摘要
利用变分方法和Ricceri三临界点定理,建立了一类具有p-Laplacian的非线性特征值问题:-(u′(t)p-2u′(t))′+a(t)up-2u=λf(u(t)),a<t<b,u(a)=u(b)=0,至少存在3个弱解的充分条件,并且推广了已有文献的相关结果.
Using variational method and a three critical points theorem of Ricceri, we considered a class of quasilinear eigenvalue problem of the form {-(|u′(t)|^p-2u′(t))′+a(t)|u|^p-2u=λf(u(t)),a〈t〈b,u(a)=u(b)=0,and sufficient conditions which guarantee the existence of at least three weak solutions for the above problem were established. Moreover, the results in the literature are generalized.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2008年第4期633-637,共5页
Journal of Jilin University:Science Edition
基金
甘肃省高校研究生导师科研基金(批准号:0810-02)