On bi-nonlocal problem for elliptic equations with Neumann boundary conditions

被引：7
|
作者：
Chabrowski, J. [1 ]
机构：
[1] Univ Queensland, Dept Math, St Lucia, Qld 4072, Australia
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2018年 / 134卷 / 01期
关键词：
CRITICAL SOBOLEV EXPONENTS; KIRCHHOFF-TYPE; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;
D O I：
10.1007/s11854-018-0011-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the existence of positive solutions for a nonlocal problem (1.2) with Neumann boundary conditions. We distinguish two cases: 2 < p < 2* (subcritical) and p = 2* (critical). The existence of solutions is established by variational methods.
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页码：303 / 334
页数：32
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