Existence and multiplicity of positive solutions for singular p&q-Laplacian problems via sub-supersolution method
Date
2021-04-02
Authors
Arruda, Suellen Cristina Q.
Nascimento, Rubia G.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this work we show the existence and multiplicity of positive solutions for a singular elliptic problem which the operator is non-linear and non-homogenous. We use the sub-supersolution method to study the following class of p&q-singular problems.
-div (a(|∇u|<sup>p</sup>)|∇u|p-2∇u) = h(x)u−γ + ƒ(x, u) in Ω,
u > 0 in Ω,
u = 0 on ∂Ω,
where Ω is a bounded domain in ℝN with N ≥ 3, 2 ≤ p < N and γ > 0. The hypotheses on the functions α, h, and ƒ allow us to extend this result to a large class of problems.
Description
Keywords
p&q-problem, Sub-supersolution method, Singular elliptic problem
Citation
Arruda, S. C. Q., & Nascimento, R. G. (2021). Existence and multiplicity of positive solutions for singular p&q-Laplacian problems via sub-supersolution method. <i>Electronic Journal of Differential Equations, 2021</i>(25), pp. 1-11.
Rights
Attribution 4.0 International