Min-max level estimate for a singular quasilinear polyharmonic equation in $\mathbb{R}^{2m}$

Liang Zhao; Yuanyuan Chang

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arXiv · 1208.2155

Min-max level estimate for a singular quasilinear polyharmonic equation in $\mathbb{R}^{2m}$

Liang Zhao·Yuanyuan Chang

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Abstract

Using the framework first presented by Ruf and Sani, we give a proof of an Adams type inequality which can be applied to a nonlinear functional. Under two kinds of assumptions on the nonlinearity, we estimate the min-max level of the functional. As an application, a multiplicity result for the related singular quasilinear elliptic equation is proved.

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Liang Zhao, Yuanyuan Chang. 2012-08-10. Min-max level estimate for a singular quasilinear polyharmonic equation in $\mathbb{R}^{2m}$. https://arxiv.org/abs/1208.2155

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