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- Title
PROPERTIES OF SCALES OF KATO CLASSES, BESSEL POTENTIALS, MORREY SPACES, AND A WEAK HARNACK INEQUALITY FOR NON-NEGATIVE SOLUTIONS OF ELLIPTIC EQUATIONS.
- Authors
CASTILLO, RENÉ ERLÍN; RAMOS-FERNÁNDEZ, JULIO C.; ROJAS, EDIXON M.
- Abstract
In this article, we study some basic properties of the scale of Kato classes related with the Bessel kernel, Lorentz spaces, and Morrey spaces. Also we characterize the weak Harnack inequality for non-negative solutions of elliptic equations in terms of the Bessel kernel and the Kato classes of order α.
- Subjects
BESSEL functions; SET theory; MATHEMATICAL inequalities; NUMERICAL solutions to elliptic equations; KERNEL (Mathematics)
- Publication
Electronic Journal of Differential Equations, 2017, Vol 2017, Issue 87-107, p1
- ISSN
1550-6150
- Publication type
Article