Manifolds with Density and the First Steklov Eigenvalue.

Autor: Batista, Márcio, Santos, José I.
Zdroj: Potential Analysis; Apr2024, Vol. 60 Issue 4, p1369-1382, 14p
Abstrakt: There are many interesting eigenvalue problems in a variety of settings; one of them is the well-known Steklov eigenvalue problem. In this work, we are interested in studying some Steklov eigenvalue problems for elliptic operators of second and fourth order using a well-known Reilly formula. Some upper and lower bounds for the first eigenvalue are obtained, and the rigidity case is carefully analyzed. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index