On the boundary behaviour, including second order effects, of solutions to singular elliptic problems

DOI10.1007/s10114-005-0680-8zbMath1163.35391OpenAlexW2057794087MaRDI QIDQ884921

Fabrizio Cuccu, Giovanni Porru, Shiferaw Berhanu

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0680-8

zbMATH Keywords

elliptic problemsboundary behavioursingular equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (8)

The boundary behavior of the unique solution to a singular Dirichlet problem ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ Second order expansion for the solution to a singular Dirichlet problem ⋮ The second expansion of the unique vanishing at infinity solution to a singular elliptic equation ⋮ The second expansion of the solution for a singular elliptic boundary value problem ⋮ Problems for elliptic singular equations with a gradient term ⋮ Existence and boundary behavior of solutions to \(p\)-Laplacian elliptic equations ⋮ Asymptotic behavior for the unique positive solution to a singular elliptic problem

Cites Work

• Unnamed Item
• Qualitative properties of solutions to elliptic singular problems
• On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems.
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Elliptic Partial Differential Equations of Second Order
• On a dirichlet problem with a singular nonlinearity
• Sign-changing solutions to singular second-order boundary value problems.

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