Resumen de Positive eigenfunctions of a Schrödinger operator

Charles A. Stuart, Huan-Song Zhou

• The paper considers the eigenvalue problem where and for some bounded open set .

  Given , does there exist a value of for which the problem has a positive solution? It is shown that this occurs if and only if lies in a certain interval and that in this case the value of is unique, . The properties of the function are also discussed.