Sharpened Adams Inequality and Ground State Solutions to the Bi-Laplacian Equation in ℝ4
In this paper, we establish a sharp concentration-compactness principle associated with the singular Adams inequality on the second-order Sobolev spaces in ℝ4{\mathbb{R}^{4}}. We also give a new Sobolev compact embedding which states W2,2(ℝ4){W^{2,2}(\mathbb{R}^{4})} is compactly embedded into Lp(...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-08-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2018-2020 |