Ma Tian, Yu Qing-yu. A Bifurcation Theorem of Nongradient, Weakly Continuous Maps and Applications[J]. Applied Mathematics and Mechanics, 1988, 9(10): 933-938.
Citation:
Ma Tian, Yu Qing-yu. A Bifurcation Theorem of Nongradient, Weakly Continuous Maps and Applications[J]. Applied Mathematics and Mechanics, 1988, 9(10): 933-938.
Ma Tian, Yu Qing-yu. A Bifurcation Theorem of Nongradient, Weakly Continuous Maps and Applications[J]. Applied Mathematics and Mechanics, 1988, 9(10): 933-938.
Citation:
Ma Tian, Yu Qing-yu. A Bifurcation Theorem of Nongradient, Weakly Continuous Maps and Applications[J]. Applied Mathematics and Mechanics, 1988, 9(10): 933-938.
In this paper, M. A. Krasnosels'kii's local bifurcation theorem for compactly continuous mappings is extended to weakly continuous mappings. So we can surmount the difficulty of lacking compactness in application. Lastly, we apply it to Dilichlet problem of quasilinear elliptic equation.