**V. Kokilashvili, A. Meskhi**

## On a Trace Inequality for One-Sided Potentials and Applications to the Solvability of Nonlinear Integral Equations

**abstract:**

Necessary and sufficient conditions, which govern a trace inequality
for one-sided potentials in the ``diagonal'' case, are established.
An application to the existence of positive solutions of a certain nonlinear
integral equation is presented.