4ee3c1429f3ae8e7fe797197d7e98ca70c20b31a66729b530c2c53</originalsourceid><addsrcrecordid>eNp1kE9LAzEQxYMoWKsfwFvAczR_upvNUUurhaKHKngLaXa2pmyTNskW_PZuWcGTcxlm5r3H8EPoltF7Rql8SKyvilAmiSonBZFnaMQKyYni6vMcjajiJeElZZfoKqUtpZRLWY1Q_Rq8h43J7gh45rOLgJ9C52uo8Sq0XXbBJ5wDTmEHeAU71zoPJuLZoTPDceGPoT06v8H5C_A8GnvamxYvzb411hl_jS4a0ya4-e1j9DGfvU9fyPLteTF9XBIrWJlJXUBjOCjgMAEQlk24aoSBCmQDUkmmZC1BVdZIajldC2bKUnK1LkQ_20KM0d2Qu4_h0EHKehu62L-SNKeCKqV4oXoVG1Q2hpQiNHof3c7Eb82oPsHUA0zdw9QnmFr2Hj54Uq_1G4h_yf-bfgDMjHjX</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2030999259</pqid></control><display><type>article</type><title>Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian</title><source>SpringerLink (Online service)</source><creator>Chrouda, Mohamed Ben ; Fredj, Mahmoud Ben</creator><creatorcontrib>Chrouda, Mohamed Ben ; Fredj, Mahmoud Ben</creatorcontrib><description>We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation
Δ
α
2
u
=
ρ
(
x
)
φ
(
u
)
admits nonnegative nontrivial bounded solutions in the whole space
ℝ
N
.</description><identifier>ISSN: 0926-2601</identifier><identifier>EISSN: 1572-929X</identifier><identifier>DOI: 10.1007/s11118-017-9645-7</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Functional Analysis ; Geometry ; Mathematics ; Mathematics and Statistics ; Potential Theory ; Probability Theory and Stochastic Processes</subject><ispartof>Potential analysis, 2018-05, Vol.48 (4), p.495-513</ispartof><rights>Springer Science+Business Media B.V. 2017</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-d5efa2e9e2e4ee3c1429f3ae8e7fe797197d7e98ca70c20b31a66729b530c2c53</citedby><cites>FETCH-LOGICAL-c316t-d5efa2e9e2e4ee3c1429f3ae8e7fe797197d7e98ca70c20b31a66729b530c2c53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11118-017-9645-7$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11118-017-9645-7$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Chrouda, Mohamed Ben</creatorcontrib><creatorcontrib>Fredj, Mahmoud Ben</creatorcontrib><title>Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian</title><title>Potential analysis</title><addtitle>Potential Anal</addtitle><description>We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation
Δ
α
2
u
=
ρ
(
x
)
φ
(
u
)
admits nonnegative nontrivial bounded solutions in the whole space
ℝ
N
.</description><subject>Functional Analysis</subject><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Potential Theory</subject><subject>Probability Theory and Stochastic Processes</subject><issn>0926-2601</issn><issn>1572-929X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kE9LAzEQxYMoWKsfwFvAczR_upvNUUurhaKHKngLaXa2pmyTNskW_PZuWcGTcxlm5r3H8EPoltF7Rql8SKyvilAmiSonBZFnaMQKyYni6vMcjajiJeElZZfoKqUtpZRLWY1Q_Rq8h43J7gh45rOLgJ9C52uo8Sq0XXbBJ5wDTmEHeAU71zoPJuLZoTPDceGPoT06v8H5C_A8GnvamxYvzb411hl_jS4a0ya4-e1j9DGfvU9fyPLteTF9XBIrWJlJXUBjOCjgMAEQlk24aoSBCmQDUkmmZC1BVdZIajldC2bKUnK1LkQ_20KM0d2Qu4_h0EHKehu62L-SNKeCKqV4oXoVG1Q2hpQiNHof3c7Eb82oPsHUA0zdw9QnmFr2Hj54Uq_1G4h_yf-bfgDMjHjX</recordid><startdate>20180501</startdate><enddate>20180501</enddate><creator>Chrouda, Mohamed Ben</creator><creator>Fredj, Mahmoud Ben</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20180501</creationdate><title>Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian</title><author>Chrouda, Mohamed Ben ; Fredj, Mahmoud Ben</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-d5efa2e9e2e4ee3c1429f3ae8e7fe797197d7e98ca70c20b31a66729b530c2c53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Functional Analysis</topic><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Potential Theory</topic><topic>Probability Theory and Stochastic Processes</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chrouda, Mohamed Ben</creatorcontrib><creatorcontrib>Fredj, Mahmoud Ben</creatorcontrib><collection>CrossRef</collection><jtitle>Potential analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chrouda, Mohamed Ben</au><au>Fredj, Mahmoud Ben</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian</atitle><jtitle>Potential analysis</jtitle><stitle>Potential Anal</stitle><date>2018-05-01</date><risdate>2018</risdate><volume>48</volume><issue>4</issue><spage>495</spage><epage>513</epage><pages>495-513</pages><issn>0926-2601</issn><eissn>1572-929X</eissn><abstract>We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation
Δ
α
2
u
=
ρ
(
x
)
φ
(
u
)
admits nonnegative nontrivial bounded solutions in the whole space
ℝ
N
.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11118-017-9645-7</doi><tpages>19</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0926-2601 |
| ispartof | Potential analysis, 2018-05, Vol.48 (4), p.495-513 |
| issn | 0926-2601 1572-929X |
| language | eng |
| recordid | cdi_proquest_journals_2030999259 |
| source | SpringerLink (Online service) |
| subjects | Functional Analysis Geometry Mathematics Mathematics and Statistics Potential Theory Probability Theory and Stochastic Processes |
| title | Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-14T18%3A29%3A20IST&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=Nonnegative%20Entire%20Bounded%20Solutions%20to%20some%20Semilinear%20Equations%20Involving%20the%20Fractional%20Laplacian&rft.jtitle=Potential%20analysis&rft.au=Chrouda,%20Mohamed%20Ben&rft.date=2018-05-01&rft.volume=48&rft.issue=4&rft.spage=495&rft.epage=513&rft.pages=495-513&rft.issn=0926-2601&rft.eissn=1572-929X&rft_id=info:doi/10.1007/s11118-017-9645-7&rft_dat=%3Cproquest_cross%3E2030999259%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=2030999259&rft_id=info:pmid/&rfr_iscdi=true |