@article{Li2024, 
author = {Shuai Li and Tianqing An and Weichun Bu},
title = {Existence results for Schrödinger type double phase variable exponent problems with convection term in              R              N},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {8610-8629},
keywords = {variable exponent, double phase problem, convection term, Galerkin method, topological degree},
url = {https://www.sciopen.com/article/10.3934/math.2024417},
doi = {10.3934/math.2024417},
abstract = {This paper was concerned with a new class of Schrödinger equations involving double phase operators with variable exponent in              R              N      . We gave the corresponding Musielak-Orlicz Sobolev spaces and proved certain properties of the double phase operator. Moreover, our main tools were the topological degree theory and Galerkin method, since the equation contained a convection term. By using these methods, we derived the existence of weak solution for the above problems. Our result extended some recent work in the literature.}
}