Solutions to general elliptic equations on nearly geodesically convex domains with many critical points
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866910815301402624 |
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| author | Enciso, Alberto Gladiali, Francesca Grossi, Massimo |
| author_facet | Enciso, Alberto Gladiali, Francesca Grossi, Massimo |
| contents | Consider a complete $d$-dimensional Riemannian manifold $(\mathcal M,g)$, a point $p\in\mathcal M$ and a nonlinearity $f(q,u)$ with $f(p,0)>0$. We prove that for any odd integer $N\ge3$, there exists a sequence of smooth domains $Ω_k\subset\mathcal M$ containing $p$ and corresponding positive solutions $u_k:Ω_k\to\R^+$ to the Dirichlet boundary problem |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solutions to general elliptic equations on nearly geodesically convex domains with many critical points Enciso, Alberto Gladiali, Francesca Grossi, Massimo Analysis of PDEs Consider a complete $d$-dimensional Riemannian manifold $(\mathcal M,g)$, a point $p\in\mathcal M$ and a nonlinearity $f(q,u)$ with $f(p,0)>0$. We prove that for any odd integer $N\ge3$, there exists a sequence of smooth domains $Ω_k\subset\mathcal M$ containing $p$ and corresponding positive solutions $u_k:Ω_k\to\R^+$ to the Dirichlet boundary problem |
| title | Solutions to general elliptic equations on nearly geodesically convex domains with many critical points |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.03355 |