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On some linear and nonlinear eigenvalue problems with an indefinite weight function. (English) Zbl 0477.35075

MSC:
35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs
35J25 Boundary value problems for second-order elliptic equations
35J65 Nonlinear boundary value problems for linear elliptic equations
35J20 Variational methods for second-order elliptic equations
35P15 Estimates of eigenvalues in context of PDEs
47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
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References:
[1] Kato, T. 1966. ”Pertubation theory for linear operators.”. Berlin-Heidelberg, New York: Springer-Verlag.
[2] Kato T., Israel J. Math. 13 pp 135– (1972) · Zbl 0246.35025 · doi:10.1007/BF02760233
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[5] Protter M. H., Bull. A. M. S. 72 pp 251– (1966) · Zbl 0141.09901 · doi:10.1090/S0002-9904-1966-11485-4
[6] Rabinowitz P., J. Functional Analysis 7 pp 487– (1971) · Zbl 0212.16504 · doi:10.1016/0022-1236(71)90030-9
[7] Schaefer H. H., Topological Vector Spaces (1966) · Zbl 0141.30503
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