Zhu, X.; Wu, H. Existence and Limit Behavior of Constraint Minimizers for a Varying Non-Local Kirchhoff-Type Energy Functional. Mathematics2024, 12, 661.
Zhu, X.; Wu, H. Existence and Limit Behavior of Constraint Minimizers for a Varying Non-Local Kirchhoff-Type Energy Functional. Mathematics 2024, 12, 661.
Zhu, X.; Wu, H. Existence and Limit Behavior of Constraint Minimizers for a Varying Non-Local Kirchhoff-Type Energy Functional. Mathematics2024, 12, 661.
Zhu, X.; Wu, H. Existence and Limit Behavior of Constraint Minimizers for a Varying Non-Local Kirchhoff-Type Energy Functional. Mathematics 2024, 12, 661.
Abstract
In this paper, we study the constrained minimization problem for an energy functional which is related to the following Kirchhoff type equation
\begin{equation*}
-\Big(\eta+b\big(\int_{\R^{3}}|\nabla u|^{2}dx\big)^{s}\Big)\Delta u+V(x)u=\mu u +\lambda|u|^{p}u,\end{equation*}
where $b$ is a positive constant, parameters $\eta\geq0, \lambda>0$, exponents $s>0$, $0
Keywords
Kirchhoff type energy functional; constraint minimizer; limit behavior; varying nonlocal term
Subject
Computer Science and Mathematics, Analysis
Copyright:
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