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Zbl 1157.35077
Zographopoulos, Nikolaos B.
On the principal eigenvalue of degenerate quasilinear elliptic systems. (English)
[J] Math. Nachr. 281, No. 9, 1351-1365 (2008). ISSN 0025-584X; ISSN 1522-2616/e

Some properties of the principle eigenvalue of a degenerate quasilinear system are studied in the paper. It is proved that this eigenvalue is simple, unique up to positive eigenfunctions and isolated. The regularity of corresponding eigenfunctions is established under certain restrictions on the given data. The extension of the main result to unbounded domains is also discussed.
[Stepan Agop Tersian (Rousse)]

MSC 2000:: *35P30 Nonlinear eigenvalue problems for PD operators
35J70 Elliptic equations of degenerate type
35J50 Systems of elliptic equations, variational methods

Keywords: degenerate equations; quasilinear elliptic systems

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