The Dirichlet problem in a cone for second order elliptic quasi-linear equation with the \(p\)-Laplacian

DOI10.1016/j.jmaa.2016.12.064zbMath1375.35221OpenAlexW2567504535MaRDI QIDQ508988

Mikhail Borsuk, Yury A. Alkhutov

Publication date: 8 February 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.12.064

zbMATH Keywords

quasilinear elliptic equations\(p\)-Laplacianconical points

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Global bifurcation for N-dimensional p-Laplacian problem and its applications ⋮ Boundary-value problems for singular \(p\)- and \(p(x)\)- Laplacian equations in a domain with conical point on the boundary ⋮ Boundary Value Problems for the Singular p- and p(x)-Laplacian Equations in a Cone ⋮ Sufficient conditions for convergence of solutions of damped elliptic equations

Cites Work

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• 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
• Asymptotic behavior of the solutions of elliptic equations of the second order near a boundary. II
• On existence and uniqueness classes for the Cauchy problem for parabolic equations of the \(p\)-Laplace type
• Linear and quasilinear elliptic equations
• On The Dirichletproblem for Quasilinear Equations
• ON THE BEST HÖLDER EXPONENTS FOR GENERALIZED SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION
• On quasilinear elliptic equations in domains with conical boundary points.

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