Singular perturbation method for inhomogeneous nonlinear free boundary problems

DOI10.1007/s00526-013-0620-xzbMath1290.35104OpenAlexW1984097811MaRDI QIDQ2445473

Lihe Wang, Diego R. Moreira

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1007/s00526-013-0620-x

zbMATH Keywords

Lipschitz regularitysingularly perturbed problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)

Related Items (8)

An inhomogeneous singular perturbation problem for the \(p(x)\)-Laplacian ⋮ Inhomogeneous minimization problems for the \(p(x)\)-Laplacian ⋮ Fully nonlinear singularly perturbed models with non-homogeneous degeneracy ⋮ Uniform Lipschitz estimates up to the boundary for singular perturbation problem for some nonlinear elliptic PDEs with unbounded ingredients ⋮ Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form ⋮ Free boundary theory for non-homogeneous fully non-linear equations with unbounded ingredients and quadratic growth in the gradient ⋮ Cavity type problems ruled by infinity Laplacian operator ⋮ Hausdorff measure estimates and Lipschitz regularity in inhomogeneous nonlinear free boundary problems

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