A critical Kirchhoff-type problem involving the p&q-Laplacian

被引：6
|
作者：
Cammaroto, F. [1 ]
Vilasi, L. [1 ]
机构：
[1] Univ Messina, Dept Math & Comp Sci, I-98166 Messina, Italy
来源：
MATHEMATISCHE NACHRICHTEN | 2014年 / 287卷 / 2-3期
关键词：
Critical growth; Kirchhoff-type problem; p and q-Laplacian; EXISTENCE; EQUATIONS;
D O I：
10.1002/mana.201300045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we provide an existence result for a nonlocal problem of Kirchhoff-type which involves both the p- and the q-Laplacian and contains a critical term. Our approach is variational: we derive the existence of one non-trivial solution via the multidimensional mountain pass theorem. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：184 / 193
页数：10
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