Existence of multiple positive solutions for fractional Laplace problems with critical growth and sign-changing weight in non-contractible domains. (English) Zbl 1513.35024
Summary: We prove the existence of multiple positive solutions for a fractional Laplace problem with critical growth and sign-changing weight in non-contractible domains.
MSC:
| 35A15 | Variational methods applied to PDEs |
| 35S15 | Boundary value problems for PDEs with pseudodifferential operators |
| 35R11 | Fractional partial differential equations |
| 35B09 | Positive solutions to PDEs |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
Keywords:
multiple positive solutions; fractional Laplace problems; critical growth; Lusternik-Schnirelmann categoryReferences:
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