Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913640994570240 |
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| author | Mesmar, Hussein Robert, Frédéric |
| author_facet | Mesmar, Hussein Robert, Frédéric |
| contents | We perform the apriori analysis of solutions to critical nonlinear elliptic equations on manifolds with boundary. The solutions are of minimizing type. The originality is that we impose no condition on the boundary, which leads us to assume $L^2-$concentration. We also analyze the effect of a non-homogeneous nonlinearity that results in the fast convergence of the concentration point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14994 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up Mesmar, Hussein Robert, Frédéric Analysis of PDEs 35J60, 58J10 We perform the apriori analysis of solutions to critical nonlinear elliptic equations on manifolds with boundary. The solutions are of minimizing type. The originality is that we impose no condition on the boundary, which leads us to assume $L^2-$concentration. We also analyze the effect of a non-homogeneous nonlinearity that results in the fast convergence of the concentration point. |
| title | Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up |
| topic | Analysis of PDEs 35J60, 58J10 |
| url | https://arxiv.org/abs/2310.14994 |