Existence and multiplicity of nontrivial solutions to a class of elliptic Kirchhoff-Boussinesq type problems

DOI10.1007/S00526-024-02734-4MaRDI QIDQ6493702

Unnamed Author, Giovany M. Figueiredo

Publication date: 29 April 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
• Existence of nontrivial solutions for a biharmonic equation with \(p\)-Laplacian and singular sign-changing potential
• Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
• On a critical biharmonic system involving \(p\)-Laplacian and Hardy potential
• Dual variational methods in critical point theory and applications
• Infinitely many sign-changing solutions for a class of biharmonic equation with \(p\)-Laplacian and Neumann boundary condition
• On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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