×

Some existence, uniqueness and stability results for a class of semilinear degenerate elliptic systems. (English) Zbl 0552.35031

Existence, uniqueness and stability properties for solutions to certain classes of systems of two second-order elliptic equations which can degenerate on solutions are investigated. Stability is understood as relative to the associated parabolic problem. The ”diagonal differential part” is considered in most cases. The technique of lower-upper solutions of elliptic operators is used for proving existence theorems.
Reviewer: N.A.Lar’kin

MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B35 Stability in context of PDEs
35J70 Degenerate elliptic equations
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
PDFBibTeX XMLCite