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arXiv · 1906.03798

Elliptic variational problems with mixed nonlinearities

Qi Han
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Abstract

In this paper, we study the existence and multiplicity results of nontrivial positive solutions to a quasilinear elliptic equation in $\RN$, when $N\geq2$, as \begin{equation} \Lp u+u^{p-1}=\lambda\hspace{0.2mm}k(x)u^{r-1}-h(x)u^{q-1}.\nonumber \end{equation} Here, $h(x),k(x)>0$ are Lebesgue measurable functions, $1 0$ is a parameter.

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Qi Han. 2019-06-10. Elliptic variational problems with mixed nonlinearities. https://doi.org/10.1002/mma.5993

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