scientific article

zbMath0419.31004MaRDI QIDQ3852459

Vladimir Gilelevich Maz'ya

Publication date: 1979

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

zbMATH Keywords

Dirichlet problemsecond order partial differential equationsLaplace equationGreen functionbiharmonic operatorbehaviour of solutionsregularity of a boundary pointbiharmonic capacity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Connections of harmonic functions with differential equations in higher dimensions (31B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (10)

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ Boundary estimates and a Wiener criterion for the fractional Laplacian ⋮ The Wiener criterion for nonlocal Dirichlet problems ⋮ Pointwise inequalities for elliptic boundary value problems ⋮ Solvability in the sense of sequences for some fourth order non-Fredholm operators ⋮ Regularity of solutions to the polyharmonic equation in general domains ⋮ A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions ⋮ On regularity of a boundary point for higher-order parabolic equations: towards Petrovskii-type criterion by blow-up approach ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains ⋮ Entire solutions of certain fourth order elliptic problems and related inequalities

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