C0,α partial regularity result for elliptic systems with discontinuous coefficients and Orlicz growth
Journal of Mathematical Analysis and Applications, ISSN: 0022-247X, Vol: 530, Issue: 1, Page: 127628
2024
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Article Description
This paper is devoted to the study of C0,α -regularity for weak solutions to elliptic systems in divergence form. The model of our interest is −div(μ(x)A(x,Du))=B(x,Du), where the coefficient μ is discontinuous and x∈Ω, with Ω a bounded open subset of Rn. In particular, we assume the matrix A satisfies a G growth condition in Orlicz spaces, and the inhomogeneity B satisfies a controllable, or a critical, growth.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0022247X23006315; http://dx.doi.org/10.1016/j.jmaa.2023.127628; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85166628042&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0022247X23006315; https://dx.doi.org/10.1016/j.jmaa.2023.127628
Elsevier BV
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