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An Elliptic Problem Arising from the Unsteady Transonic Small Disturbance Equation

✍ Scribed by Sunčica Čanić; Barbara Lee Keyfitz

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
912 KB
Volume
125
Category
Article
ISSN
0022-0396

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✦ Synopsis

We prove a theorem on existence of a weak solution of the Dirichlet problem for a quasilinear elliptic equation with a degeneracy on one part of the boundary. The degeneracy is of a type (``Keldysh type'') associated with singular behavior blow-up of a derivative at the boundary. We define an associated operator which is continuous, pseudo-monotone and coercive and show that a weak solution displaying singular behavior at the boundary exists.

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