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

In this paper, we investigate a quasilinear elliptic boundary value problem as where Ω is an open bounded subset of , 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.

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Publication Details

Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/5375297
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Jimao Xiawu, Yongzhi Daiji
Journal of Mathematics
Nonlinear Partial Differential Equations
article

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

Jimao Xiawu, Yongzhi Daiji
article en

Abstract

In this paper, we investigate a quasilinear elliptic boundary value problem as where Ω is an open bounded subset of , 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.

Journal of MathematicsVol. 2025(1)
Qinghai University (CN), Minzu University of China (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 85%
Nonlinear Partial Differential Equations
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