Abstract
We consider a class of $p$-Laplacian equations in $\mathbb{R}^{N}$. By carefully analyzing the compactness of the Palais-Smale sequences and constructing Nehari manifolds, we prove that for every positive integer $m\geq 2$, there exists a nodal solution with at least $2m$ nodal domains.
Citation
Y. H. Chen. "Multiplicity of Nodal Solutions for a Class of $p$-Laplacian Equations in $\mathbb{R}^{N}$." Commun. Math. Anal. 12 (2) 120 - 136, 2012.
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