[1] Fitzpatrick P M, Petryshyn W V. Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential
operators. J Diffferential Equations, 1976, 22: 428--441
[2] Lafferriere B, Petryshyn W V. New positive fixed point and eigenvalues result for PY-compact maps and some applications. Nonlinear Anal, 1989, 13: 1427--1440
[3] Zou W. Positive fixed point and eigenvalue results for weakly inward maps. Nonlinear Anal, 1996, 27: 1447--1461
[4] Kim I S. Some results on positive eigenvalues of admissible maps. Nonlinear Anal, 2003, 52: 1755--1763
[5] Kim I S. Positive eigenvalues of countably contractive maps. Math Comp Mod, 2003, 38: 1087--1092
[6] Kim I S. Perturbation theorems for positive eigenvalues of countably condensing maps. Math Comp Mod, 2004, 39: 75--85
[7] Deimling K. Nonlinear Functional Analysis. Berlin: Springer-Verlag, 1985
[8] Giles J R. Classes of semi-inner-product spaces. Trans Amer Math Soc, 1967, 129: 436--446
[9] Cior\u{a}nescu I. Geometry of Banach Spaces, Duailty Mappings and Nonlinear Problems. Dordrecht: Kluwer Academic, 1990
[10] Zeidler E. Nonlinear Functional Analysis and its Applications, Part I: Fixed Point Theorems. New York: Springer-Verlag, 1986
[11] Weber V H. φ-asymptotisches spectrum and surjektivitätssätze vom fredholm typ f\"{u}r nichtlineare operatoren mit anwendungen.
Math Nachr, 1984, 117: 7--35
[12] Yosida K. Functional Analysis. New York: Springer-Verlag, 1980
[13] Huang G, Chen W. Universal bounds for eigenvalues of Laplacian operator of any order. Acta Math Sci, 2010, 30B(3): 939--948
[14] Huang G, Li X. Estimates on eigenvalues for the biharmonic operator on a bounded domain. Acta Math Sci, 2011, 31B(4): 1383--1388 |