Symmetrization for Mixed Operators

Abstract

In this paper, we prove Talenti's comparison theorem for mixed local/nonlocal elliptic operators and derive the Faber–Krahn inequality for the first eigenvalue of the Dirichlet mixed local/nonlocal problem. Our findings are relevant to the fractional p&q–Laplacian operator.

Keywords

• 35r11
• 47a75
• talenti's comparison
• faber–krahn' mixed operators