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Nonlinear singular problems with indefinite potential term
Papageorgiou, Nikolaos
(
Author
),
Rǎdulescu, Vicenţiu
(
Author
),
Repovš, Dušan
(
Author
)
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Abstract
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term will be parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies.
Language:
English
Keywords:
nonhomogeneous differential operator
,
indefinite potential
,
singular term
,
concave and convex nonlinearities
,
truncation
,
comparison principles
,
nonlinear regularity
,
nonlinear maximum principle
Work type:
Article (dk_c)
Tipology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
Year:
2019
Number of pages:
str. 2237-2262
Numbering:
Vol. 9, iss. 4
UDC:
517.956.2
ISSN on article:
1664-2368
DOI:
10.1007/s13324-019-00333-7
COBISS.SI-ID:
18663001
Views:
208
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134
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Record is a part of a journal
Title:
Analysis and mathematical physics
Shortened title:
Anal. math. phys.
Publisher:
Springer International Publishing AG
ISSN:
1664-2368
COBISS.SI-ID:
18662745
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