Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914451537526784 |
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| author | Birindelli, Isabeau Briani, Ariela Ishii, Hitoshi |
| author_facet | Birindelli, Isabeau Briani, Ariela Ishii, Hitoshi |
| contents | We consider asymptotic behavior of solutions to the oblique-Dirichlet mixed boundary conditions without the strict monotonicity of the equation in the variable corresponding to the unknown function for "thin domains" i.e. when the N+1 dimensional domains collapse to an N dimensional domain. A global ellipticity condition in the limit equation is introduced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05578 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions Birindelli, Isabeau Briani, Ariela Ishii, Hitoshi Analysis of PDEs 35B40, 35D40, 35J25, 49L25 We consider asymptotic behavior of solutions to the oblique-Dirichlet mixed boundary conditions without the strict monotonicity of the equation in the variable corresponding to the unknown function for "thin domains" i.e. when the N+1 dimensional domains collapse to an N dimensional domain. A global ellipticity condition in the limit equation is introduced. |
| title | Fully nonlinear elliptic PDEs in thin domains with oblique-Dirichlet mixed boundary conditions |
| topic | Analysis of PDEs 35B40, 35D40, 35J25, 49L25 |
| url | https://arxiv.org/abs/2604.05578 |