Publication date: 30 June 2022
Volume: Vol 57
Issue: Svezak 1
Pages: 35-47
DOI: https://doi.org/10.3336/gm.57.1.03
Izvorni znanstveni članak
https://doi.org/10.3336/gm.57.1.03
Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side
Abdeslem Lyaghfouri
orcid.org/0000-0002-0957-9675
; Department of Mathematical Sciences, United Arab Emirates University, Al Ain, Abu Dhabi, UAE
We show that bounded solutions of the quasilinear elliptic equation
\(\Delta_{p(x)} u=g+div(\textbf{F})\) are locally Hölder continuous
provided that the functions \(g\) and \(\textbf{F}\) are in suitable
Lebesgue spaces.
\(p(x)\)-Laplacian, Hölder continuity
279798
28.6.2022.
Posjeta: 353 *