Existence and concentration of nodal solutions to a class of quasilinear problems
Keywords
Quasilinear equation, variational methods, behaviour of solutionsAbstract
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.Downloads
Published
2007-06-01
How to Cite
1.
ALVES, Claudianor O. and FIGUEIREDO, Giovany M. Existence and concentration of nodal solutions to a class of quasilinear problems. Topological Methods in Nonlinear Analysis. Online. 1 June 2007. Vol. 29, no. 2, pp. 279 - 293. [Accessed 29 March 2024].
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