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
where $\Omega\subset\mathbb{R}^N$ is a bounded domain with smooth boundary, and we use
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 $u$.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.pr80.02}, url = {https://global-sci.com/article/73772/multiple-sign-changing-solutions-for-quasilinear-equations-of-bounded-quasilinearity} }