Existence of solution for some quasi-homogenous and quasi-elliptic Nonlinear Eigenvalue Problems

Abstract

The existence of solutions for a non linear eigenvalue problems is well studied and proved for n even. In this article we will study the case of odd dimension n>1 for the family of quasi-homogeneous and quasi-elliptic operators and we will give some examples for the case n=3. We study the conditions for which we can prove the existence of non trivial solution for each case.

Keywords

• Nonlinear eigenvalue problems
• spectra
• trace
• quasi-elliptic operators