REGULARITY IN ORLICZ SPACES FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF SCHRÖDINGER TYPE.

Autor: NGUYEN NGOC TRONG, NGUYEN THANH TUNG, TRAN TRI DUNG, LE XUAN TRUONG
Zdroj: Mathematical Inequalities & Applications; 2023, Vol. 26 Issue 3, p567-594, 28p
Abstrakt: In this paper, we generalize gradient estimates in Lebesgue spaces to Orlicz spaces for weak solutions of quasi-linear elliptic equations of Schrödinger type on a Reifenberg flat domain, under the condition that the coefficients are in John-Nirenberg space with small BMO semi-norms. We assume that the potential belongs to some certain reverse Hölder class. Our results improve the known results for such equations using a harmonic analysis-free technique. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index