@Article{JNMA-6-1022,
author = {Sun , Jian-Wen},
title = {Uniqueness for the Semilinear Elliptic Problems},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {4},
pages = {1022--1030},
abstract = {<p style="text-align: justify;">In this paper, we study the positive solutions of the semilinear
elliptic equation $$\begin{cases} Lu+g(x,u)u=0 \ \ &amp;{\rm in}&amp; \Omega, \\ Bu=0 \ \ &amp;{\rm on}&amp; ∂Ω,&nbsp;\end{cases}$$where $\Omega ⊂\mathbb{R}^N$ is a bounded smooth domain, $L$ is an elliptic operator, $B$ is
a general boundary operator and $g(·, ·)$ is a continuous function. This is a
general problem proposed by Amann [Arch. Rational Mech. Anal. 44 (1972)],
Cac [J. London Math. Soc. 25 (1982)] and Hess [Math. Z. 154 (1977)]. We
obtain various uniqueness results when the nonlinearity function $g$ satisfies
some additional conditions.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.1022},
url = {http://global-sci.org/intro/article_detail/jnma/23669.html}
}