Existence results for non-local operators of elliptic type. (English) Zbl 1302.35398
Summary: We investigate the existence of solutions for equations driven by a non-local integrodifferential operator with homogeneous Dirichlet boundary conditions. We make use of homological linking and Morse theory.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A15 | Variational methods applied to PDEs |
| 35S15 | Boundary value problems for PDEs with pseudodifferential operators |
