Infinitely many solutions to quasilinear elliptic equation with concave and convex terms
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Concave and convex terms, fountain theorem, perturbation methodsAbstrakt
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.Pobrania
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2016-04-12
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XIA, Leran, YANG, Minbo & ZHAO, Fukun. Infinitely many solutions to quasilinear elliptic equation with concave and convex terms. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 44, nr 2, s. 539–553. [udostępniono 22.7.2024].
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