Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential

Huyuan Chen; Xia Huang; Feng Zhou

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arXiv · 1803.01563

Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential

Huyuan Chen·Xia Huang·Feng Zhou

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Abstract

We are interested in studying positive solutions of Lane-Emden equation $$ -\Delta u= V u^p\quad {\rm in}\quad \mathbb{R}^N\setminus\{0\}, $$ where $V$ is a nonhomogeneous potential satisfying some extra hypotheses. We construct a sequence of fast decaying solutions.

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Huyuan Chen, Xia Huang, Feng Zhou. 2018-03-05. Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential. https://arxiv.org/abs/1803.01563

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