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Bibliographic Details
Main Author: Lee, Chiun-Chang
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.12835
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Table of Contents:
  • The focus of this study is on exploring some qualitative properties of solutions to a class of semilinear elliptic problems in bounded domains, where the boundary conditions depend non-locally on the unknown solution at specified interior points and its integral. The primary approach integrates a fixed-point argument with refined asymptotic estimates to establish the existence and structure of solutions. Furthermore, the maximum principles are established under practical nonlocal-type boundary conditions.