Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in Rn
In this paper we study the existence of uniform a priori estimates for positive solutions to Navier problems of higher order Lane-Emden equations (0.1)(-∆)mu(x) = u p (x), x ∈ Ω, for all large exponents p, where Ω ⊂ Rn is a star-shaped or strictly convex bounded domain with C2m-2 boundary, n ≥ 4, an...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:238098 |
| Acceso en línea: | https://ddd.uab.cat/record/238098 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6512111 |
| Access Level: | acceso abierto |
| Palabra clave: | Uniform a priori estimates Higher order Lane-Emden equations Navier problems Positive solutions Blow up |
| Sumario: | In this paper we study the existence of uniform a priori estimates for positive solutions to Navier problems of higher order Lane-Emden equations (0.1)(-∆)mu(x) = u p (x), x ∈ Ω, for all large exponents p, where Ω ⊂ Rn is a star-shaped or strictly convex bounded domain with C2m-2 boundary, n ≥ 4, and 2 ≤ m ≤ n 2 . Our results extend those of previous authors for second order m = 1 to general higher order cases m ≥ 2. |
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