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