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.

引用

页码：303 / 334

页数：32

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