A singular perturbation free boundary problem for elliptic equations in divergence form

DOI10.1007/s00526-006-0060-yzbMath1344.35173OpenAlexW1991018354MaRDI QIDQ878172

Diego R. Moreira, Eduardo V. Teixeira

Publication date: 26 April 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0060-y

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35)

Related Items (9)

Singular perturbation problem in boundary/fractional combustion ⋮ Fully nonlinear singularly perturbed models with non-homogeneous degeneracy ⋮ Existence and regularity properties of non-isotropic singular elliptic equations ⋮ Fully nonlinear singularly perturbed equations and asymptotic free boundaries ⋮ A variational treatment for general elliptic equations of the flame propagation type: regularity of the free boundary ⋮ Least supersolution approach to regularizing free boundary problems ⋮ Hausdorff measure estimates and Lipschitz regularity in inhomogeneous nonlinear free boundary problems ⋮ Free transmission problems ⋮ Cavity problems in discontinuous media

Cites Work

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• A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
• Regularity of the free boundary in two-phase problems for linear elliptic operators
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz

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