On the construction of lusternik-schnirelmann critical values with application to bifurcation problems

References

• Amann , H. 55 . Lusternik-Schnirelmann Theory and Non-Linea Eigenvalue Problems . Math, Ann , 199 : 72 – 1972 .
   Google Scholar
• Fucik , S. , Necas , J. , Soucek , J. and Soucek , V. 1973 . “ Spectral Analysis of Nonlinear Operators ” . In Berlin-Heidelberg-New York. Lecture Notes in Mathematics , Vol. 346 , Springer-Verlag .
   Google Scholar
• Glowinski , R. , Keller , H. and Reinhart , L. 1982 . Continuation-conjugate gradient methods for least square solution of nonlinear boundary value problems . INRIA, Rapports do Recherche , 141
   Google Scholar
• Kratochvil , A. and Nečas , J. 1979 . Secant Modulus Method for the Construction of a Solution of Nonlinear Eigenvalue Problems . Boll. Un. Mat. Ital. B(5) , 16 : 694 – 710 .
   Google Scholar
• Kratochvil , A. and Nečas , J. 1980 . Gradient Methods for the Construction of Lusternik-Schnirelmann Critical Values . RAIRO Anal. Numér , 14 : 43 – 54 .
   Google Scholar
• Mittelman , M.D. 1980 . “ Bifurcation Problems and Their Numerical Solution ” . In Basel. ISNM , Vol. 54 , Birkhäuser .
   Google Scholar
• Nečas , J. 1975 . An Approximate Method of Finding Critical Points of Even Functionals . Proc. Steklov Inst. Math , 134 : 267 – 272 .
   Google Scholar
• Neittaanmaki , P. and Ruotsalainen , K. 1986 . On the numerical solution of the bifurcation problem for the sine-Gordon equation , Arab. J. Math. .
   Google Scholar
• Nirenberg , L. 1974 . Topics in Nonlinear Functional Analysis , New York University. Lecture Note, Courant Institute of Mathematical Sciences .
   Google Scholar
• Yosida , K. 1974 . “ Functional Analysis ” . In Grundlehren der mathematischen Wissenschaften 123 , New York-Berlin-Heidelberg-Tokyo : Springer-Verlag .
   Google Scholar
• Zeidler , E. 1985 . Nonlinear Functional Analysis and its Applications III. Variational Meth-ods and Optimization , New York-Berlin-Heidelberg-Tokyo : Springer-Verlag .
   Google Scholar