四川师范大学学报（自然科学版）2012，Vol.35Issue(2)：231-235,5.DOI:10.3969/j.issn.1001-8395.2012.02.019
一类非线性Dirichlet问题的多重解
Multiplicity Results of a Class of Nonlinear Eigenvalue Dirichlet Problems
摘要
Abstract
In this paper, the eigenvalue Dirichlet problem for a class of quasilinear differential equation with p-Laplace operator is studied by utilizing variational method and Ricceri three critical points theorem. Sufficient condition to guarantee the existence of at least three weak solutions in W1/0.p [a,b] ) are proved under some conditions which are easier to be verified. Some results in the recent literatures are generalized. Moreover, as an application, an example to illustrate the results is given also.关键词
P - Laplacian/Ricceri三临界点定理/变分方法/Dirichlet问题Key words
p-Laplacian/Ricceri three critical points theorem/variational method/Neumann eigenvalue problem 2000 MSC:34A34分类
数理科学引用本文复制引用
许万银..一类非线性Dirichlet问题的多重解[J].四川师范大学学报（自然科学版）,2012,35(2):231-235,5.基金项目
甘肃省高校研究生导师科研基金(0810-03)资助项目 （0810-03）
