Monotonicity results for quasilinear fractional systems in epigraphs
Phuong Le
University of Economics and Law, Ho Chi Minh City, Vietnam
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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