Positive eigenfunctions of a Schrödinger operator

• Autores: Charles A. Stuart, Huan-Song Zhou
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 72, Nº 2, 2005, págs. 429-441
• Idioma: inglés
• DOI: 10.1112/s0024610705006873
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.