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Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient
ID
Papageorgiou, Nikolaos S.
(
Author
),
ID
Rǎdulescu, Vicenţiu
(
Author
),
ID
Repovš, Dušan
(
Author
)
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Abstract
We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient. The convex subdifferential incorporates in our framework problems with unilateral constraints (variational inequalities). Using topological methods and the Moreau-Yosida approximations of the subdifferential term, we establish the existence of a smooth solution.
Language:
English
Keywords:
convex subdifferential
,
Moreau-Yosida approximation
,
elliptic differential inclusion
,
Morse iteration technique
,
pseudomonotone map
,
variational inequality
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Year:
2018
Number of pages:
Str. 1-23
Numbering:
Vol. 78, iss. 1
PID:
20.500.12556/RUL-109120
UDC:
517.956.2
ISSN on article:
0095-4616
DOI:
10.1007/s00245-016-9392-y
COBISS.SI-ID:
17801305
Publication date in RUL:
22.08.2019
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1024
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Title:
Applied mathematics and optimization
Shortened title:
Appl. math. optim.
Publisher:
Springer.
ISSN:
0095-4616
COBISS.SI-ID:
24984064
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