On bifurcation from infinity. (English) Zbl 0272.35017


35B99 Qualitative properties of solutions to partial differential equations
35G20 Nonlinear higher-order PDEs
Full Text: DOI


[1] Keller, J. B.; Antman, S., Bifurcation Theory and Nonlinear Eigenvalue Problems (1969), Benjamin: Benjamin New York, (editors) · Zbl 0181.00105
[2] Krasnoselski, M. A., Topological Methods in the Theory of Nonlinear Integral Equations (1965), Macmillan: Macmillan New York
[3] Rabinowitz, P. H., Some global results for nonlinear eigenvalue problems, J. Functional Anal., 7, 487-513 (1971) · Zbl 0212.16504
[4] C. A. Stuart; C. A. Stuart · Zbl 0257.34021
[5] Rabinowitz, P. H., A global theorem for nonlinear eigenvalue problems and applications, (Zarantonello, E. H., Contributions to Nonlinear Functional Analysis (1971), Academic Press: Academic Press New York), 11-36 · Zbl 0271.47020
[6] Rabinowitz, P. H., Nonlinear Sturm-Liouville eigenvalue problems for second order ordinary differential equations, Comm. Pure Appl. Math., 23, 939-962 (1970) · Zbl 0206.09706
[7] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York · Zbl 0042.32602
[8] Agmon, S.; Douglis, A.; Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math., 12, 623-727 (1959) · Zbl 0093.10401
[9] Agmon, S., The \(L_p\) approach to the Dirichlet problem, Ann. Sc. Norm. Sup. Pisa, 13, 405-446 (1959), (3) · Zbl 0093.10601
[10] Nirenberg, L., On elliptic partial differential equations, Ann. Sc. Norm. Sup. Pisa, 13, 115-162 (1959), (3) · Zbl 0088.07601
[11] Courant, R.; Hilbert, D., (Methods of Mathematical Physics, Vol. II (1962), Interscience: Interscience New York) · Zbl 0729.00007
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