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- W2000454052 abstract "Using Maz ’ya type integral identities with power weights, we obtain new boundary estimates for biharmonic functions on Lipschitz and convex domains in ℝn. Forn ≥ 8, combinedwitharesultin[18], these estimates lead to the solvability of the Lp Dirichlet problem for the biharmonic equation on Lipschitz domains for a new range of p. In the case of convex domains, the estimates allow us to show that the Lp Dirichlet problem is uniquely solvable for any 2 − e < p < ∞ and n ≥ 4." @default.
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- W2000454052 date "2006-12-01" @default.
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- W2000454052 title "On estimates of biharmonic functions on Lipschitz and convex domains" @default.
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- W2000454052 doi "https://doi.org/10.1007/bf02922138" @default.
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