arXiv subjects

Rojbin Laleoglu

Publications and source records attributed to Rojbin Laleoglu.

2 recordsLinked to original sources

arXiv2012

Local Hölder continuity for some doubly nonlinear parabolic equations in measure spaces

We establish the local Hölder continuity for the nonnegative weak solutions of certain doubly nonlinear parabolic equations possessing a singularity in the time derivative part and a degeneracy in the principal part. The proof involves the method of intrinsic scaling and the setting is a measure space equipped with a doubling non-trivial Borel measure supporting a Poincaré inequality.

math.AP↗

arXiv2011

Hölder continuity for Trudinger's equation in measure spaces

We complete the study of the regularity for Trudinger's equation by proving that weak solutions are Hölder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling.

math.AP↗