Extrapolation of solvability of the regularity and the Poisson regularity problems in rough domains

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Harmonic analysis on chord arc domains
Layer potentials and boundary value problems for elliptic equations with complex \(L^\infty\) coefficients satisfying the small Carleson measure norm condition
The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability
Abstract Hardy-Sobolev spaces and interpolation
An atomic decomposition of the Hajłasz Sobolev space on manifolds
Boundary behavior of harmonic functions in non-tangentially accessible domains
Some new function spaces and their applications to harmonic analysis.
Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
The Dirichlet problem in non-smooth domains
Potential techniques for boundary value problems on \(C^1\)-domains
Hölder quasicontinuity of Sobolev functions on metric spaces
The Neumann problem for elliptic equations with non-smooth coefficients
BMO solvability and absolute continuity of harmonic measure
Sobolev spaces on an arbitrary metric space
Poincaré inequalities and uniform rectifiability
A characterization of the weighted weak type Coifman-Fefferman and Fefferman-Stein inequalities
Harmonic measure and quantitative connectivity: geometric characterization of the \(L^p\)-solvability of the Dirichlet problem
Pointwise behaviour of \(M^{1,1}\) Sobolev functions
The regularity problem for elliptic operators with boundary data in Hardy-Sobolev space \(HS^1\)
Pointwise characterizations of Hardy-Sobolev functions
Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory
A Poincare-Type Inequality for Solutions of Elliptic Differential Equations
Extensions of Hardy spaces and their use in analysis
On weak reverse hölder inequalities for nondoubling harmonic measures
Sobolev Spaces on Metric Measure Spaces
Lebesgue points and capacities via boxing inequality in metric spaces
Carleson perturbations for the regularity problem
The regularity problem for the Laplace equation in rough domains