Monotonicity results for quasilinear fractional systems in epigraphs
Phuong Le
University of Economics and Law, Ho Chi Minh City, Vietnam
Abstract
We prove the monotonicity of positive solutions to the quasilinear fractional system
where is a coercive or non-coercive epigraph, such as the halfspace , and . By combining a new decay at infinity principle with the direct method of moving planes, we improve recent works in the literature even in the case of a single equation.
Cite this article
Phuong Le, Monotonicity results for quasilinear fractional systems in epigraphs. Z. Anal. Anwend. 41 (2022), no. 1/2, pp. 49–64
DOI 10.4171/ZAA/1693