Upper and Lower Bounds for the First Robin Eigenvalue of Nonlinear Elliptic Operators

Key Points

• The aim is to establish inequalities related to the first Robin eigenvalue of nonlinear elliptic operators.
• Proved inequalities for the first Robin eigenvalue
• Analyzed the p-laplacian operator
• Derived upper bound in relation to the first Dirichlet eigenvalue
• Established upper bound for the first Robin eigenvalue
• Demonstrated relationship between Robin and Dirichlet eigenvalues
• Highlighted significance of the p-laplacian in deriving bounds