Existence of a positive radial solution for semilinear elliptic problem involving variable exponent

This paper consider that the following semilinear elliptic equation $ \begin{equation} \left\{ \begin{array}{ll} -\Delta u = u^{q(x)-1}, &\ \ {\mbox{in}}\ \ B_1,\\ u>0, &\ \ {\mbox{in}}\ \ B_1,\\ u = 0, &\ \ {\mbox{in}}\ \ \partial B_1, \end{array} \right....

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Bibliographic Details
Main Authors: Changmu Chu, Shan Li, Hongmin Suo
Format: Article
Language:English
Published: AIMS Press 2023-03-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023125?viewType=HTML