Stroffolini, Bianca2021-05-172021-05-172001-01-02Stroffolini, B. (2001). A stability result for p-harmonic systems with discontinuous coefficients. <i>Electronic Journal of Differential Equations, 2004</i>(02), pp. 1-7.1072-6691https://hdl.handle.net/10877/13570The present paper is concerned with p-harmonic systems div(⟨A(x) Du(x), Du(x)⟩ p-2/2 A(x) Du(x)) = div(√A(x) F(x)), where A(x) is a positive definite matrix whose entries have bounded mean oscillation (BMO), p is a real number greater than 1 and F ∈ > r/p-1 is a given matrix field. We find a-priori estimates for a very weak solution of class W1,r, provided r is close to 2, depending on the BMO norm of √A, and p close to r. This result is achieved using the corresponding existence and uniqueness result for linear systems with BMO coefficients [St], combined with nonlinear commutators.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalBounded mean oscillationLinear and nonlinear commutatorsHodge decompositionArticle