izpis_h1_title_alt

Multiple perturbations of a singular eigenvalue problem
Cencelj, Matija (Author), Repovš, Dušan (Author), Virk, Žiga (Author)

.pdfPDF - Presentation file, Download (610,98 KB)
MD5: BB5ADB64FA5C4717131E21333B1A60D9

Abstract
We study the perturbation by a critical term and a ▫$(p-1)$▫-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle in the singular case, we prove the existence of solutions for positive values of the parameter under the principal eigenvalue of the associated singular eigenvalue problem.

Language:English
Keywords:critical Sobolev exponent, indefinite singular potential, principal eigenvalue, concentration-compactness, singularity
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2015
Number of pages:str. 37-45
Numbering:Vol. 119
UDC:517.951
ISSN on article:0362-546X
DOI:10.1016/j.na.2014.07.015 This link opens in a new window
COBISS.SI-ID:17086297 This link opens in a new window
Views:353
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:Nonlinear Analysis
Shortened title:Nonlinear anal.
Publisher:Pergamon Press
ISSN:0362-546X
COBISS.SI-ID:26027520 This link opens in a new window

Secondary language

Language:Slovenian
Title:Večkratne perturbacije singularnega problema lastne vrednosti
Abstract:
Obravnavamo perturbacijo kritičnega člena in ▫$(p-1)$▫-superlinearno subkritično nelinearnost kvazilinearne eliptične enačbe s singularnim potencialnom. Z variacijskimi argumenti in verzijo principa koncentracijske kompaktnosti v singularnem primeru dokažemo obstoj rešitev za pozitivne vrednosti parametra pod glavno lastno vrednostjo prirejenega singularnega problema lastne vrednosti.

Keywords:kritični eksponent Soboljeva, nedoločeni singularni potencia, glavna lastna vrednost, koncentracijska kompaktnost, singularnost

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