izpis_h1_title_alt

Nonlinear nonhomogeneous singular problems
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

.pdfPDF - Presentation file, Download (416,38 KB)

Abstract
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order ▫$(p-1)$▫ near ▫$+\infty$▫ and with a reaction which has the competing effects of a parametric singular term and a ▫$(p-1)$▫-superlinear perturbation which does not satisfy the usual Ambrosetti-Rabinowitz condition. Using variational tools, together with suitable truncation and strong comparison techniques, we prove a "bifurcation-type" theorem that describes the set of positive solutions as the parameter ▫$\lambda$▫ moves on the positive semiaxis. We also show that for every ▫$\lambda > 0$▫, the problem has a smallest positive solution ▫$u^\ast_\lambda$▫ and we demonstrate the monotonicity and continuity properties of the map ▫$\lambda \mapsto u^\ast_\lambda$▫.

Language:English
Keywords:singular term, superlinear perturbation, positive solution, nonhomogeneous differential operator, nonlinear regularity, minimal positive solutions, strong comparison principle
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2020
Number of pages:art. 9 [31 str.]
Numbering:Vol. 59, iss. 1
UDC:517.956.2
ISSN on article:0944-2669
DOI:10.1007/s00526-019-1667-0 Link is opened in a new window
COBISS.SI-ID:18823001 Link is opened in a new window
Views:281
Downloads:203
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:Calculus of variations and partial differential equations
Shortened title:Calc. var. partial differ. equ.
Publisher:Springer
ISSN:0944-2669
COBISS.SI-ID:3677529 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