The transmission problem for quasi-linear elliptic second order equations in a conical domain. I, II

DOI10.1016/j.na.2009.03.090zbMath1178.35171OpenAlexW2094250119MaRDI QIDQ838120

Mikhail Borsuk

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.090

zbMATH Keywords

interface problemconical pointelliptic quasi-linear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

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Cites Work

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• Boundary-contact problems for domains with edge singularities
• On the regularity of weak solutions of quasi-linear elliptic transmission problems on polyhedral domains
• Nonlinear second-order elliptic equations with jump discontinuous coefficients. I: Quasilinear equations
• The behavior of weak solutions to the boundary value problems for elliptic quasilinear equations with triple degeneration in a neighborhood of a boundary edge.
• Boundary-contact problems for domains with conical singularities
• Regularity of the Solution of Some Unilateral Boundary Value Problems in Polygonal and Polyhedral Domains
• Boundary regularity for solutions of degenerate elliptic equations
• General interface problems—II

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