TY - JOUR T1 - Existence of Solutions for a Four-Point Boundary Value Problem with a $p(t)$-Laplacian AU - Li , Yuanxiao AU - Gao , Wenjie AU - Song , Wenjing JO - Communications in Mathematical Research VL - 1 SP - 23 EP - 30 PY - 2021 DA - 2021/05 SN - 31 DO - http://doi.org/10.13447/j.1674-5647.2015.01.03 UR - https://global-sci.org/intro/article_detail/cmr/18944.html KW - $p(t)$-Laplacian, four-point boundary condition, fixed point theorem, Leray-Schauder degree method. AB -

This paper deals with the existence of solutions to the $p(t)$-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that $p(t)$ is a general function.