Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side
نویسندگان
چکیده
We show that bounded solutions of the quasilinear elliptic equation \(\Delta_{p(x)} u=g+div(\textbf{F})\) are locally Hölder continuous provided functions \(g\) and \(\textbf{F}\) in suitable Lebesgue spaces.
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ژورنال
عنوان ژورنال: Glasnik Matematicki
سال: 2022
ISSN: ['1846-7989', '0017-095X']
DOI: https://doi.org/10.3336/gm.57.1.03