The existence of multiple solutions for nonhomogeneous Kirchhoff type equations in \(\mathbb{R}^3\)

DOI10.1155/2013/806865zbMath1470.35163OpenAlexW2002538584WikidataQ58917507 ScholiaQ58917507MaRDI QIDQ2319126

Qi Zhang, Xiaoli Zhu

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/806865

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60)

Related Items (2)

On the nonhomogeneous Kirchhoff-type problems ⋮ Multiple solutions for Grushin operator without odd nonlinearity

Cites Work

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• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• 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 \(\mathbb R^3\)
• Nonlinear scalar field equations. I: Existence of a ground state
• Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)
• Minimax theorems
• Multiplicity of high energy solutions for superlinear Kirchhoff equations
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N

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