Singular (p, q)-equations with superlinear reaction and concave boundary condition. Issue 3 (11th February 2022)

• Record Type: Journal Article
• Authors: Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca
• Is Part Of: Applicable analysis. Volume 101:Issue 3(2022)
• Page Start: 891
• Page End: 913
• Publication Date: 2022-02-11
• Subjects: Concave and convex nonlinearities -- singular term -- nonlinear regularity theory -- nonlinear maximum principle -- comparison principles -- truncation (p, q)-Laplacian; 35J75 -- 35J92 -- 35P30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1761018
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We consider a parametric nonlinear elliptic problem driven by the sum of a p -Laplacian and of a q -Laplacian (a ( p, q ) -equation) with a singular and ( p − 1 ) -superlinear reaction and a Robin boundary condition with ( q − 1 ) -sublinear boundary term ( q < p ) . So, the problem has the combined effects of singular, concave and convex terms. We look for positive solutions and prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter varies.