References
- Bauer , L. , Keller , H.B. and Riess , E.L. 1970 . Axisymmetric buckling of hollow spheres and hemispheres . Commun. pure appl. Math , 23 : 529 – 568 .
- Bauer , L. , Keller , H.B. and Riess , E.L. 1975 . Multiple eigenvalues lead to secondary bifurcation . SIAM Rev , 17 : 101 – 122 .
- Bazley , N.W. and Küpper , T. 1981 . “ Branches and solutions in nonlinear eigenvalue problems", in Applications of nonlinear analysis in the physical sciences ” . Edited by: Amann , H. , Bazley , N.W. and Kirchgässner , K. London : Pitman Publishing Ltd .
- Buchner , M. , Marsden , J. and Schecter , S. 1983 . Applicaitons of the blowing-up construction and algebraic geometry to bifurcation problems . J. Diff. Equations , 48 : 404 – 433 .
- Grandall , M. and Rabinowitz , P. 1971 . Bifurcation at simple eigenvalues . J. Funct. Anal , 8 : 321 – 340 .
- Kluge , R. 1970 . Zur Lösung eines Bifurkationsproblems für die Karmanschen Gleichungen im Fall der rechteckigen Platte . Math. Nachr , 44 : 29 – 54 .
- Knightly , G.H. and Sather , D. 1977 . Existence and stability of axisymmetric buckled states of sphereical shells . Arch. ration. mech. Analysis , 63 : 305 – 319 .
- Mc Leod , J.B. and Sattinger , D.H. 1973 . Loss of stability and bifurcation at a double eigenvalue . J. Funct. Anal , 14 : 62 – 84 .
- Sather , D. 1977 . Bifurcation and stability for a class of shells . Arch. ration. mech. Analysis , 63 : 295 – 304 .
- Sather , D. 1970 . Branching of solutions of an equation in Hilbert space . Arch. Rational Mech. Anal , 36 : 47 – 64 .
- Shearer , M. 1980 . Bifurcation of axisymmetric buckled states of a thin spherical shell . Nonlinear Anal, Theory, Methods & Appl , 4 : 699 – 713 .
- Tan , N.X. 1987 . An analytical approach to bifurcation problems with applications to partial differential equation . Math. Nachr , 131 : 251 – 285 .
- Tan , N.X. 1988 . An analytical study of bifurcation problems for equations involving Fredholm mapping . Proc. of the Royal Society of Edinburgh. Sect. , A 110 : 199 – 225 .
- Tan , N.X. 1988 . Bifurcation from characteristic values for equation involving Fredholm mappings with applications to partial differential equation . I. , 137 : 175 – 196 .