Abstract
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.
Funder
Javna Agencija za Raziskovalno Dejavnost RS
Ministerul Cercetării şi Inovării
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
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