114 citations · 767 across the 136 of their papers we have counts for
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Lower bounds for self-adjoint Sturm-Liouville operators
Jussi Behrndt, Fritz Gesztesy, Philipp Schmitz +1
In this note we provide estimates for the lower bound of the self-adjoint operator associated with the three-coefficient Sturm-Liouville differential expression $$ \frac{1}{r} \lef…
Sharp Boundary Trace Theory and Schrödinger Operators on Bounded Lipschitz Domains
Jussi Behrndt, Fritz Gesztesy, Marius Mitrea
We develop a sharp boundary trace theory in arbitrary bounded Lipschitz domains which, in contrast to classical results, allows "forbidden" endpoints and permits the consideration…
Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm-Liouville operators
Fritz Gesztesy, Roger Nichols
Using the variational characterization of the principal (i.e., smallest) eigenvalue below the essential spectrum of a lower semibounded self-adjoint operator, we prove strict domai…