Uniform a priori estimates for positive solutions of higher order Lane-Emden equations in Rn
Dai, Wei (Beihang University (BUAA) (Beijing, Xina). School of Mathematical Sciences)
Duyckaerts, Thomas (Université Sorbonne, Institut Galilée)

Fecha:	2021
Resumen:	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.
Nota:	W. Dai is supported by the NNSF of China (No. 11971049), the Fundamental Research Funds for the Central Universities, and the State Scholarship Fund of China (No. 201806025011). T. Duyckaerts is supported by the Institut Universitaire de France and the Labex MME-DII.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Uniform a priori estimates ; Higher order Lane-Emden equations ; Navier problems ; Positive solutions ; Blow up
Publicado en:	Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 319-333 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/383990
DOI: 10.5565/PUBLMAT6512111
DOI: 10.5565/publicacionsmatematiques.v65i1.383990

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