@article{Korman2022, 
author = {Philip Korman},
title = {Non-singular solutions of  p-Laplace problems, allowing multiple changes of sign in the nonlinearity},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {4},
pages = {1414-1418},
keywords = {non-singular positive solutions, p-Laplace problems},
url = {https://www.sciopen.com/article/10.3934/era.2022073},
doi = {10.3934/era.2022073},
abstract = {For the  p-Laplace Dirichlet problem (where  φ(t)=t|t|p−2,  p>1)   φ(u′(x))′+f(u(x))=0for−1<x<1,u(−1)=u(1)=0assume that  f′(u)>(p−1)f(u)u>0 for  u>γ>0, while  ∫uγf(t)dt<0 for all  u∈(0,γ). Then any positive solution, with  max(−1,1)u(x)=u(0)>γ, is non-singular, no matter how many times  f(u) changes sign on  (0,γ). The uniqueness of solution follows.}
}