Existence of Multiple Positive Solutions for Brezis–Nirenberg-Type Problems Involving Singular Nonlinearities

Mohammed El Mokhtar Ould El Mokhtar, Atika Matallah and Antonio Masiello

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: \This article is devoted to the existence and multiplicity to the following Brezis–Nirenberg-type problems involving singular nonlinearities: −Δu=up−1u+λu−1−β/xαuin Ωu=0on ∂Ω, where Ω is a smooth bounded domain in ℠NN≥3, 0∈Ω,λ>0, p=2∗−1 with 2∗≔2N/N−2 is the critical Sobolev exponent, 0≤α

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4709839

DOI: 10.1155/2021/4709839

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