Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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

Record is a part of a journal

• Title: Applied mathematics and optimization
• Shortened title: Appl. math. optim.
• Publisher: Springer.
• ISSN: 0095-4616
• COBISS.SI-ID: 24984064