Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities

Автор(и)

  • Kamel Saoudi Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 31441, Dammam, Saudi Arabia
  • Debajyoti Choudhuri Department of Mathematics, National Institute of Technology Rourkela, India
  • Mouna Kratou Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 31441, Dammam, Saudi Arabia

DOI:

https://doi.org/10.15407/mag18.04.514

Ключові слова:

многовид Негарi, категорiя Люстерника–Шнiрельмана, сингулярнiсть, множиннiсть

Анотація

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

Посилання

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Saoudi, K.; Choudhuri, D.; Kratou, M. Multiplicity of Solutions to a p-q Fractional Laplacian System with Concave Singular Nonlinearities. Журн. мат. фіз. анал. геом. 2022, 18, 514-545.

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