scientific article; zbMATH DE number 7616110

zbMath1501.35162MaRDI QIDQ5049861

Gaurav Dwivedi

Publication date: 14 November 2022

Full work available at URL: http://www.math.nthu.edu.tw/~amen/2021/AMEN-200803.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

existencevariational methodsKirchhoff-type equationpolyharmonic operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62)

Cites Work

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• Polyharmonic Kirchhoff type equations with singular exponential nonlinearities
• Existence of nontrivial solutions to polyharmonic equations with subcritical and critical exponential growth
• Multiplicity results for some elliptic problems of \(n\)-Laplace type
• Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems
• Three solutions for a class of higher dimensional singular problems
• Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
• Existence of solutions for a higher order Kirchhoff type problem with exponential critical growth
• Existence of three solutions for \((p, q)\)-biharmonic systems
• A further three critical points theorem
• A sharp inequality of J. Moser for higher order derivatives
• Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth
• Multiple solutions for a class of \(N\)-Kirchhoff type equations via variational methods
• Multiple solutions for a perturbed fourth-order Kirchhoff type elliptic problem
• The Nehari manifold for a quasilinear polyharmonic equation with exponential nonlinearities and a sign-changing weight function
• Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic
• Adams Type Inequality and Application for a Class of Polyharmonic Equations with Critical Growth

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