On a critical biharmonic system involving \(p\)-Laplacian and Hardy potential

DOI10.1016/j.aml.2021.107433zbMath1479.35356OpenAlexW3165680575MaRDI QIDQ2235026

Tao Yang

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107433

zbMATH Keywords

existencevariational methods\(p\)-Laplacianimproved Sobolev inequalitycritical biharmonic system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Higher-order elliptic systems (35J48)

Related Items (1)

On an elliptic Kirchhoff–Boussinesq type problems with exponential growth

Cites Work

• Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
• Existence of solutions to fractional \(p\)-Laplacian systems with homogeneous nonlinearities of critical Sobolev growth
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• On a \(p\)-Laplace equation with multiple critical nonlinearities
• Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms
• Improved Sobolev inequalities and critical problems
• Ground state solution of critical biharmonic equation with Hardy potential and \(p\)-Laplacian
• Dual variational methods in critical point theory and applications
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Weighted Norm Inequalities for Fractional Integrals
• Existence and symmetry of positive ground states for a doubly critical Schrödinger system

This page was built for publication: On a critical biharmonic system involving \(p\)-Laplacian and Hardy potential