Anisotropic (p, q)-equations with gradient dependent reaction

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

We consider a Dirichlet problem driven by the anisotropic ▫$p, q)$▫-Laplacian and a reaction with gradient dependence (convection). The presence of the gradient in the source termexcludes fromconsideration a variational approach in dealing with the qualitative analysis of this problem with unbalanced growth. Using the frozen variable method and eventually a fixed point theorem, the main result of this paper establishes that the problem has a positive smooth solution.

• Jezik: Angleški jezik
• Ključne besede: anisotropic (p, q)-Laplacian, convection, nonvariational problem, nonlinear regularity theory, maximum principle, fixed point, minimal positive solution
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2021
• Št. strani: Str. 5319-5343
• Številčenje: Vol. 34, no. 8
• PID: 20.500.12556/RUL-128543
• UDK: 517.956
• ISSN pri članku: 0951-7715
• DOI: 10.1088/1361-6544/ac0612
• COBISS.SI-ID: 69174531
• Datum objave v RUL: 19.07.2021

Gradivo je del revije

• Naslov: Nonlinearity
• Skrajšan naslov: Nonlinearity
• Založnik: IOP Pub.
• ISSN: 0951-7715
• COBISS.SI-ID: 28749569