Boundary Value Problems for the Singular p- and p(x)-Laplacian Equations in a Cone

DOI10.1007/978-3-319-72640-3_1zbMath1405.35062OpenAlexW2791104996MaRDI QIDQ4612244

Mikhail Borsuk, Sebastian Jankowski, Yury A. Alkhutov

Publication date: 22 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-72640-3_1

zbMATH Keywords

degenerate equations\(p\)-Laplacian typeangular or conical boundary point of the bounded conebvp with strong nonlinear right partsharp estimate for week solution

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Boundary value problems for nonlinear higher-order PDEs (35G30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• The Dirichlet problem in a cone for second order elliptic quasi-linear equation with the \(p\)-Laplacian
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point
• On Lavrentiev's phenomenon
• Linear and quasilinear elliptic equations
• Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
• On The Dirichletproblem for Quasilinear Equations
• On quasilinear elliptic equations in domains with conical boundary points.
• A class of De Giorgi type and Hölder continuity
• The Robin problem for singular p-Laplacian equation in a cone
• Continuity at boundary points of solutions of quasilinear elliptic equations with a non-standard growth condition
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