The behavior of weak solutions to the boundary value problems for elliptic quasilinear equations with triple degeneration in a neighborhood of a boundary edge.

DOI10.1016/j.na.2003.09.012zbMath1100.35035OpenAlexW1979799375MaRDI QIDQ1427926

Mikhail Borsuk

Publication date: 14 March 2004

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.2003.09.012

zbMATH Keywords

Dirichlet problemedgesmixed problemNeumann problemdegenerate quasilinear elliptic equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (2)

The transmission problem for quasi-linear elliptic second order equations in a conical domain. I, II ⋮ The behaviour of weak solutions to the transmission problem for degenerate quasi-linear elliptic divergence second order equations in a domain with a boundary edge

Cites Work

• Elliptic partial differential equations of second order
• Degenerate elliptic operators diagonal systems and variational integrals
• \(L^ \infty\)-solutions for some nonlinear degenerate elliptic and parabolic equations
• Linear and quasilinear elliptic equations
• Boundary value problems for some degenerate-elliptic operators
• On The Dirichletproblem for Quasilinear Equations
• On quasilinear elliptic equations in domains with conical boundary points.
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