We prove that the Robin eigenfunctions on convex domains of Rn are H 2-regular regardless of the sign of the parameter involved in the boundary conditions. The proof is an adaptation of a classical argument used in the case of positive parameters combined with a Rellich-Pohozaev identity.
H2-REGULARITY ON CONVEX DOMAINS FOR ROBIN EIGENFUNCTIONS WITH PARAMETER OF ARBITRARY SIGN
Lamberti P. D.;
2025
Abstract
We prove that the Robin eigenfunctions on convex domains of Rn are H 2-regular regardless of the sign of the parameter involved in the boundary conditions. The proof is an adaptation of a classical argument used in the case of positive parameters combined with a Rellich-Pohozaev identity.
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