Isolated Singularities of Solutions of Quasilinear Anisotropic Elliptic Equations

DOI10.1515/ans-2006-0407zbMath1154.35349OpenAlexW2510525008MaRDI QIDQ3427619

Igor I. Skrypnik, Yuliya V. Namlyeyeva, Andrey E. Shishkov

Publication date: 20 March 2007

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2006-0407

zbMATH Keywords

pointwise estimatesremovable isolated singularityDegenerate quasilinear anisotropic elliptic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fundamental solutions to PDEs (35A08) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Analyticity in context of PDEs (35A20) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (14)

A pointwise estimate of the solution to the \(p\)-Laplace evolution equation ⋮ Removable isolated singularities for solutions of anisotropic porous medium equation ⋮ Removable singularities for anisotropic elliptic equations ⋮ Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations ⋮ Removability of isolated singularities for anisotropic elliptic equations with gradient absorption ⋮ On the removability of a singularity for minimizers of an integral functional ⋮ On the removability of singularity for solutions of nonlinear elliptic equations with nonstandard growth ⋮ The unique solvability of a problem without initial conditions for linear and nonlinear elliptic-parabolic equations ⋮ Keller-Osserman a priori estimates and the removability result for the anisotropic porous medium equation with absorption term ⋮ The blow-up of critical anisotropic equations with critical directions ⋮ On the solvability of the Cauchy problem with growing initial data for a class of anisotropic parabolic equations ⋮ Removability of singularity for an anisotropic elliptic equation of second order with nonstandard growth ⋮ Removability of isolated singularities for anisotropic degenerate elliptic equation of second order ⋮ Keller-Osserman a priori estimates and the Harnack inequality for quasilinear elliptic and parabolic equations with absorption term

Cites Work

• Removable singularities of solutions of elliptic equations

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