Solutions for a Schrödinger-Kirchhoff equation with indefinite potentials

DOI10.1007/s00032-018-0276-2zbMath1394.35179OpenAlexW2789444399MaRDI QIDQ1650571

Marcelo F. Furtado, Alex M. Batista

Publication date: 4 July 2018

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-018-0276-2

zbMATH Keywords

nodal solutionground state solutionSchrödinger-Kirchhoff equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (5)

High energy solutions of a quadratic coupled Schrödinger system with an asymmetric potential in entire space ⋮ Unnamed Item ⋮ Positive, negative and least energy nodal solutions for Kirchhoff equations in ℝ^N ⋮ Ground state solutions for Kirchhoff-Schrödinger-Poisson system with sign-changing potentials ⋮ Sign-changing and nontrivial solutions for a class of Kirchhoff-type problems

Cites Work

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• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Positive and Nodal Solutions For a Nonlinear Schrödinger Equation with Indefinite Potential
• Existence of a least energy nodal solution for a Schrödinger-Kirchhoff equation with potential vanishing at infinity
• A note on the elliptic Kirchhoff equation in ℝ^Nperturbed by a local nonlinearity

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