Multiple Solutions for a Singular Problem Involving the Fractional --Laplacian Operator
This paper deals with the following singular problem: where ( ) are a bounded smooth domain, is positively homogeneous of degree , , for almost every , , , , , and . Under appropriate conditions on the function , we establish the existence of multiple solutions by using the Nehari manifold method.
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| Veröffentlicht in: | Mathematical Notes 2022, Vol.112 (5-6), p.664-673 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | This paper deals with the following singular problem:
where
(
) are a bounded smooth domain,
is positively homogeneous of degree
,
,
for almost every
,
,
,
,
, and
. Under appropriate conditions on the function
, we establish the existence of multiple solutions by using the Nehari manifold method. |
|---|---|
| ISSN: | 0001-4346 1067-9073 1573-8876 |
| DOI: | 10.1134/S0001434622110049 |