Ground state solutions to biharmonic equations involving critical nonlinearities and multiple singular potentials

DOI10.1016/j.aml.2016.10.014zbMath1359.35046OpenAlexW2548374574MaRDI QIDQ504430

Ping Xiong, Dongsheng Kang

Publication date: 16 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.aml.2016.10.014

zbMATH Keywords

variational methodbiharmonic problemground state solutionRellich inequality

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for higher-order elliptic equations (35J35)

Related Items (max. 100)

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ Existence and nonexistence results for critical biharmonic systems involving multiple singularities ⋮ Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms ⋮ Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

Cites Work

• Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
• Nonlinear critical problems for the biharmonic operator with Hardy potential
• The role played by space dimension in elliptic critical problems
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Critical exponents, critical dimensions and the biharmonic operator
• Elliptic Equations with Multi-Singular Inverse-Square Potentials and Critical Nonlinearity
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