A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem

Exact number of pseudo-symmetric positive solutions for a p-Laplacian three-point boundary value problems and their applications

“…See, e.g., [1,[3][4][5][6][7][8][9][10][11][12] for some previous studies in this area. For this area, it is here worth mentioning that Liu [1] solved this open problem.…”

“…In particular, for the case f λ (u(x)) = λg(u(x)) + h(u(x)), we would like to mention some results of Shin-Hwa Wang and Tzung-Shin Yeh [12].…”

“…In [12], Shin-Hwa Wang and Tzung-Shin Yeh studied the bifurcation diagrams of positive solutions of the p-Laplacian Dirichlet problem: More recently, Feng, Zhang and Ge [4] considered…”

“…The main features of this paper are as follows. Firstly, comparing with [1,[3][4][5][6][7][8][9][10][11][12], we discuss the exact number of solutions for a class of three-point boundary value problems. It is important to indicate that it is a first paper in which the exact number of solutions is invested to three-point boundary value problems.…”

“…It is important to indicate that it is a first paper in which the exact number of solutions is invested to three-point boundary value problems. Secondly, comparing with [1,[3][4][5][6][7][8][9][10][11][12], we deal with the exact number of pseudo-symmetric positive solutions for problem (1.1) λ . The notation of pseudo-symmetric was put forward in [13].…”