This Note deals with a nonlinear eigenvalue problem involving the polyharmonic operator on a ball in R^n. The main result of this Note establishes the existence of a continuous spectrum of eigenvalues such that the least eigenvalue is isolated. The main difficulty arises in application of the decomposition method of Moreau and the comparison principle of Boggio.
Remarks of eigenvalue problems for nonlinear polyharmonic equations
PUCCI, Patrizia;
2010
Abstract
This Note deals with a nonlinear eigenvalue problem involving the polyharmonic operator on a ball in R^n. The main result of this Note establishes the existence of a continuous spectrum of eigenvalues such that the least eigenvalue is isolated. The main difficulty arises in application of the decomposition method of Moreau and the comparison principle of Boggio.File in questo prodotto:
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