- 98-177 J. Dolbeault, M.J. Esteban, E. Sere
- Variational characterization for eigenvalues of Dirac operators
Mar 10, 98
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Abstract. In this paper we give two different variational characterizations
for the eigenvalues of of $H+V$ where $H$ denotes the free
Dirac operator and $V$ is a scalar potential.
The first one is a min-max involving a Rayleigh
quotient. The second one consists in minimizing an
appropriate nonlinear functional. Both methods can be
applied to potentials which have
singularities as strong as the Coulomb potential.