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arXiv · 2305.09609

On nonlocal Dirichlet problems with oscillating term

Boštjan Gabrovšek·Giovanni Molica Bisci·Dušan D. Repovš
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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.

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Boštjan Gabrovšek, Giovanni Molica Bisci, Dušan D. Repovš. 2023-05-16. On nonlocal Dirichlet problems with oscillating term. https://doi.org/10.3934/dcdss.2022130

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