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math.SP2008
Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions
Tomas Ekholm, Andreas Enblom
This paper considers Lieb-Thirring inequalities for higher order differential operators. A result for general fourth-order operators on the half-line is developed, and the trace in…
math.SP2008★ 1 cited
Schroedinger Operators on Regular Metric Trees with Long Range Potentials: Weak Coupling Behavior
Tomas Ekholm, Andreas Enblom, Hynek Kovarik
Consider a regular -dimensional metric tree with root . Define the Schroedinger operator , where is a non-negative, symmetric potential, on , with Neumann b…