Anisotropic (p, q)-equations with gradient dependent reactionPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) anisotropic (pq)-Laplacianconvectionnonvariational problemnonlinear regularity theorymaximum principlefixed pointminimal positive solutionWe 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.20212021-07-19 09:10:08Neznano128543UDK: 517.956ISSN pri članku: 0951-7715DOI: 10.1088/1361-6544/ac0612COBISS_ID: 69174531sl