Eigenvalue problems in fractional Orlicz spaces with no doubling condition

ARIEL SALORT; HERNÁN VIVAS

El encuento se realizó en forma virtual

Congreso; Virtual Meetin in PDEs and Applicarions; 2020

IMAS

Eigenvalue problems are a classical subject in PDEs since the earliesttimes, both because of their intrinsic mathematical interest and theirmany applications in other areas of science and engineering. Morerecently, a lot of interest has been given to the eigenvalues offractional (or integro-differential) operators.In this talk, we will address the eigenvalue problem forintegro-differential operators with ``rapidly growing coefficients'';more precisely, we study eigenvalues of the g-Laplacian operator infractional order Orlicz-Sobolev spaces, where g = G' is the derivativeof a Young function. One of the main interests of our work is that we donot assume that neither G nor its conjugate satisfy the delta 2 (ordoubling) condition. We will discuss further properties of the spectrumas well as some applications.