Behaviour of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighbourhood of a boundary conical point

DOI10.1080/17476933.2014.944867zbMath1317.35029OpenAlexW1978759480MaRDI QIDQ4982019

Mariusz Bodzioch, Mikhail Borsuk

Publication date: 23 March 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2014.944867

zbMATH Keywords

elliptic equationsconical pointsoblique problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20) Strong solutions to PDEs (35D35)

Related Items (max. 100)

Oblique derivative problem in a plane sector for strong quasi-linear elliptic second-order equation with perturbed \(p(x)\)-Laplacian ⋮ Comments on behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities ⋮ Boundary-value problems for singular \(p\)- and \(p(x)\)- Laplacian equations in a domain with conical point on the boundary ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The nonlinear oblique derivative problem for quasilinear elliptic equations
• On the degenerate oblique derivative problem for elliptic second-order equation in a domain with boundary conical point
• Pointwise estimates for oblique derivative problems in nonsmooth domains

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