Regularity for \(C^{1, \alpha}\) interface transmission problems

DOI10.1007/s00205-021-01611-0zbMath1467.35169arXiv2004.07322OpenAlexW3016953867MaRDI QIDQ2662027

María Soria-Carro, Luis A. Caffarelli, Pablo Raúl Stinga

Publication date: 8 April 2021

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

Full work available at URL: https://arxiv.org/abs/2004.07322

zbMATH Keywords

existenceuniquenessharmonic functionstransmission problemoptimal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (9)

Gradient estimates for divergence form parabolic systems from composite materials ⋮ Fully nonlinear free transmission problems with nonhomogeneous degeneracies ⋮ Fully nonlinear free transmission problems ⋮ Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem ⋮ BMO-regularity for a degenerate transmission problem ⋮ Regularity of viscosity solutions to fully nonlinear elliptic transmission problems ⋮ Regularity of a transmission problem and periodic homogenization ⋮ Optimal regularity for variational solutions of free transmission problems ⋮ Existence of solutions to a fully nonlinear free transmission problem

Cites Work

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• Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Linear and quasilinear elliptic equations
• Sets of Finite Perimeter and Geometric Variational Problems
• A sharp regularity result of solutions of a transmission problem
• Elliptic second order equations
• Estimates for elliptic systems from composite material
• Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
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