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In this article, we study nonexistence, radial symmetry, and monotonicity of the positive solutions for a class of integral systems with weights.
As far as the authors know, our three solutions theorem (Theorem 1.1 in Section 2) is new and first for singular p-Laplacian systems with weights of A ∩ B class.
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However, a more recent analysis, which included additional weights from Lothal, suggests a rather different system, with weights belonging to two series.
A per capita funding system with "weights" in the education system should be introduced.
The idea, is motivated by the immersion techniques and auxiliary dynamics generation, and consists in the transformation of the TS system with state dependent weighting functions in a new TS system with weighting functions depending only on the measured variables.
The guiding principles are the immersion techniques and auxiliary dynamics generation, allowing to immerge a given TS system with unmeasured state dependent weighting functions into a larger TS system with weighting functions depending only on measured variables.
We have compared the performance of the proposed method with the baseline techniques such as bimodal systems with equal weighting, optimal integration weight estimation scheme without ancillary measures [21] and integration weight estimation using reliability measures [20, 22].
In this paper, we consider p-Laplacian systems with singular weights.
We obtain the existence of a nontrivial solution for a class of subcritical elliptic systems with indefinite weights in.
When we consider nonlocal differential systems with indefinite weights, another difficulty is to prove (T: Kto K); for detail to see the proof of Lemma 2.4.
This is probably the main reason that there is almost no paper studying the existence of positive solutions for the class of second-order nonlocal differential systems with indefinite weights and multiple parameters.
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