@Article{ATA-37-209,
author = {Liu , JiaquanLiu , Xiangqing and Wang , Zhi-Qiang},
title = {Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity},
journal = {Analysis in Theory and Applications},
year = {2021},
volume = {37},
number = {2},
pages = {209--229},
abstract = {<p style="text-align: justify;">The existence of an infinite sequence of sign-changing solutions are proved for a class of quasilinear elliptic equations under suitable conditions on the quasilinear coefficients and the nonlinearity</p><p style="text-align:center"><img src="https://admin.global-sci.org/uploads/ueditor/image/20210419/1618806160701482.jpg" title="1618806160701482.jpg" alt="a.JPG"/></p><p style="text-align: justify;">where $\Omega\subset\mathbb{R}^N$ is a bounded domain with smooth boundary, and we use<br/></p><p style="text-align:center"><img src="https://admin.global-sci.org/uploads/ueditor/image/20210419/1618806215853944.jpg" title="1618806215853944.jpg" alt="b.JPG"/></p><p style="text-align: justify;">The main interest of this paper is for the case of bounded quasilinearity $b_{ij}$. The result is proved by an elliptic regularization method involving truncations of both $u$ and the gradient of $u$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2021.pr80.02},
url = {http://global-sci.org/intro/article_detail/ata/18772.html}
}