On nonlocal fractional Laplacian problems with oscillating potentials (Q1799902)
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scientific article; zbMATH DE number 6958785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonlocal fractional Laplacian problems with oscillating potentials |
scientific article; zbMATH DE number 6958785 |
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On nonlocal fractional Laplacian problems with oscillating potentials (English)
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19 October 2018
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This paper deals with the study of a class of nonlocal fractional problems. A feature of this paper is the presence of a potential with oscillatory behaviour either near the origin or at infinity. The main result establishes a sufficient condition for the existence of infinitely many solutions. The proof combines variational and topological arguments.
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\(p\)-fractional Laplacian operator
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infinitely many solutions
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variational methods
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