izpis_h1_title_alt

Robin problems with indefinite linear part and competition phenomena
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

.pdfPDF - Presentation file, Download (667,51 KB)
MD5: AD7BBC3B3C48F5D4FEC543B7D1355491
URLURL - Source URL, Visit http://aimsciences.org/journals/doIpChk.jsp?paperID=13917&mode=full This link opens in a new window

Abstract
We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite potential. The reaction term involves competing nonlinearities. More precisely, it is the sum of a parametric sublinear (concave) term and a superlinear (convex) term. The superlinearity is not expressed via the Ambrosetti-Rabinowitz condition. Instead, a more general hypothesis is used. We prove a bifurcation-type theorem describing the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We also show the existence of a minimal positive solution ▫$\tilde{u}_\lambda$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto \tilde{u}_\lambda$▫.

Language:English
Keywords:indefinite potential, Robin boundary condition, strong maximum principle, truncation, competing nonlinear, positive solutions, regularity theory, minimal positive solution
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2017
Number of pages:str. 1293-1314
Numbering:Vol. 16, no. 4
UDC:517.956.2
ISSN on article:1534-0392
DOI:10.3934/cpaa.2017063 This link opens in a new window
COBISS.SI-ID:18010713 This link opens in a new window
Views:300
Downloads:306
Metadata:XML RDF-CHPDL DC-XML DC-RDF
 
Average score:(0 votes)
Your score:Voting is allowed only to logged in users.
:
Share:AddThis
AddThis uses cookies that require your consent. Edit consent...

Record is a part of a journal

Title:Communications on pure and applied analysis
Shortened title:Commun. pure appl. anal.
Publisher:AIMS Press
ISSN:1534-0392
COBISS.SI-ID:15066457 This link opens in a new window

Similar documents

Similar works from RUL:
Similar works from other Slovenian collections:

Comments

Leave comment

You have to log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back