New type of solutions to a slightly subcritical Henon type problem in dimensions 7, 8 and 9

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Fourti, Habib^1,3  Ghoudi, Rabeh^2,3 

[1] Univ Monastir, Fac Sci, Ave Environm, Monastir, Tunisia

[2] Univ Gabes, Fac Sci, Cite El Riadh, Gabes, Tunisia

[3] Univ Sfax, Lab Rech Stabilie & Controle Syst & Edp Nonlineai, LR UR 1515, Sfax, Tunisia

关键词: Henon problem;    Critical Sobolev exponent;    Bubble tower solutions;   

DOI  :  10.1016/j.jde.2019.09.050

来源: Elsevier

【 摘 要 】

Inspired from the constructive method of Davilla et al. [10], with new ingredients, we extend their existence results to dimensions 7 <= n <= 9 concerning the following Henon type problem {-Delta u = K vertical bar u vertical bar(p-1-epsilon) u in Omega, u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-n , epsilon is a positive real parameter, p +1 = 2n/(n - 2) is the critical Sobolev exponent and the function K is an element of C-2 ((Omega) over bar) is positive satisfying condition (1.1). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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