zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Some global results for nonlinear eigenvalue problems. (English) Zbl 0212.16504

MSC:
47-02Research monographs (operator theory)
46B99Normed linear spaces and Banach spaces
47J05Equations involving nonlinear operators (general)
WorldCat.org
Full Text: DOI
References:
[1] Krasnoselski, M. A.: Topological methods in the theory of nonlinear integral equations. (1965)
[2] Leray, J.; Schauder, J.: Topologie et équations fonctionelles. Ann. sci. École norm. 51, 45-78 (1934) · Zbl 60.0322.02
[3] P. H. Rabinowitz, Nonlinear Sturm-Liouville problems for second order ordinary differential equations, Comm. Pure Appl. Math., to appear. · Zbl 0206.09706
[4] M. G. Crandall and P. H. Rabinowitz, Nonlinear Sturm-Liouville eigenvalue problems and topological degree, J. Math. Mech., to appear. · Zbl 0206.09705
[5] Keller, J. B.; Antman, S.: Bifurcation theory and nonlinear eigenvalue problems. (1969) · Zbl 0181.00105
[6] Whyburn, G. T.: Topological analysis. (1958) · Zbl 0080.15903
[7] L. Bauer, E. L. Riess, and H. B. Keller, ”Antisymmetric Buckling of Hollow Spheres and Hemispheres,” preprint.
[8] M. G. Crandall and P. H. Rabinowitz, Bifurcation at simple eigenvalues, J. Functional Analysis, to appear. · Zbl 0219.46015
[9] Gantmacher, F. R.; Krein, M. G.: Oszillationsmatrizen, oszillationkerne und kleine schwingungen mechanischer systeme. (1960)
[10] R. Turner, Nonlinear eigenvalue problems with nonlocal operators, J. Math. Mech., to appear. · Zbl 0201.14501
[11] Krein, M. G.; Rutman, M. A.: Linear operators which leave a cone in Banach space invariant. Amer. math. Soc. trans. Ser. 1 10 (1950)
[12] Ladyzhenskaya, O. A.; Uraltseva, N.: Linear and quasilinear elliptic equations. (1968) · Zbl 0164.13002
[13] Courant, R.; Hilbert, D.: Methods of mathematical physics. (1962) · Zbl 0099.29504
[14] Keller, H. B.; Cohen, D. S.: Some positone problems suggested by nonlinear heat generation. J. math. Mech. 16, 1361-1376 (1967) · Zbl 0152.10401
[15] Rabinowitz, P. H.: Periodic solutions of nonlinear hyperbolic partial differential equations. Comm. pure appl. Math. 20, 145-205 (1967) · Zbl 0152.10003
[16] Nirenberg, L.: On elliptic partial differential equations. Ann. scuola, norm. Super. Pisa ser. 3 13, 1-48 (1959)
[17] Bers, L.; John, F.; Schechter, M.: Partial differential equations. (1964) · Zbl 0126.00207
[18] Moser, J.: A rapidly convergent iteration method and nonlinear partial differential equations. Ann. scuola, norm. Super. Pisa ser. 3 20, 265-315 (1966) · Zbl 0144.18202
[19] Karlin, S.: The existence of eigenvalues for integral operators. Trans. amer. Math. soc. 113, 1-17 (1964) · Zbl 0178.46804
[20] Parter, S. V.: Nonlinear eigenvalue problems for some fourth-order equations: II. Fixed point methods. Technical report #77, 1-46 (Nov. 1969)