Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient

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

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.

• Jezik: Angleški jezik
• Ključne besede: convex subdifferential, Moreau-Yosida approximation, elliptic differential inclusion, Morse iteration technique, pseudomonotone map, variational inequality
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 1-23
• Številčenje: Vol. 78, iss. 1
• PID: 20.500.12556/RUL-109120
• UDK: 517.956.2
• ISSN pri članku: 0095-4616
• DOI: 10.1007/s00245-016-9392-y
• COBISS.SI-ID: 17801305
• Datum objave v RUL: 22.08.2019

Gradivo je del revije

• Naslov: Applied mathematics and optimization
• Skrajšan naslov: Appl. math. optim.
• Založnik: Springer.
• ISSN: 0095-4616
• COBISS.SI-ID: 24984064