Investigation into double-phase elliptic problems with boundary conditions, incorporating a logarithmic convection term
摘要
In this paper, we investigate the existence of weak solutions for a class of nonlinear double-phase operators with mixed growth. These operators involve a potential term and a gradient-dependent convection term, considered within the framework of Orlicz–Zygmund spaces. The analysis is based on the surjectivity result for pseudo-monotone operators. The findings presented here extend and generalize several well-known results.