POSITIVE SOLUTIONS FOR THE NONHOMOGENEOUS p-LAPLACIAN EQUATION IN RN

被引：5

作者：

Chen, Caisheng ^{[1
]}

Li, Jing ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Linyi Univ, Coll Sci, Linyi 276005, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 04期

关键词：

Sublinear-superlinear p-Laplacian equation; Nehari manifold; variational method; ELLIPTIC-EQUATIONS; RADIAL POTENTIALS; EXISTENCE; NONLINEARITIES; MULTIPLICITY;

D O I：

10.1216/RMJ-2017-47-4-1055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a class of nonhomogeneous sublinear-superlinear p-Laplacian equations in R-N. By applying a minimization method on the Nehari manifold N-alpha, the existence of positive solutions and the continuity in the perturbation term are obtained.

引用

页码：1055 / 1073

页数：19

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