TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS
We give two-sided estimates for positive solutions of the superlinear elliptic problem $-\unicode[STIX]{x1D6E5}u=a(x)|u|^{p-1}u$ with zero Dirichlet boundary condition in a bounded Lipschitz domain. Our result improves the well-known a priori $L^{\infty }$ -estimate and provides information about th...
Gespeichert in:
| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 2018-12, Vol.98 (3), p.465-473 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 473 |
|---|---|
| container_issue | 3 |
| container_start_page | 465 |
| container_title | Bulletin of the Australian Mathematical Society |
| container_volume | 98 |
| creator | HIRATA, KENTARO |
| description | We give two-sided estimates for positive solutions of the superlinear
elliptic problem
$-\unicode[STIX]{x1D6E5}u=a(x)|u|^{p-1}u$
with zero Dirichlet boundary condition in a bounded
Lipschitz domain. Our result improves the well-known a priori
$L^{\infty }$
-estimate and provides information about the boundary decay
rate of solutions. |
| doi_str_mv | 10.1017/S000497271800093X |
| format | Article |
| fullrecord | <record><control><sourceid>cambridge_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1017_S000497271800093X</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_S000497271800093X</cupid><sourcerecordid>10_1017_S000497271800093X</sourcerecordid><originalsourceid>FETCH-LOGICAL-c355t-56a0b4c726429191cb7620ca5bf52fd93c68b3ee8a81a87ca4f6cae7711de5c03</originalsourceid><addsrcrecordid>eNp9kE1OwzAUhC0EEqFwAHa-QMCO4zhZpq1bLLl1FDvlZxM5joNaUYoSWHB7UtEdEqs3T6NvNBoAbjG6wwize40QijMWMZyOKiNPZyDAjNIQJ4Scg-Boh0f_ElwNw278KI3SALyYRxVqMedzyLURq9xwDReqhIXSwogNh1rJygi11lAtoK4KXkqx5nkJuZSiMGIGp6paz_PyGW5yWXFYlGoq-Upfg4vOvg3-5nQnoFpwM3sIpVqKWS5DRyj9DGliURM7FiVxlOEMu4YlEXKWNh2NujYjLkkb4n1qU2xT5mzcJc56xjBuPXWITAD-zXX9YRh639Uf_XZv--8ao_o4Tv1nnJEhJ8bum37bvvp6d_jq38ee_1A_mNpfgw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS</title><source>Cambridge Journals</source><creator>HIRATA, KENTARO</creator><creatorcontrib>HIRATA, KENTARO</creatorcontrib><description>We give two-sided estimates for positive solutions of the superlinear
elliptic problem
$-\unicode[STIX]{x1D6E5}u=a(x)|u|^{p-1}u$
with zero Dirichlet boundary condition in a bounded
Lipschitz domain. Our result improves the well-known a priori
$L^{\infty }$
-estimate and provides information about the boundary decay
rate of solutions.</description><identifier>ISSN: 0004-9727</identifier><identifier>EISSN: 1755-1633</identifier><identifier>DOI: 10.1017/S000497271800093X</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><ispartof>Bulletin of the Australian Mathematical Society, 2018-12, Vol.98 (3), p.465-473</ispartof><rights>2018 Australian Mathematical Publishing Association Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c355t-56a0b4c726429191cb7620ca5bf52fd93c68b3ee8a81a87ca4f6cae7711de5c03</citedby><cites>FETCH-LOGICAL-c355t-56a0b4c726429191cb7620ca5bf52fd93c68b3ee8a81a87ca4f6cae7711de5c03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S000497271800093X/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids></links><search><creatorcontrib>HIRATA, KENTARO</creatorcontrib><title>TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS</title><title>Bulletin of the Australian Mathematical Society</title><addtitle>Bull. Aust. Math. Soc</addtitle><description>We give two-sided estimates for positive solutions of the superlinear
elliptic problem
$-\unicode[STIX]{x1D6E5}u=a(x)|u|^{p-1}u$
with zero Dirichlet boundary condition in a bounded
Lipschitz domain. Our result improves the well-known a priori
$L^{\infty }$
-estimate and provides information about the boundary decay
rate of solutions.</description><issn>0004-9727</issn><issn>1755-1633</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp9kE1OwzAUhC0EEqFwAHa-QMCO4zhZpq1bLLl1FDvlZxM5joNaUYoSWHB7UtEdEqs3T6NvNBoAbjG6wwize40QijMWMZyOKiNPZyDAjNIQJ4Scg-Boh0f_ElwNw278KI3SALyYRxVqMedzyLURq9xwDReqhIXSwogNh1rJygi11lAtoK4KXkqx5nkJuZSiMGIGp6paz_PyGW5yWXFYlGoq-Upfg4vOvg3-5nQnoFpwM3sIpVqKWS5DRyj9DGliURM7FiVxlOEMu4YlEXKWNh2NujYjLkkb4n1qU2xT5mzcJc56xjBuPXWITAD-zXX9YRh639Uf_XZv--8ao_o4Tv1nnJEhJ8bum37bvvp6d_jq38ee_1A_mNpfgw</recordid><startdate>20181201</startdate><enddate>20181201</enddate><creator>HIRATA, KENTARO</creator><general>Cambridge University Press</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20181201</creationdate><title>TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS</title><author>HIRATA, KENTARO</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-56a0b4c726429191cb7620ca5bf52fd93c68b3ee8a81a87ca4f6cae7711de5c03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>HIRATA, KENTARO</creatorcontrib><collection>CrossRef</collection><jtitle>Bulletin of the Australian Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>HIRATA, KENTARO</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS</atitle><jtitle>Bulletin of the Australian Mathematical Society</jtitle><addtitle>Bull. Aust. Math. Soc</addtitle><date>2018-12-01</date><risdate>2018</risdate><volume>98</volume><issue>3</issue><spage>465</spage><epage>473</epage><pages>465-473</pages><issn>0004-9727</issn><eissn>1755-1633</eissn><abstract>We give two-sided estimates for positive solutions of the superlinear
elliptic problem
$-\unicode[STIX]{x1D6E5}u=a(x)|u|^{p-1}u$
with zero Dirichlet boundary condition in a bounded
Lipschitz domain. Our result improves the well-known a priori
$L^{\infty }$
-estimate and provides information about the boundary decay
rate of solutions.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S000497271800093X</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0004-9727 |
| ispartof | Bulletin of the Australian Mathematical Society, 2018-12, Vol.98 (3), p.465-473 |
| issn | 0004-9727 1755-1633 |
| language | eng |
| recordid | cdi_crossref_primary_10_1017_S000497271800093X |
| source | Cambridge Journals |
| title | TWO-SIDED ESTIMATES FOR POSITIVE SOLUTIONS OF SUPERLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T16%3A48%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-cambridge_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=TWO-SIDED%20ESTIMATES%20FOR%20POSITIVE%20SOLUTIONS%20OF%20SUPERLINEAR%20ELLIPTIC%20BOUNDARY%20VALUE%20PROBLEMS&rft.jtitle=Bulletin%20of%20the%20Australian%20Mathematical%20Society&rft.au=HIRATA,%20KENTARO&rft.date=2018-12-01&rft.volume=98&rft.issue=3&rft.spage=465&rft.epage=473&rft.pages=465-473&rft.issn=0004-9727&rft.eissn=1755-1633&rft_id=info:doi/10.1017/S000497271800093X&rft_dat=%3Ccambridge_cross%3E10_1017_S000497271800093X%3C/cambridge_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_cupid=10_1017_S000497271800093X&rfr_iscdi=true |