Year: 2025
Type: article
Abstract: We consider nonlinear elliptic equations of the [Formula: see text]-Laplacian type with lower order terms which involve nonnegative potentials satisfying a reverse Hölder-type condition. Then we obtain interior and boundary [Formula: see text] estimates for the gradient of weak solutions and the lower order terms, independently, under sharp regularity conditions on the coefficients and the boundaries. In particular, the proof in this paper does not employ Fefferman–Phong-type inequalities which are essential tools in the linear cases in [P. Auscher and B. Ben Ali, Maximal inequalities and Riesz transform estimates on [Formula: see text] spaces for Schrödinger operators with nonnegative potentials, Ann. Inst. Fourier (Grenoble) 57(6) (2007) 1975–2013; Z. Shen, On the Neumann problem for Schrödinger operators in Lipschitz domains, Indiana Univ. Math. J. 43(1) (1994) 143–176].
Authors: Mikyoung Lee, Jihoon Ok
Institutions: Pusan National University, Sogang University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4409489721