Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems
In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.
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Veröffentlicht in: | Journal of mathematical analysis and applications 2001-06, Vol.258 (1), p.209-222 |
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container_title | Journal of mathematical analysis and applications |
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creator | Liu, Jiaquan Su, Jiabao |
description | In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0. |
doi_str_mv | 10.1006/jmaa.2000.7374 |
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Su, Jiabao</creator><creatorcontrib>Liu, Jiaquan ; Su, Jiabao</creatorcontrib><description>In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.</description><identifier>ISSN: 0022-247X</identifier><identifier>EISSN: 1096-0813</identifier><identifier>DOI: 10.1006/jmaa.2000.7374</identifier><identifier>CODEN: JMANAK</identifier><language>eng</language><publisher>San Diego, CA: Elsevier Inc</publisher><subject>critical group ; double resonance ; Exact sciences and technology ; homological nontrivial critical point ; local linking ; Mathematical analysis ; Mathematics ; Morse theory ; multiple solutions ; Ordinary differential equations ; Quasi-linear elliptic equation ; Sciences and techniques of general use</subject><ispartof>Journal of mathematical analysis and applications, 2001-06, Vol.258 (1), p.209-222</ispartof><rights>2001 Academic Press</rights><rights>2001 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c355t-59901c50153477c1eb9b783746d667bfabaf05ec3ba91d52030a1ee7dc696fb63</citedby><cites>FETCH-LOGICAL-c355t-59901c50153477c1eb9b783746d667bfabaf05ec3ba91d52030a1ee7dc696fb63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1006/jmaa.2000.7374$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>315,781,785,3551,27929,27930,46000</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1077596$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Liu, Jiaquan</creatorcontrib><creatorcontrib>Su, Jiabao</creatorcontrib><title>Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems</title><title>Journal of mathematical analysis and applications</title><description>In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.</description><subject>critical group</subject><subject>double resonance</subject><subject>Exact sciences and technology</subject><subject>homological nontrivial critical point</subject><subject>local linking</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Morse theory</subject><subject>multiple solutions</subject><subject>Ordinary differential equations</subject><subject>Quasi-linear elliptic equation</subject><subject>Sciences and techniques of general use</subject><issn>0022-247X</issn><issn>1096-0813</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNp1kD1PwzAQhi0EEqWwMntgTTkntd2MqOJLlK8CEpt1cS6SS2pXdlqJf0-iMrAw3XLPe-89jJ0LmAgAdblaI05yAJjoQk8P2EhAqTKYieKQjQDyPMun-vOYnaS0AhBCajFiD0taY_xKPHj-uG07t2mJPwXfRbdz2PK30G47F3ziTYj8dYvJZQvnCSNfUgoefcdfYqhaWqdTdtRgm-jsd47Zx831-_wuWzzf3s-vFpktpOwyWZYgrAQhi6nWVlBVVnrWV1a1UrpqsMIGJNmiwlLUMocCUBDp2qpSNZUqxmyyz7UxpBSpMZvo-i--jQAzqDCDCjOoMIOKHrjYAxtMFtsmorcu_aG0luWQO9uvUV9-5yiaZB15S7WLZDtTB_ffhR-UE3J_</recordid><startdate>20010601</startdate><enddate>20010601</enddate><creator>Liu, Jiaquan</creator><creator>Su, Jiabao</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20010601</creationdate><title>Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems</title><author>Liu, Jiaquan ; Su, Jiabao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c355t-59901c50153477c1eb9b783746d667bfabaf05ec3ba91d52030a1ee7dc696fb63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>critical group</topic><topic>double resonance</topic><topic>Exact sciences and technology</topic><topic>homological nontrivial critical point</topic><topic>local linking</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Morse theory</topic><topic>multiple solutions</topic><topic>Ordinary differential equations</topic><topic>Quasi-linear elliptic equation</topic><topic>Sciences and techniques of general use</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Jiaquan</creatorcontrib><creatorcontrib>Su, Jiabao</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Journal of mathematical analysis and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Jiaquan</au><au>Su, Jiabao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems</atitle><jtitle>Journal of mathematical analysis and applications</jtitle><date>2001-06-01</date><risdate>2001</risdate><volume>258</volume><issue>1</issue><spage>209</spage><epage>222</epage><pages>209-222</pages><issn>0022-247X</issn><eissn>1096-0813</eissn><coden>JMANAK</coden><abstract>In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.</abstract><cop>San Diego, CA</cop><pub>Elsevier Inc</pub><doi>10.1006/jmaa.2000.7374</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
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source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Access via ScienceDirect (Elsevier) |
subjects | critical group double resonance Exact sciences and technology homological nontrivial critical point local linking Mathematical analysis Mathematics Morse theory multiple solutions Ordinary differential equations Quasi-linear elliptic equation Sciences and techniques of general use |
title | Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems |
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