On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916555559796736 |
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| author | Calamai, Alessandro Infante, Gennaro |
| author_facet | Calamai, Alessandro Infante, Gennaro |
| contents | We investigate the existence of nontrivial solutions of parameter-dependent elliptic equations with deviated argument in annular-like domains in $\mathbb{R}^{n}$, with $n\geq 2$, subject to functional boundary conditions. In particular we consider a boundary value problem that may be used to model heat-flow problems. We obtain an existence result by means of topological methods; in particular, we make use of a recent variant in affine cones of the celebrated Birkhoff--Kellogg theorem. Using an ODE argument, we illustrate in an example the applicability of our theoretical result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains Calamai, Alessandro Infante, Gennaro Analysis of PDEs Classical Analysis and ODEs Functional Analysis Primary 35J15, secondary 35B09, 35J25, 35J60, 47H10 We investigate the existence of nontrivial solutions of parameter-dependent elliptic equations with deviated argument in annular-like domains in $\mathbb{R}^{n}$, with $n\geq 2$, subject to functional boundary conditions. In particular we consider a boundary value problem that may be used to model heat-flow problems. We obtain an existence result by means of topological methods; in particular, we make use of a recent variant in affine cones of the celebrated Birkhoff--Kellogg theorem. Using an ODE argument, we illustrate in an example the applicability of our theoretical result. |
| title | On the solvability of parameter-dependent elliptic functional BVPs on annular-like domains |
| topic | Analysis of PDEs Classical Analysis and ODEs Functional Analysis Primary 35J15, secondary 35B09, 35J25, 35J60, 47H10 |
| url | https://arxiv.org/abs/2410.11615 |