Positive solutions of fractional p-Laplace and singular systems
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Date
2022
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Publisher
Université de Larbi Ben M'hidi- Oum El Bouaghi
Abstract
The main objective of this thesis is to detail the results presented in the papers [1] and [14]. More precisely, we study singular systems involving nonlinear and non-local operators. First, we will show the non-existence of positive classical solutions. Next, Schauder's Fixed Point Theorem guaranteed the existence of a positive weak solutions pair in the suitable conical shell, and then H?lder regularity results. Finally, we prove the uniqueness by applying a well-known Krasnoselski?i's argument. We recall some results in the paper [1] there that are used in the above results.
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Keywords
Uniqueness, Quasilinear singular systems, Fractional p-Laplacian operator, Comparison principles