Infinitely many solutions to quasilinear elliptic equation with concave and convex terms
Keywords
Concave and convex terms, fountain theorem, perturbation methodsAbstract
In this paper, we are concerned with the following quasilinear elliptic equation with concave and convex terms $$ -\Delta u-{\frac12}u\Delta(|u|^2)=\alpha|u|^{p-2}u+\beta|u|^{q-2}u,\quad x\in \Omega, \leqno(\rom{P}) $$% where $\Omega\subset\mathbb{R}^N$ is a bounded smooth domain, $1< p< 2$, $4< q\leq 22^*$. The existence of infinitely many solutions is obtained by the perturbation methods.Downloads
Published
2016-04-12
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1.
XIA, Leran, YANG, Minbo and ZHAO, Fukun. Infinitely many solutions to quasilinear elliptic equation with concave and convex terms. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 2, pp. 539 - 553. [Accessed 12 December 2024].
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