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arXiv · 1803.11298

Embeddings of weighted Sobolev spaces and a weighted fourth order elliptic equation

Zongming Guo·Fangshu Wan·Liping Wang
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Abstract

New embeddings of weighted Sobolev spaces are established. Using such embeddings, we obtain the existence and regularity of positive solutions with Navier boundary value problems for a weighted fourth order elliptic equation. We also obtain Liouville type results for the related equation. Some problems are still open.

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Zongming Guo, Fangshu Wan, Liping Wang. 2018-03-30. Embeddings of weighted Sobolev spaces and a weighted fourth order elliptic equation. https://arxiv.org/abs/1803.11298

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