Nodal solutions with a prescribed number of nodes for the Kirchhoff-type problem with an asymptotically cubic term

DOI10.1515/anona-2022-0323zbMath1522.35261OpenAlexW4385467870MaRDI QIDQ6075506

Yanling Yang, Tao Wang, Hui Guo

Publication date: 20 September 2023

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0323

zbMATH Keywords

Kirchhoff equationgluing methodMiranda theoremexistence of radial nodal solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

Nodal solutions to ( p , q )-Laplacian equations with critical growth

Cites Work

• Unnamed Item
• Ground state sign-changing solutions for Kirchhoff type problems in bounded domains
• Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth
• Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
• Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
• The principle of symmetric criticality
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Existence of solitary waves in higher dimensions
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Nodal solutions for a Kirchhoff type problem in \(\mathbb{R}^N\)
• Minimax theorems
• Multiple nodal solutions of the Kirchhoff-type problem with a cubic term
• On isolated singularities of Kirchhoff equations
• Infinitely many nodal solutions with a prescribed number of nodes for the Kirchhoff type equations
• Ground state sign-changing solutions for a Kirchhoff equation with asymptotically 3-linear nonlinearity
• Existence and nonexistence of nodal solutions for Choquard type equations with perturbation
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Concentrating Bound States for Kirchhoff Type Problems in ℝ³ Involving Critical Sobolev Exponents
• On the Well-Posedness of the Kirchhoff String

This page was built for publication: Nodal solutions with a prescribed number of nodes for the Kirchhoff-type problem with an asymptotically cubic term