Boundedness of the Hessian of a Biharmonic Function in a Convex Domain

DOI10.1080/03605300801891919zbMath1186.35051arXivmath/0611058OpenAlexW1996788106MaRDI QIDQ3532805

Svitlana Mayboroda, Vladimir Gilelevich Maz'ya

Publication date: 28 October 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611058

zbMATH Keywords

Dirichlet problembiharmonic equationconvex domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) Higher-order elliptic equations (35J30)

Related Items (7)

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ A bilinear estimate for biharmonic functions in Lipschitz domains ⋮ Elliptic equations in convex domains ⋮ Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients ⋮ A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains

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