Nehari manifold and fibering map approach for fractional p(.)-Laplacian Schrödinger system

Hamza El-Houari ^[1] ; Lalla Saadia Chadli ^[1] ; Moussa Hicham ^[1]
1. [1] Université Sultan Moulay Slimane
  
  Université Sultan Moulay Slimane
  
  Alkhalfia, Marruecos
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 81, Nº. 4, 2024, págs. 729-751
Idioma: inglés
DOI: 10.1007/s40324-023-00343-3
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Resumen
- In this paper we extended the results of Biswas & Tiwari named Nehari manifold approach for fractional p(·)-Laplacian system involving concave-convex nonlinearities (2020). We study the existence and multiplicity of solutions to the fractional Schrödinger problem system with Dirichlet boundary condition by using the Nehari manifold approach. The nonlinearities is not satisfied Ambrosetti–Rabinowitz condition, monotonocity or convexity conditions, and can be discontinuous in nature.