Existence of non-trivial solutions for the Kirchhoff-type equations with Fučik-type resonance at infinity

DOI10.11948/20200128MaRDI QIDQ6596639

Xing-Ju Chen, Zeng-Qi Ou

Publication date: 2 September 2024

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

zbMATH Keywords

mountain pass theoremFučik spectrumKirchhoff type equationcompactness condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Title not available (Why is that?)
• Existence of solutions for Kirchhoff type problems with resonance at higher eigenvalues
• Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík type resonance at infinity. II
• Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík-type resonance at infinity. III
• Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities
• Solutions of Hartree-Fock equations for Coulomb systems
• On sign-changing and multiple solutions of the \(p\)-Laplacian.
• Minimax theorems
• Resonance problems for Kirchhoff type equations
• Existence of nontrivial solutions for Kirchhoff-type problems with jumping nonlinearities
• Fučik spectrum for the Kirchhoff-type problem and applications
• Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition
• Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero
• ON SPECTRAL ASYMPTOTICS AND BIFURCATION FOR SOME ELLIPTIC EQUATIONS OF KIRCHHOFF-TYPE WITH ODD SUPERLINEAR TERM
• Positive solutions of Kirchhoff-type non-local elliptic equation: a bifurcation approach
• MULTIPLICITY RESULTS FOR A KIRCHHOFF SINGULAR PROBLEM INVOLVING THE FRACTIONAL P-LAPLACIAN
• A NON-RADIALLY SYMMETRIC SOLUTION TO A CLASS OF ELLIPTIC EQUATION WITH KIRCHHOFF TERM
• DYNAMIC PROPERTIES FOR NONLINEAR VISCOELASTIC KIRCHHOFF-TYPE EQUATION WITH ACOUSTIC CONTROL BOUNDARY CONDITIONS Ⅱ

Related Items (1)

A new variational characterization of the Fučik spectrum for the Kirchhoff-type problem and applications

This page was built for publication: Existence of non-trivial solutions for the Kirchhoff-type equations with Fučik-type resonance at infinity

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596639)