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Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities

✍ Scribed by Hua Chen; Xiaochun Liu; Yawei Wei

Publisher
Springer
Year
2011
Tongue
English
Weight
289 KB
Volume
43
Category
Article
ISSN
0944-2669

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## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two‐dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.