Asymptotic profiles of positive solutions in a nonlocal elliptic problem

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Key Points

The aim is to analyze the behavior of positive solutions of a specific nonlocal elliptic problem.
Examined the nonlocal elliptic problem defined on a bounded domain with smooth boundary.
Investigated the characteristics of solutions involving parameters a, b, λ, p, and r under specified conditions.
Utilized mathematical analysis to determine asymptotic profiles of the solutions.
Positive solutions exhibit specific asymptotic behavior near the boundary of the domain.
The analysis reveals the influence of parameters a, b, λ, p, and r on the qualitative properties of solutions.
Asymptotic results suggest solutions approach certain profiles depending on the parameters.

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Investigates the behavior of positive solutions in a nonlocal elliptic problem, highlighting key mathematical characteristics.

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Sun et al. (2026) studied this question.

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