含Φ-Laplace算子和凹凸非线性项的拟线性椭圆型方程正解的分歧性  

Bifurcation of Positive Solutions for Quasilinear Elliptic Equations withΦ-Laplacian Operator and Concave-Convex Nonlinearities

作　　者：王明旻 贾高[1] Wang Mingmin;Jia Gao(School of Science,University of Shanghai for Science and Technology,Shanghai 200093)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《数学物理学报（A辑）》2020年第5期1235-1247,共13页Acta Mathematica Scientia

基　　金：国家自然科学基金(11171220)。

摘　　要：该文利用临界点理论、截断技巧和比较原理,研究了一类含Φ-Laplace算子和凹凸非线性项的拟线性椭圆型方程正解关于参数λ的分歧性,进一步得到了最小正解的存在性和关于参数λ的单调性.In this paper,we study the bifurcation of positive solutions about parameterλfor the quasilinear elliptic equations withΦ-Laplacian operator and concave-convex nonlinearities by using the critical point theory,appropriate truncation and comparison techniques.Furthermore,we obtain the existence of the smallest positive solution and the monotonicity with respect to parameterλ.

关 键 词：拟线性椭圆型方程 分歧性 截断技巧 

分 类 号：O175.3[理学—数学]