Positive solutions for nonlinear Schrödinger-Kirchhoff equations in \(\mathbb{R}^3\)

DOI10.1016/j.aml.2020.106274zbMath1437.35287OpenAlexW3006597589MaRDI QIDQ2176499

Wei Chen, Yue Wu, Zun Wei Fu

Publication date: 4 May 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106274

zbMATH Keywords

variational methodsSchrödinger-Kirchhoff-type equationsexistence of positive radial solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09)

Related Items (8)

The existence of sign-changing solutions for Schrödinger-Kirchhoff problems in \(\mathbb{R}^3\) ⋮ Sign-changing solutions for p-Laplacian Kirchhoff-type equations with critical exponent ⋮ Positive ground states for nonlinear Schrödinger-Kirchhoff equations with periodic potential or potential well in \(\mathbf{R}^3\) ⋮ On the critical Kirchhoff problems with super-linear nonlinearities and variable potentials ⋮ Ground state solutions of Pohožaev type for Kirchhoff‐type problems with general convolution nonlinearity and variable potential ⋮ Nontrivial solutions of modified nonlinear fourth-order elliptic equation in \(\mathbb{R}^N\) ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ Nontrivial solutions for 4-superlinear Schrödinger-Kirchhoff equations with indefinite potentials

Cites Work

• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Nonlinear perturbations of a periodic Kirchhoff equation in \(\mathbb R^N\)
• Nontrivial solutions of Kirchhoff type problems
• The elliptic Kirchhoff equation in \(\mathbb {R}^{N}\) perturbed by a local nonlinearity.
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Nonlinear scalar field equations. I: Existence of a ground state
• Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case
• Existence of positive solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^n\)
• Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Standing waves for 4-superlinear Schrödinger-Kirchhoff equations
• Multiple solutions for Kirchhoff-type equations in $\mathbb {R}^N$RN

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