THE EXISTENCE OF THREE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH

被引：10

作者：

Zhao, Lin ^{[1
,2
]}

Zhao, Peihao ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

[2] China Univ Mining & Technol, China & Sch Sci, Xuzhou 221116, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2014年 / 44卷 / 04期

关键词：

Critical point theory; variational methods; three solutions; Moser iteration; CRITICAL SOBOLEV EXPONENTS; LINEAR ELLIPTIC-EQUATIONS; CRITICAL-POINTS THEOREM; POSITIVE SOLUTIONS; VARIATIONAL-METHODS; MULTIPLICITY;

D O I：

10.1216/RMJ-2014-44-4-1383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with the existence and multiplicity of solutions for the p-Laplacian problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation combining with the Moser iteration, we extend the result obtained by Ricceri [14] to the critical and supercritical case.

引用

页码：1383 / 1397

页数：15

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