Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities
DOI:
https://doi.org/10.15407/mag18.04.514Анотація
У цiй роботi ми вивчаємо iснування множинних нетривiальних невiд’ємних слабких розв’язкiв сполученої системи елiптичних диференцiальних рiвнянь з частинними похiдними. Доведено iснування розв’язкiв на многовидi Негарi. Для доведення iснування щонайменше cat(Ω) +1 розв’язкiв використано категорiю Люстерника–Шнiрельмана, де Ω є обмеженою областю, в якiй розглянуто цю задачу.
Mathematical Subject Classification 2010: 35J35, 35J60
Ключові слова:
многовид Негарi, категорiя Люстерника–Шнiрельмана, сингулярнiсть, множиннiстьПосилання
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