Ground State Solutions for a Nonlocal System in Fractional Orlicz-Sobolev Spaces

Ground State Solutions for a Nonlocal System in Fractional Orlicz-Sobolev Spaces

We consider an elliptic system driven by the fractional a.-Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.

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Veröffentlicht in:International journal of differential equations 2022-05, Vol.2022, p.1-16
Hauptverfasser: El-Houari, Hamza, Moussa, Hicham, Chadli, Lalla Saâdia
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary conditions
Dirichlet problem
Ground state
Inequality
Operators (mathematics)
Phase transitions
Sobolev space
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Zusammenfassung:We consider an elliptic system driven by the fractional a.-Laplacian operator, with Dirichlet boundary conditions type. By using the Nehari manifold approach, we get a nontrivial ground state solution on fractional Orlicz–Sobolev spaces.
ISSN:1687-9643
1687-9651
DOI:10.1155/2022/3849217