Article ID Journal Published Year Pages File Type
10427351 Nonlinear Analysis: Theory, Methods & Applications 2005 21 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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