The stability of the solutions of an equation related to the \(p\)-Laplacian with degeneracy on the boundary

DOI10.1186/s13661-016-0684-6zbMath1355.35122OpenAlexW2529173311WikidataQ59465989 ScholiaQ59465989MaRDI QIDQ330234

Hua-Shui Zhan

Publication date: 25 October 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0684-6

zbMATH Keywords

stability\(p\)-Laplacianboundary degeneracy

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (14)

On the evolutionary \(p\)-Laplacian equation with a partial boundary value condition ⋮ The stability of parabolic problems with nonstandard \(p(x,t)\)-growth ⋮ On a viscous fourth-order parabolic equation with boundary degeneracy ⋮ A new kind of weak solution of non-Newtonian fluid equation ⋮ Study of weak solutions to a nonlinear fourth‐order parabolic equation with boundary degeneracy ⋮ Existence of solutions to a doubly degenerate fourth-order partial differential equation with a degenerate diffusion ⋮ On a double degenerate fourth-order parabolic equation ⋮ Solutions of evolutionary \(p(x)\)-Laplacian equation based on the weighted variable exponent space ⋮ Infiltration equation with degeneracy on the boundary ⋮ Existence of solutions to a doubly degenerate fourth-order parabolic equation ⋮ The stability of the solutions of an anisotropic diffusion equation ⋮ A new method to deal with the stability of the weak solutions for a nonlinear parabolic equation ⋮ The partial boundary value condition for a polytropic filtration equation with variable exponents ⋮ Uniqueness and stability of solutions without the boundary condition

Cites Work

• On a parabolic equation related to the \(p\)-Laplacian
• The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation
• Nonuniqueness and multi-bump solutions in parabolic problems with the \(p\)-Laplacian
• Properties of the boundary flux of a singular diffusion process
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
• Unnamed Item

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