Existence of Solutions to Noncoercive Elliptic Equations Involving Some Lower-Order Terms

Jimao Xiawu and Yongzhi Daiji

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: In this paper, we investigate a quasilinear elliptic boundary value problem as −div∇up−2∇u/1+uθp−1+ur−1u=huf,x∈Ω,ux≥0,x∈Ω,ux=0,x∈∂Ω, where Ω is an open bounded subset of RNN>2, p>1, θ≥0, and f≥0 belongs to a suitable Lebesgue space. The function h is continuous, nonnegative, may blow up at zero, and it is bounded at infinity. We are dedicated to studying the existence of solutions to the above equation in the entire article.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5375297

DOI: 10.1155/jom/5375297

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