Limiting Sobolev inequalities and the 1-biharmonic operator
In this article we present recent results on optimal embeddings, and associated PDEs, of the space of functions whose distributional Laplacian belongs to L1. We discuss sharp embedding inequalities which allow to improve the optimal summability results for solutions of Poisson equations with L1-data...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2014-09-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2014-0007 |