Higher order elliptic operators of divergence form in \(C^{1}\) or Lipschitz domains

DOI10.1016/j.jde.2006.07.024zbMath1143.35023OpenAlexW2067626075MaRDI QIDQ855384

Yoichi Miyazaki

Publication date: 7 December 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.07.024

zbMATH Keywords

resolventelliptic operatorHardy's inequalityLipschitz domain\(L^{p}\) theory

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05)

Related Items

Spectral asymptotics for Dirichlet elliptic operators with non-smooth coefficients ⋮ Schauder theory for Dirichlet elliptic operators in divergence form ⋮ Gradient estimates for higher order elliptic equations on nonsmooth domains ⋮ Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces ⋮ Gradient estimates for a class of higher-order elliptic equations of \(p\)-growth over a nonsmooth domain ⋮ Higher order elliptic and parabolic systems with variably partially BMO coefficients in regular and irregular domains ⋮ Global regularity for higher order divergence elliptic and parabolic equations ⋮ Elliptic equations with BMO nonlinearity in Reifenberg domains ⋮ On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients ⋮ Orlicz regularity for higher order parabolic equations in divergence form with coefficients in weak BMO ⋮ Norm estimates and integral kernel estimates for a bounded operator in Sobolev spaces ⋮ \(L_p\) regularity theorem for elliptic equations in less smooth domains

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