Abstract
The existence and concentration behavior of nodal solutions are established for the equation $-\varepsilon^{p} \Delta_{p}u + V(z)|u|^{p-2}u=f(u)$ in $\Omega$, where $\Omega$ is a domain in ${\mathbb R}^{N}$, not necessarily bounded, $V$ is a positive Hölder continuous function and $f\in C^{1}$ is a function having subcritical growth.
Citation
Claudianor O. Alves. Giovany M. Figueiredo. "Existence and concentration of nodal solutions to a class of quasilinear problems." Topol. Methods Nonlinear Anal. 29 (2) 279 - 293, 2007.
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