Generalized quasilinearization and  semilinear degenerate elliptic problems

V. Lakshmikantham; S. Leela

doi:10.3934/dcds.2001.7.801

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2001, Volume 7, Issue 4: 801-808. Doi: 10.3934/dcds.2001.7.801

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Generalized quasilinearization and semilinear degenerate elliptic problems

V. Lakshmikantham^1, and
S. Leela^2,

1.
Department of Mathematics, Florida Institute of Technology, Melbourne, FL 32901
2.
Department of Mathematics, SUNY at Geneseo, Geneseo, NY 14454

Received: September 30, 2000

Published: September 2001

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Abstract

The method of generalized quasilinearization is extended to semilinear degenerate elliptic boundary value problems.

Keywords:

Semilinear degenerate elliptic problems,
generalized quasilinearization.

Mathematics Subject Classification: 35J20, 35J65, 35J70.

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