Positive solutions for resonant boundary value problems with the scalar p-Laplacian and nonsmooth potential
Leszek Gasiński · Discrete and Continuous Dynamical Systems · 2007
In this paper we study boundary value problem with one dimensional $p$-Laplacian. Assuming complete resonance at $+\infty$ and partial resonance at $0^+$, an existence of at least one positive solution is proved. By strengthening our assumptions we can guarantee strict positivity of the obtained solution.