The Lp boundary value problems on Lipschitz domains

• Autores: Zhongwei Shen
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 216, Nº 1, 2007, págs. 212-254
• Idioma: inglés
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• Resumen

  • Let O be a bounded Lipschitz domain in . We develop a new approach to the invertibility on Lp(?O) of the layer potentials associated with elliptic equations and systems in O. As a consequence, for n4 and where e>0 depends on O, we obtain the solvability of the Lp Neumann type boundary value problems for second order elliptic systems. The analogous results for the biharmonic equation are also established.