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Continuous dependence of eigenvalues on the domain. (English) Zbl 0137.32302


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[1] J. Hong: On an eigenvalue and eigenfunction problem of the equation \(\Delta u + \lamda u = 0\). Kodai Math. Sem. Rep. 9, (1957), 179-190. · Zbl 0080.08101
[2] I. Hong: A supplement to ”On an eigenvalue problem...”. Kodai Math. Sem. Rep. 10, (1958), 27-37. · Zbl 0083.09302
[3] I. Hong: On the equation \(\Delta u + \lambda f(x, y) u = 0\) under the fixed boundary condition. Kodai Math. Sem. Rep. 11, (1959), 95-108. · Zbl 0114.05401
[4] F. Riesz B. S. Nagy: Lecons d’analyse fonctionnelle. Budapest 1952. · Zbl 0122.11205
[5] R. Courant D. Hilbert: Methods of Mathematical Physics Vol. I. New York-London, 1953. · Zbl 0051.28802
[6] I. Babuška: Устойчивость областей определения по одношении к основым задачам теории дифференциальных уравненмй. Czechoslovak Mathematical Journal 11 (86), 1961, 76-105; 165-203.
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