An Elliptic Problem Arising from the Unsteady Transonic Small Disturbance Equation

Authors: Canic S.¹; Keyfitz B.L.²

Source: Journal of Differential Equations, Volume 125, Number 2, March 1996 , pp. 548-574(27)

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Abstract:

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.

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics, Iowa State University, Ames, Iowa, 50011 2: Department of Mathematics, University of Houston, Houston, Texas, 77004

Publication date: 1996-03-01