Higher order boundary Harnack principles in Dini type domains
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Publication:6644986
DOI10.1016/j.jde.2024.08.059MaRDI QIDQ6644986
Publication date: 28 November 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Dini continuityboundary regularitySchauder estimatesdegenerate or singular equationshigher-order boundary Harnack principle
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Singular elliptic equations (35J75)
Cites Work
- Unnamed Item
- A note on higher regularity boundary Harnack inequality
- A counterexample to the Hopf-Oleinik lemma (elliptic case)
- Ratios of harmonic functions with the same zero set
- Boundary Harnack estimates in slit domains and applications to thin free boundary problems
- On \(C^1\), \(C^2\), and weak type-\((1,1)\) estimates for linear elliptic operators. II
- New boundary Harnack inequalities with right hand side
- A parabolic analogue of the higher-order comparison theorem of De Silva and Savin
- Fatou theorems for some nonlinear elliptic equations
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Hölder domains and the boundary Harnack principle
- A boundary Harnack principle in twisted Hölder domains
- Comparisons of Kernel functions, boundary Harnack principle and relative Fatou theorem on Lipschitz domains
- Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
- Estimates of harmonic measure
- On boundary behavior of harmonic functions in Hölder domains
- On the regularity of very weak solutions for linear elliptic equations in divergence form
- Boundary Harnack principle on nodal domains
- Higher order parabolic boundary Harnack inequality in \(C^1\) and \(C^{k, \alpha}\) domains
- Boundary regularity estimates in Hölder spaces with variable exponent
- On the boundary Harnack principle in Hölder domains
- A short proof of boundary Harnack principle
- On the boundary point principle for divergence-type equations
- Green's function for second order elliptic equations in non-divergence form
- A new boundary Harnack principle (equations with right hand side)
- On ratios of harmonic functions
- On C1, C2, and weak type-(1,1) estimates for linear elliptic operators
- On conormal and oblique derivative problem for elliptic equations with Dini mean oscillation coefficients
- The local regularity of solutions of degenerate elliptic equations
- The Boundary Harnack Principle for Non-Divergence form Elliptic Operators
- Liouville type theorems and regularity of solutions to degenerate or singular problems part I: even solutions
- The normal derivative lemma and surrounding issues
- An Extension Problem Related to the Fractional Laplacian
- A boundary harnack principle for lipschitz domains and the principle of positive singularities
- On parabolic and elliptic equations with singular or degenerate coefficients
- Higher order boundary Harnack principle via degenerate equations
- On higher order boundary Harnack and analyticity of free boundaries
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