Multiplicity results for solutions of \(p\)-biharmonic problems

DOI10.1016/j.na.2019.111596zbMath1427.35086OpenAlexW2972872844MaRDI QIDQ2280376

Yongqiang Fu, Yao Lu

Publication date: 18 December 2019

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.111596

zbMATH Keywords

critical nonlinearity\(p\)-biharmonic operatorcohomological linkingFountain theorem over cones

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Higher-order elliptic equations (35J30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Unnamed Item ⋮ Uniqueness of weak solutions for a biharmonic problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates of the principal eigenvalue of the \(p\)-biharmonic operator
• Bifurcation and multiplicity results for critical \(p\)-Laplacian problems
• Multiplicity of positive radially symmetric solutions for a quasilinear biharmonic equation in the plane
• Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
• Fountain theorems over cones and applications
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential
• Remarks on a polyharmonic eigenvalue problem
• Critical exponents and critical dimensions of polyharmonic operators
• Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic
• The existence of infinitely many solutions for p-Laplacian type equations on R^N with linking geometry
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function