CAJ | 학술논문

万方数据

数学季刊(英文版) 수학계간(영문판)
CHINESE QUARTERLY JOURANL OF AMTHEMTICS
2001年 2期 98-103 ,共6页

冯秀芳%郑驻军%赵秀娥%郑君英馮秀芳%鄭駐軍%趙秀娥%鄭君英

풍수방%정주군%조수아%정군영

广义临界点%Z2指标%半线性椭圆方程廣義臨界點%Z2指標%半線性橢圓方程
엄의림계점%Z2지표%반선성타원방정

本文首先应用Z2指标理论给出了一类对称泛函具有无穷多广义临界点的充分条件，进而得出了一类全空间上的半线性椭圆方程具有无穷多解的结论.
본문수선응용Z2지표이론급출료일류대칭범함구유무궁다엄의림계점적충분조건，진이득출료일류전공간상적반선성타원방정구유무궁다해적결론.
In this paper, we give a Z2 index theory of generalized critical point. By this theory we get a sufficient condition on the existing result of a class functional, as an example we give a new result that the equation -Δu+u=｜u｜p-1u,　x∈RN, (1) has infinite solutions.