Nikolaos Socrates Papageorgiou (Author), Vicenţiu Rǎdulescu (Author), Dušan Repovš (Author)

Abstract

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 term excludes from consideration 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.

Keywords

anisotropic (p, q)-Laplacian;convection;nonvariational problem;nonlinear regularity theory;maximum principle;fixed point;minimal positive solution;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 69174531 Link will open in a new window
ISSN: 0951-7715
Views: 358
Downloads: 84
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Other data

Pages: str. 5319-5343
Volume: ǂVol. ǂ34
Issue: ǂno. ǂ8
Chronology: Aug. 2021
DOI: 10.1088/1361-6544/ac0612
ID: 13153741