吉林师范大学学报：自然科学版
吉林師範大學學報：自然科學版
길림사범대학학보：자연과학판
Jilin Normal University Journal:Natural Science Edition
2012年
1期
45-49
,共5页
超线性%Cerami条件%喷泉定理
超線性%Cerami條件%噴泉定理
초선성%Cerami조건%분천정리
superlinear%Cerami condition%Fountain theorem
在无界区域RN上考虑了一类带权函数的超线性p-Laplace方程,这里的非线性项是奇的.在比广义单调性更弱的条件下,通过利用带Cerami条件的喷泉定理得到了该问题的无穷多解的存在性,推广了一些已知结果.
在無界區域RN上攷慮瞭一類帶權函數的超線性p-Laplace方程,這裏的非線性項是奇的.在比廣義單調性更弱的條件下,通過利用帶Cerami條件的噴泉定理得到瞭該問題的無窮多解的存在性,推廣瞭一些已知結果.
재무계구역RN상고필료일류대권함수적초선성p-Laplace방정,저리적비선성항시기적.재비엄의단조성경약적조건하,통과이용대Cerami조건적분천정리득도료해문제적무궁다해적존재성,추엄료일사이지결과.
A class of superlinear p-Laplace equations with weights on unbounded domain RN was considered,where the nonlinearity is o dd.In the condition weaker than the generalized monotonicity condition,the exist ence of infinitely many solutions was obtained through the Fountain theorem with Cerami condition.Some known results were generailized.
