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.

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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.

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Attribution 4.0 International

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