A new boundary Harnack principle (equations with right hand side)

DOI10.1007/s00205-019-01415-3zbMath1433.35013arXiv1811.12908OpenAlexW2959714652WikidataQ127525256 ScholiaQ127525256MaRDI QIDQ2326462

Henrik Shahgholian, Mark G. Allen

Publication date: 7 October 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12908

zbMATH Keywords

Laplace operatorboundary Harnack principledivergence form elliptic equations

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

New boundary Harnack inequalities with right hand side ⋮ Liouville type theorems and regularity of solutions to degenerate or singular problems. II: Odd solutions ⋮ Regularity of free boundaries in obstacle problems ⋮ The normal derivative lemma and surrounding issues ⋮ Global bifurcation and highest waves on water of finite depth ⋮ On higher order boundary Harnack and analyticity of free boundaries ⋮ The inhomogeneous boundary Harnack principle for fully nonlinear and \(p\)-Laplace equations ⋮ Free boundary methods and non-scattering phenomena ⋮ On rotational waves of limit amplitude ⋮ Radial symmetry for an elliptic PDE with a free boundary

Cites Work

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• A note on higher regularity boundary Harnack inequality
• An unstable elliptic free boundary problem arising in solid combustion
• The obstacle problem revisited
• Elliptic partial differential equations of second order
• A theorem of real analysis and its application to free boundary problems
• When Does the Free Boundary Enter into Corner Points of the Fixed Boundary?

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