We prove that the Robin eigenfunctions on convex domains of Rn are H2-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.; Provenzano, L.. - In: JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1072-3374. - 298:2(2026), pp. 225-233. [10.1007/s10958-025-08035-1]
H2-REGULARITY ON CONVEX DOMAINS FOR ROBIN EIGENFUNCTIONS WITH PARAMETER OF ARBITRARY SIGN
Lamberti P. D.;Provenzano L.
2026
Abstract
We prove that the Robin eigenfunctions on convex domains of Rn are H2-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.File allegati a questo prodotto
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