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Existence and multiplicity of solutions for double-phase Robin problems
Papageorgiou, Nikolaos
(
Author
),
Rǎdulescu, Vicenţiu
(
Author
),
Repovš, Dušan
(
Author
)
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Abstract
We consider a double phase Robin problem with a Carathéodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.
Language:
English
Keywords:
double phase Robin problem
,
Carathéodory nonlinearity
,
existence theorem
,
superlinear case
,
positive solutions
,
resonant case
Work type:
Article (dk_c)
Tipology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
Year:
2020
Number of pages:
str. 546-560
Numbering:
Vol. 52, iss. 3
UDC:
517.956
ISSN on article:
0024-6093
DOI:
10.1112/blms.12347
COBISS.SI-ID:
16036355
Views:
243
Downloads:
180
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Record is a part of a journal
Title:
Bulletin of the London Mathematical Society
Shortened title:
Bull. Lond. Math. Soc.
Publisher:
C.F.Hodgson and Son
ISSN:
0024-6093
COBISS.SI-ID:
25154560
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