20.500.12556/RUL-128543 Anisotropic (p, q)-equations with gradient dependent reaction 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. anisotropic (p q)-Laplacian convection nonvariational problem nonlinear regularity theory maximum principle fixed point minimal positive solution true false true Angleški jezik Ni določen Neznano 2021-07-19 09:10:08 2021-07-19 09:10:11 2022-09-07 04:15:50 0000-00-00 00:00:00 2021 0 0 Str. 5319-5343 no. 8 Vol. 34 Aug. 2021 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 0951-7715 10.1088/1361-6544/ac0612 69174531 https://iopscience.iop.org/article/10.1088/1361-6544/ac0612 1 357736a6-e860-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145305 RAZ_Papageorgiou_Nikolaos_2021.pdf RAZ_Papageorgiou_Nikolaos_2021.pdf 1 11AC2C4622EAF7A8318D630E58AB1961 414b25eeead0155036c76e842c24849776b207c8b8d14b56bb81cbe9983e7ef8 55499265-e860-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=145306 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0