Exact Structure of Positive Solutions for a $P$-Laplacian Problem Involving Singular and Superlinear Nonlinearities
Year: 2007
Type: article
Abstract: We study the structure of positive solutions for a p-Laplacian boundary value problem involving singular and superlinear nonlinearities.We prove that there exists λ * > 0 such that the problem has exactly two positive solutions for 0 < λ < λ * , exactly one positive solution for λ = λ * , and no positive solution for λ > λ * .More precisely, we give a complete description of the structure of the solution set.Our result partially generalizes some results of Wei [12].
Authors: Shin-Hwa Wang, Tzung-Shin Yeh
Institutions: Hsuan Chuang University, National Tsing Hua University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1994692496