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

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

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.

• Language: English
• Keywords: anisotropic (p, q)-Laplacian, convection, nonvariational problem, nonlinear regularity theory, maximum principle, fixed point, minimal positive solution
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2021
• Number of pages: Str. 5319-5343
• Numbering: Vol. 34, no. 8
• PID: 20.500.12556/RUL-128543
• UDC: 517.956
• ISSN on article: 0951-7715
• DOI: 10.1088/1361-6544/ac0612
• COBISS.SI-ID: 69174531
• Publication date in RUL: 19.07.2021

Record is a part of a journal

• Title: Nonlinearity
• Shortened title: Nonlinearity
• Publisher: IOP Pub.
• ISSN: 0951-7715
• COBISS.SI-ID: 28749569