Hausdorff measure estimates and Lipschitz regularity in inhomogeneous nonlinear free boundary problems

DOI10.1007/s00205-014-0739-8zbMath1327.35456OpenAlexW2044042759MaRDI QIDQ741595

Lihe Wang, Diego R. Moreira

Publication date: 12 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00205-014-0739-8

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Free boundary problems for PDEs (35R35) Hausdorff and packing measures (28A78) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05) PDEs with measure (35R06)

Related Items (6)

Inhomogeneous minimization problems for the \(p(x)\)-Laplacian ⋮ Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients ⋮ Singular perturbation method for inhomogeneous nonlinear free boundary problems ⋮ On the Lipschitz regularity and asymptotic behaviour of the free boundary for classes of minima of inhomogeneous two-phase alt-caffarelli functionals in Orlicz spaces ⋮ Cavity type problems ruled by infinity Laplacian operator ⋮ Singular perturbation by bending for an adhesive obstacle problem

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