References
- Bareket , M. 1976 . On the domain monotonicity of the first eigenvalue of a boundary value . Z. Appl. Math. Phys. , 27 : 487 – 491 .
- Cohen , D. S . 1967 . Positive solution of nonlinear eigenvalue problem: Applications to nonlinear reactor dynamics . Arch. Rational Mech. Anal. , 26 : 305 – 316 .
- Ewer , J. P. G and Peletier , L. A . 1975 . On the asymptotic behavior of solutions of semilinear parabolic equations . SIAM J. Appl. Math. , 28 : 43 – 53 .
- Friedman , A. 1964 . Partial Differential Equations of Parabolic Type , Englewood Cliffs, N.J. : Prentice Hall .
- Chambré , P. L . 1968 . On the stability of nonlinear space-dependent reactor kinetics . Nuclear Sci. Eng. , 31 : 67 – 79 .
- Keller , H. B and Cohen , D. S . 1967 . Some positone problems suggested by nonlinear heat generation . J. Math. Mech , 16 : 1361 – 1376 .
- Pao , C. V . 1975 . SIAM J. Appl Math , 29 : 40 – 59 .
- Pao , C. V . 1976 . Positive solution of a nonlinear boundary value problem of parabolic type . J. Differential Equations , 22 : 145 – 163 .
- Pao , C. V and Pao , C. V . 1978 . Asymptotic behavior and non-existence of global solutions for a class of nonlinear boundary value problems of parabolic type . J. Math. Anal. Appl , 65 : 616 – 637 .
- Pao , C. V . 1977 . Positive solutions and criticality of the linear and some nonlinear transport problems . SIAM J. Appl. Math. , 34 : 429 – 436 .
- Pao , C. V . 1976 . Critical length of a transport process in rod geometry . J. Math. Phys. , 17 : 1767 – 1772 .
- Payne , L. E. and Weinberger , H. F. 1957 . Lower bounds for vibration frequencies of elastically supported membranes and plates . J. Soc. Indust. Appl. Math. , 5 : 171 – 182 .
- Protter , M. H. and Weinberger , H. F. 1966 . On the spectrum of general second order operators . Bull. Amer. Math. Soc. , 72 : 251 – 255 .
- Sattinger , D. S . 1972 . Monotone methods in nonlinear elliptic and parabolic boundary value problems . Indiana Univ. Math. J. , 21 : 979 – 1000 .