Sobolev-type regularity results are proved for solutions to a class of second-order elliptic equations with a singular or degenerate weight, under non-homogeneous Neumann conditions. As an application a Pohozaev-type identity for weak solutions is derived.
Felli, V., Siclari, G. (2022). Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI, 33(3), 553-574 [10.4171/RLM/980].
Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems
Felli, Veronica;Siclari, Giovanni
2022
Abstract
Sobolev-type regularity results are proved for solutions to a class of second-order elliptic equations with a singular or degenerate weight, under non-homogeneous Neumann conditions. As an application a Pohozaev-type identity for weak solutions is derived.
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