On Some Nonlocal Elliptic Systems with Gradient Source Terms
نویسندگان
چکیده
In this work, we investigate the existence and nonexistence of nonnegative solutions to a class nonlocal elliptic systems set in bounded open subset , where gradients unknowns act as source terms (see $(S)$ below). Our approach can be also used treat other nonlinear with different structures. This work extends previous results obtained local case by fourth author his coworkers, points significant differences between cases.
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2022
ISSN: ['1572-9036', '0167-8019']
DOI: https://doi.org/10.1007/s10440-022-00528-4