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- Title
Positivity of nonnegative solutions to a system of fractional Laplacian problems in a ball.
- Authors
Hollifield, Elliott
- Abstract
We consider a cooperative system of equations involving the fractional Laplacian operator with zero Dirichlet external condition on a ball. We prove that nonnegative solutions of such problems, with semipositone nonlinearities, are positive and hence radially symmetric. We use the method of moving planes to establish our result.
- Subjects
LAPLACIAN operator; OPTIMISM; EQUATIONS
- Publication
Proceedings of the American Mathematical Society, Series B, 2024, Vol 11, p499
- ISSN
2330-1511
- Publication type
Article
- DOI
10.1090/bproc/240