Isolated Singularities of Solutions of Quasilinear Anisotropic Elliptic Equations

We consider a wide class of degenerate quasilinear second order elliptic equations with model representative , whose solutions have singularity at a point. There are established sharp point-wise conditions for removable isolated singularity of solutions of such equations. For solutions with non-remo...

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Bibliographic Details
Published inAdvanced nonlinear studies Vol. 6; no. 4; pp. 617 - 641
Main Authors Namlyeyeva, Yuliya V., Shishkov, Andrey E., Skrypnik, Igor I.
Format Journal Article
LanguageEnglish
Published Advanced Nonlinear Studies, Inc 01.11.2006
Subjects
Degenerate quasilinear anisotropic elliptic equation
point-wise estimates
removable isolated singularity
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ISSN1536-1365
2169-0375
DOI10.1515/ans-2006-0407

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Summary:We consider a wide class of degenerate quasilinear second order elliptic equations with model representative , whose solutions have singularity at a point. There are established sharp point-wise conditions for removable isolated singularity of solutions of such equations. For solutions with non-removable point singularity (source type or fundamental solution), precise upper and lower estimates near the singularity point are obtained.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2006-0407