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http://hdl.handle.net/10773/14988
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Aizicovici, S. | pt |
dc.contributor.author | Papageorgiou, N. S. | pt |
dc.contributor.author | Staicu, V. | pt |
dc.date.accessioned | 2016-01-06T15:54:06Z | - |
dc.date.available | 2016-01-06T15:54:06Z | - |
dc.date.issued | 2015-06 | - |
dc.identifier.issn | 1073-2772 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/14988 | - |
dc.description.abstract | We study a parametric nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which is ”concave” (i.e., (p − 1)− sublinear) near zero and ”convex” (i.e., (p − 1)− superlinear) near ±1. Using variational methods combined with truncation and comparison techniques, we show that for all small values of the parameter > 0, the problem has at least five nontrivial smooth solutions (four of constant sign and the fifth nodal). In the Hilbert space case (p = 2), using Morse theory, we produce a sixth nontrivial smooth solution but we do not determine its sign. | pt |
dc.language.iso | eng | pt |
dc.publisher | International Press | pt |
dc.relation | FEDER/CIDMA/FCT - PEst-C/MAT/UI4106/2011, FCOMP-01-0124-FEDER-022690 | pt |
dc.rights | openAccess | por |
dc.subject | Nodal solutions | pt |
dc.subject | Nonlinear regularity | pt |
dc.subject | Local minimizer | pt |
dc.subject | Extremal solutions | pt |
dc.subject | Critical groups | pt |
dc.subject | Superlinear reaction | pt |
dc.subject | Concave term | pt |
dc.title | Constant sign and nodal solutions for nonlinear elliptic equations with combined nonlinearities | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 221 | pt |
degois.publication.issue | 2 | pt |
degois.publication.lastPage | 248 | pt |
degois.publication.title | Methods and Applications of Analysis | pt |
degois.publication.volume | 22 | pt |
dc.identifier.doi | 10.4310/MAA.2015.v22.n2.a5 | pt |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P65_MAA_22(2015)_221-248.pdf | Main article | 266.66 kB | Adobe PDF | View/Open |
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