Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains
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Publication:2892819
DOI10.1090/S0894-0347-2011-00726-1zbMath1250.35084MaRDI QIDQ2892819
Publication date: 25 June 2012
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
regularityReifenberg flat domain\(p\)-harmonic functionfree boundary regularityAhlfors regular domainnontangentially accessible domains
Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)
Related Items (25)
The boundary Harnack inequality for variable exponent \(p\)-Laplacian, Carleson estimates, barrier functions and \(p(\cdot)\)-harmonic measures ⋮ The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green's function ⋮ A boundary Harnack inequality for singular equations of 𝑝-parabolic type ⋮ Regularity estimates for quasilinear elliptic equations with variable growth involving measure data ⋮ The Hadamard variational formula and the Minkowski problem for \(p\)-capacity ⋮ Rectifiability and elliptic measures on 1-sided NTA domains with Ahlfors-David regular boundaries ⋮ Boundary estimates for solutions to operators of \(p\)-Laplace type with lower order terms ⋮ 3D Koch-type crystals ⋮ Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations ⋮ Square function estimates for the evolutionary \(p\)-Laplace equation ⋮ Existence and regularity for nonlinear parabolic double obstacle problems ⋮ Small-constant uniform rectifiability ⋮ Absolute continuity of harmonic measure for domains with lower regular boundaries ⋮ A \(L_p\) Brunn-Minkowski theory for logarithmic capacity ⋮ On an inverse type problem for the heat equation in parabolic regular graph domains ⋮ Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system ⋮ A new characterization of chord-arc domains ⋮ The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability ⋮ Estimates for solutions to equations of \(p\)-Laplace type in Ahlfors regular NTA-domains ⋮ Global weighted estimates for nonlinear elliptic obstacle problems over Reifenberg domains ⋮ The Lp Minkowski problem for q-capacity ⋮ Optimal regularity for nonlinear elliptic equations with righthand side measure in variable exponent spaces ⋮ The Brunn-Minkowski Inequality and A Minkowski Problem for Nonlinear Capacity ⋮ Boundary estimates for solutions to linear degenerate parabolic equations ⋮ Phragmén-Lindelöf theorems and \(p\)-harmonic measures for sets near low-dimensional hyperplanes
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