Global Bifurcations of Solutions of Elliptic Differential Equations

Journal of Mathematical Analysis and Applications

Volumn 217, Issue 1, 1998, Pages 115-128

  Rybicki, Slawomir ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005654699     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5704     Document Type: Article

References (20)

1. Adams J. F. Lectures on Lie Groups. 1969;W. A. Benjamin, Inc. New York, Amsterdam.
2. Cosner C. Bifurcations from higher eigenvalues in nonlinear elliptic equations: Continua that meet infinity. Nonlinear Anal. 12:1988;271-277.
3. E. N. Dancer.
4. Healey T. J., Kielhöfer H. Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations. Arch. Rational Mech. Anal. 113:1990;299-311.
5. Healey T. J., Kielhöfer H. Positivity of global branches of fully nonlinear elliptic boundary value problems. Proc. Amer. Math. Soc. 115:1992;1031-1036.
6. Healey T. J., Kielhöfer H. Hidden symmetry of fully nonlinear boundary conditions in elliptic equations: Global bifurcation and nodal structure. Results Math. 21:1992;83-92.
7. Healey T. J., Kielhöfer H. Separation og global solution branches of elliptic systems with symmetries via nodal properties. Nonlinear Anal. 21:1993;665-684.
8. Healey T. J., Kielhöfer H. Preservation of nodal structure on global bifurcating solution branches of elliptic solutions with symmetries. J. Differential Equations. 106:1993;70-89.
9. Kielhöfer H. Smoothness and asymptotics of global positive branches of Δufu. Z. Angew. Math. Phys. 43:1992;139-153.
10. Kielhöfer H. Smoothness of global positive branches of nonlinear elliptic problems over symmetric domains. Math. Z. 211:1992;41-48.
11. p = 0 on the Compact Manifolds. Trans. Amer. Math. Soc. 331:1992;503-527.
12. Rabinowitz P. H. Some global results for nonlinear eigenvalue problems. J. Funct. Anal. 7:1971;487-513.
13. Rabinowitz P. H. Global Theorems for Nonlinear Eigenvalue Problems and Applications. Zarantonello E. H. Contributions to Nonlinear Functional Analysis. 1971;11-36 Academic Press, New York.
14. Rabinowitz P. H. Nonlinear Sturm-Liouville problems for second order ordinary differential equations. Comm. Pure Appl. Math. 23:1970;939-961.
15. Rabinowitz P. H. Minimax methods in critical point theory with applications to differential equations. Regional Conference Series in Math. 65:1984;CBMS, AMS.
16. 1. Nonlinear Anal. 23:1994;83-102.
17. 1. Topol. Methods Nonlinear Anal. 1997.
18. n. Differential Integral Equations. 9:1996;1267-1277.
19. 1. Nonlinear Anal. 1997.
20. 1, Nonlinear Anal.