Eigenvalue Problems for Fractional p(x, y)-Laplacian Equations with Indefinite Weight
In this paper, we consider a class of eigenvalue problems for fractional p(x, y)-Laplacian equations with indefinite weight in fractional Sobolev space with variable exponent. Under some suitable conditions on the growth rates involved in the problem, we establish some results on the existence of a...
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| Published in | Taiwanese journal of mathematics Vol. 23; no. 5; pp. 1153 - 1173 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Mathematical Society of the Republic of China
01.10.2019
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| Online Access | Get full text |
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| Summary: | In this paper, we consider a class of eigenvalue problems for fractional p(x, y)-Laplacian equations with indefinite weight in fractional Sobolev space with variable exponent. Under some suitable conditions on the growth rates involved in the problem, we establish some results on the existence of a continuous family of eigenvalues using variational techniques and Ekeland’s variational principle. |
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| ISSN: | 1027-5487 2224-6851 |
| DOI: | 10.11650/tjm/190404 |