| Abstract: |
| We consider Sturm-Liouville-type differential problems dependent on a parameter with various boundary conditions. The reaction term $f$ belongs to a class of almost everywhere continuous functions and the set of the points of discontinuity of $f$ may also be uncountable. Combining variational methods with critical point theorems for non-differentiable functions, weak solutions to the problems are established provided the parameter belongs to an explicit interval. |
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