Least energy solutions to an elliptic system with couplings on Kirchhoff term and nonlinear part

zbMath1480.35154MaRDI QIDQ2061726

Xiuli Tang, Jianqing Chen

Publication date: 21 December 2021

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/ade026-0506-201

zbMATH Keywords

elliptic system of second-order equationsKirchhoff terms, existence, non-existence

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Cites Work

• Bound state solutions of Kirchhoff type problems with critical exponent
• An optimal constant for the existence of least energy solutions of a coupled Schrödinger system
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in \(\mathbb R^N\)
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Stationary Kirchhoff systems in closed 3-dimensional manifolds
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• Ground states for Kirchhoff equations without compact condition
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Standing waves of some coupled nonlinear Schrödinger equations

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