Existence of multi-peak solutions for a class of quasilinear problems in $\mathbb{R}^{N}$
Keywords
Variational methods, quasilinear problem, behaviour of solutionsAbstract
Using variational methods we establish existence of multi-peak solutions for the following class of quasilinear problems $$ -\varepsilon^{p}\Delta_{p}u + V(x)u^{p-1}= f(u), \quad u> 0, \text{ in } {\mathbb{R}}^{N} $$ where $\Delta_{p}u$ is the $p$-Laplacian operator, $2 \leq p < N$, $\varepsilon > 0$ and $f$ is a continuous function with subcritical growth.Downloads
Published
2011-04-23
How to Cite
1.
ALVES, Claudianor O. Existence of multi-peak solutions for a class of quasilinear problems in $\mathbb{R}^{N}$. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 38, no. 2, pp. 307 - 332. [Accessed 14 December 2024].
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