We investigate the nonexistence of positive global solutions to a weakly coupled system of k second-order semilinear parabolic equations with singular potentials in a cylindrical domain, whose spatial base is the exterior of a compact set and k is an arbitrary positive integer. Depending on the weight, the degree of nonlinearity, the singularity coefficient, and the spatial dimension, we establish a Fujita-type nonexistence result. Using the test function method, we derive sufficient conditions that ensure the nonexistence of positive global solutions.
Modeling scientific and engineering problems requires the aggregation of variables. Ordered Functional Weighted Averaging (OFWA) operators were introduced to provide greater flexibility and versatility on a wide range of scenarios, allowing multiple criteria to be taken into account across different values, than other existing aggregation operators. Although the whole set of OFWA operators forms a complete lattice with the usual pointwise ordering, its complexity does not allow a trivial mechanism to compare them. This paper studies how greater or lesser OFWA operators can be obtained and we shows that significant well-known operators, such as the Choquet integral, are particular cases of the OFWA operator.
