Biharmonic equation and an improved Hardy inequality

DOI10.1007/s10255-004-0182-yzbMath1163.35358OpenAlexW2056831966MaRDI QIDQ1884655

Yangxin Yao, Zhi-Hui Chen, Yao-Tian Shen

Publication date: 5 November 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0182-y

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Inequalities for sums, series and integrals (26D15)

Related Items (3)

Hardy-Sobolev inequalities for the biharmonic operator with remainder terms ⋮ Multiple and sign-changing solutions for a class of semilinear biharmonic equation ⋮ Radial solutions of a biharmonic equation with vanishing or singular radial potentials

Cites Work

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• Hardy inequalities and some critical elliptic and parabolic problems
• On the variational principle
• An improved Hardy-Sobolev inequality and its application
• Existence of positive solutions of some semilinear elliptic equations with singular coefficients
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Symmetric Decreasing Rearrangement Is Sometimes Continuous
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

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