Existence of Optimal Control for a Class of Kirchhoff–Poisson System
From MaRDI portal
Publication:6494961
DOI10.1007/S12346-024-01019-7MaRDI QIDQ6494961
Jun Lei, Yue Wang, Ying Zhou, Wei Wei
Publication date: 30 April 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence theories for optimal control problems involving partial differential equations (49J20) Elliptic equations and elliptic systems (35Jxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solutions for a class of Schrödinger-Poisson system in bounded domains
- Multiple solutions for nonhomogeneous Schrödinger-Maxwell and Klein-Gordon-Maxwell equations on \(\mathbb R^3\)
- Infinitely many solutions for Kirchhoff equations with sign-changing potential and Hartree nonlinearity
- Schrödinger-Kirchhoff-Poisson type systems
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Ground state solutions for Kirchhoff-type equations with a general nonlinearity in the critical growth
- Positive solutions for Kirchhoff-Schrödinger-Poisson systems with general nonlinearity
- On the variational principle
- Multiple positive solutions for Kirchhoff type problems with singularity
- Ground state solutions for Kirchhoff-Schrödinger-Poisson system with sign-changing potentials
- Initial value problem for fractional Volterra integro-differential equations with Caputo derivative
- Least energy sign-changing solutions for Kirchhoff-Poisson systems
- On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators
- Existence of positive solutions for a new class of Kirchhoff parabolic systems
- Dual variational methods in critical point theory and applications
- Global existence and decay of solutions for a class of viscoelastic Kirchhoff equation
- Mathematical physics of quantum mechanics. Selected and refereed lectures from the QMath9 conference, Giens, France, September 12--16, 2004.
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Infinitely many positive solutions for Kirchhoff-type problems
- Approximate controllability and optimal control of impulsive fractional semilinear delay differential equations with non-local conditions
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- General decay for Kirchhoff type in viscoelasticity with not necessarily decreasing kernel
- An existence result for singular nonlocal fractional Kirchhoff–Schrödinger–Poisson system
- Least energy sign-changing solutions for a class of fractional Kirchhoff–Poisson system
- Fundamental Concepts in Modern Analysis
- An optimal control problem for a Kirchhoff-type equation
- Some existence results for an elliptic equation of Kirchhoff‐type with changing sign data and a logarithmic nonlinearity
- Existence, uniqueness and multiplicity of positive solutions for Schrödinger-Poisson system with singularity
This page was built for publication: Existence of Optimal Control for a Class of Kirchhoff–Poisson System