In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. Math. 113 (2000), 401–410), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term f has a suitable oscillating behaviour either at the origin or at infinity.

On nonlocal Dirichlet problems with oscillating term

Bisci, Giovanni Molica;
2023-01-01

Abstract

In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. Math. 113 (2000), 401–410), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term f has a suitable oscillating behaviour either at the origin or at infinity.
2023
Variational methods
p-fractional Laplacian operator
infinitely many solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12078/28491
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