A relationship between the Dirichlet and Regularity Problems for elliptic equations

Simple item page
dc.creatorShen, Zhongwei
dc.date2006-07-10
dc.date.accessioned2026-07-07T07:18:13Z
dc.date.available2026-07-07T07:18:13Z
dc.descriptionWe study the relationship between the solvability of the $L^p$ Dirichlet problem $(D)_p$ and that of the $L^q$ regularity problem $(R)_q$ for second order elliptic equations with bounded measurable coefficients. It is known that the solvability of $(R)_p$ implies that of $(D)_{p^\prime}$. In this note we show that if $(D)_{p^\prime}$ is solvable, then either $(R)_p$ is solvable or $(R)_q$ is not solvable for any $1<q<\infty$.
dc.identifierhttps://arxiv.org/abs/math/0607239
dc.identifierhttp://arxiv.org/abs/math/0607239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114220
dc.subjectAnalysis of PDEs
dc.titleA relationship between the Dirichlet and Regularity Problems for elliptic equations
dc.typetext

Files

Collections

arXiv