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Positive solutions for nonlinear Neumann problems with singular terms and convection
ID
Papageorgiou, Nikolaos S.
(
Author
),
ID
Rǎdulescu, Vicenţiu
(
Author
),
ID
Repovš, Dušan
(
Author
)
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Abstract
We consider a nonlinear Neumann problem driven by the p-Laplacian. In the reaction we have the competing effects of a singular and a convection term. Using a topological approach based on the Leray-Schauder alternative principle together with suitable truncation and comparison techniques, we show that the problem has positive smooth solutions.
Language:
English
Keywords:
singular term
,
convection term
,
nonlinear regularity
,
nonlinear maximum principle
,
Leray-Schauder alternative theorem
,
fixed point theory
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Year:
2020
Number of pages:
Str. 1-21
Numbering:
Vol. 136
PID:
20.500.12556/RUL-116579
UDC:
517.956
ISSN on article:
0021-7824
DOI:
10.1016/j.matpur.2020.02.004
COBISS.SI-ID:
18927193
Publication date in RUL:
28.05.2020
Views:
986
Downloads:
490
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Title:
Journal de Mathématiques Pures et Appliquées
Shortened title:
J. math. pures appl.
Publisher:
Bachelier
ISSN:
0021-7824
COBISS.SI-ID:
25698560
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