Publication detail
Singular non-autonomous (p,q)-equations with competing nonlinearities
PAPAGEORGIOU, N. QIN, D. RADULESCU, V.
Original Title
Singular non-autonomous (p,q)-equations with competing nonlinearities
Type
journal article in Web of Science
Language
English
Original Abstract
We consider a parametric non-autonomous (p,q)-equation with a singular term and competing nonlinearities, a parametric concave term and a Carathéodory perturbation. We consider the cases where the perturbation is (p−1)-linear and where it is (p−1)-superlinear (but without the use of the Ambrosetti–Rabinowitz condition). We prove an existence and multiplicity result which is global in the parameter λ>0 (a bifurcation type result). Also, we show the existence of a smallest positive solution and show that it is strictly increasing as a function of the parameter. Finally, we examine the set of positive solutions as a function of the parameter (solution multifunction). First, we show that the solution set is compact in C01(Ω̄) and then we show that the solution multifunction is Vietoris continuous and also Hausdorff continuous as a multifunction of the parameter.
Keywords
(p-1)-linear and (p-1)-superlinear perturbations; Minimal solution; Nonlinear regularity theory; Solution multifunction; Truncations and comparisons
Authors
PAPAGEORGIOU, N.; QIN, D.; RADULESCU, V.
Released
2. 2. 2025
ISBN
1878-5719
Periodical
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Year of study
81
Number
104225
State
Kingdom of the Netherlands
Pages count
25
URL
BibTex
@article{BUT194033,
author="Nikolaos S. {Papageorgiou} and Dongdong {Qin} and Vicentiu {Radulescu}",
title="Singular non-autonomous (p,q)-equations with competing nonlinearities",
journal="NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS",
year="2025",
volume="81",
number="104225",
pages="25",
doi="10.1016/j.nonrwa.2024.104225",
issn="1878-5719",
url="https://doi.org/10.1016/j.nonrwa.2024.104225"
}
Responsibility: Ing. Marek Strakoš