Uniqueness of positive and compacton-type solutions for a resonant quasilinear problem (Q2403354)

In this paper, the authors are concerned with the existence of positive solutions of a one-dimensional p-Laplacian resonant problem with p-sublinear terms and depending on a positive parameter. The methods used in this paper relies on the methods introduced in [\textit{G. Anello} and \textit{L. Vilasi}, J. Math. Anal. Appl. 431, No. 1, 429--439 (2015; Zbl 1322.34028)]. Since the interaction occurs between a p-linear resonant term and two p-sublinear ones, the problem presented in this paper is more delicate than previous works. From this paper we learn that the presence resonance entails the uniqueness of positive solutions.