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A new approach in studying one parameter nonlinear eigenvalue problems with constraints

✍ Scribed by Dumitru Motreanu

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 272 KB
Volume: 60
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2004.04.016

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✦ Synopsis

The paper presents a new approach for obtaining existence and location of solutions to nonlinear eigenvalue problems depending on a parameter and subject to constraints. The location of eigensolutions and subsequent parameters is achieved by means of the graph of the derivative of a function used also to compensate the lack of coercivity. The applications concern one parameter families of semilinear elliptic eigenvalue problems with Dirichlet boundary conditions for which various qualitative properties of the solution sets are established.

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