Dal Passo, Roberta; de Mottoni, Piero Some existence, uniqueness and stability results for a class of semilinear degenerate elliptic systems. (English) Zbl 0552.35031 Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 203-231 (1984). 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 Cited in 3 ReviewsCited in 4 Documents 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) Keywords:semilinear degenerate elliptic systems; Existence; uniqueness; stability; lower-upper solutions PDFBibTeX XMLCite \textit{R. Dal Passo} and \textit{P. de Mottoni}, Boll. Unione Mat. Ital., VI. Ser., C, Anal. Funz. Appl. 3, 203--231 (1984; Zbl 0552.35031)