In this paper we derive the Pohozaev identity for quasilinear equations -div(B′(H(∇u))∇H(∇u))=g(x,u)inΩ,(E)involving the anisotropic Finsler operator - div (B′(H(∇ u)) ∇ H(∇ u)). In particular, by means of fine regularity results on the vectorial field B′(H(∇ u)) ∇ H(∇ u) , we prove the identity for weak solutions and in a direct way.
Pohozaev identity for Finsler anisotropic problems
Montoro L.;Sciunzi B.
2023-01-01
Abstract
In this paper we derive the Pohozaev identity for quasilinear equations -div(B′(H(∇u))∇H(∇u))=g(x,u)inΩ,(E)involving the anisotropic Finsler operator - div (B′(H(∇ u)) ∇ H(∇ u)). In particular, by means of fine regularity results on the vectorial field B′(H(∇ u)) ∇ H(∇ u) , we prove the identity for weak solutions and in a direct way.File in questo prodotto:
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