We study the existence of W-0(1,1) (Omega) -solutions of nonlinear anisotropic problems whose simplest model is { -div (a(x) |del u|(p -2)del u) -div(|u|((r -1)q+1)|del u|(q -2)del u) = f in Omega, {u = 0 on partial derivative Omega. where Omega is abounded open subset of R-N(N > 2), 1 < q <= p < N , r > q -1/q and f is a function with poor summability.
W1,1 0 (Ω)−SOLUTIONS FOR A DEGENERATE DOUBLE PHASE TYPE OPERATOR IN SOME BORDERLINE CASES
D'Asero S.
2024-01-01
Abstract
We study the existence of W-0(1,1) (Omega) -solutions of nonlinear anisotropic problems whose simplest model is { -div (a(x) |del u|(p -2)del u) -div(|u|((r -1)q+1)|del u|(q -2)del u) = f in Omega, {u = 0 on partial derivative Omega. where Omega is abounded open subset of R-N(N > 2), 1 < q <= p < N , r > q -1/q and f is a function with poor summability.File in questo prodotto:
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