Spectral analysis of nonlinear operators

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1. H. Amann, Lusternik-Schnirelman theory and non-linear eigenvalue problems, Math. Ann. 199, 1972, 55-72. (199,) MR0350536
2. F. E. Browder, Problemes non-lineaires, University Montreal, 1965. (1965) 
3. F. E. Browder, Infinite dimensional manifolds and nonlinear eigenvalue problems, Ann. of Math. 82, 1965, 459-477. (1965) MR0203249
4. Z. Ciesielski J. Domsta, Construction of an orthonormal basis in $C^m\left(I^d\right)$ and $W_p^m\left(I^d\right)$, Studia Math. 41, 1972, 211-224. (1972) MR0310607
5. Э. C. Цитланадзе, Теория существования точек минимакса в пространствах Банаха и их периложения, Tpуды Mocк. Maм. o-вa 2 (1952), 235-274. (1952) Zbl1145.11324
6. Ю. A. Дубинский, Heлинейные еллиптические и параболические уравнения высшего порядка, Уcnexи мaт. нayк 23 (139), 1968, 45-90. (1968) Zbl0279.01009MR0228826
7. P. Enflo, A counterexample to the approximation problem, Acta Math. 130, 1973, 309-317. (1973) Zbl0267.46012MR0402468
8. S. Fučík, Note on Fredholm alternative for nonlinear operators, Comment. Math. Univ. Carolinae 12, 1971, 213-226. (1971) MR0288641
9. S. Fučík, Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations, Čas. pěst. mat. 96, 1971, 371 - 390. (1971) MR0326502
10. S. Fučík, Surjectivity of operators involving linear noninvertible compact perturbation, Funkc. Ekvacioj 17, 1974, 73-83. (1974) MR0365255
11. S. Fučík, Nonlinear equations with noninvertible linear part, Czech. Math. Journal 24 (99), 1974, 467-495. (1974) MR0348568
12. S. Fučík, Further remark on a theorem by E. M. Landesman and A. C Lazer, Comment. Math. Univ. Carolinae 15, 1974, 259-272. (1974) MR0348260
13. S. Fučík O. John J. Nečas, On the existence of Schauder bases in Sobolev spaces, Comment. Math. Univ. Carolinae 13, 1972, 163-175. (1972) MR0306890
14. S. Fučík M.Kučera J. Nečas, Ranges of nonlinear assymptotically linear operators, Journ. Diff. Eq. 17, 1975, 375-394. (1975) MR0372696
15. S. Fučík, M. Kučera, J. Nečas, J. Souček, V. Souček, Morse-Sard theorem in infinite dimensional spaces and the investigation of critical levels, Čas. pěst. mat. 99, 1974, 217-243. (1974) MR0370649
16. S. Fučík, J. Nečas, Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems, Math. Nachr. 53, 72, 277-289. MR0333863
17. S. Fučík, J. Nečas, J. Souček- V. Souček, New infinite dimensional versions of Morse-Sard theorem, Boll. U. Mat. Ital. 6, 1972, 317-322. (1972) MR0324724
18. S. Fučík, J. Nečas, J. Souček, V. Souček, Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear differential operators, Journ. Funct. Anal. 11, 1972, 314-333. (1972) MR0341224
19. S. Fučík, J. Nečas, J. Souček, V. Souček, Upper bound for the number of eigenvalues for nonlinear operators, Ann. Scuola Norm. Sup. Pisa 27, 1973, 53 - 71. (1973) MR0372918
20. S. Fučík, J. Nečas, J. Souček, V. Souček, Spectral Analysis of Nonlinear Operators, Lecture Notes in Mathematics No. 346, Springer-Verlag 1973. (1973) MR0467421
21. S. Fučík, J. Nečas, J. Souček, V. Souček, Note to nonlinear spectral theory: Application to the nonlinear integral equations of the Lichtenstein type, Math. Nachr. 58, 1973, 257-267. (1973) MR0340998
22. S. Fučík, J. Nečas, J. Souček, V. Souček, M. A. Krasnosel'skij's main bifurcation theorem, Arch. Rat. Mech. Anal. 54, 1974, 328-339. (1974) MR0380538
23. S. Fučík, Tran Dien Hien, Note to nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations, Comment. Math. Univ. Carolinae 14, 1973, 583-608. (1973) MR0333631
24. P. Hess, On a theorem by Landesman and Lazer, Indiana U. Math. J. 23, 1974, 827-829. (1974) Zbl0259.35036MR0352687
25. P. И. Kaчypoвcкuй, Heлинeйныe мoнoтoнныe oпepaтopы в бaнaxoвыx пpocтpaнcтвax, Уcпexи Maт. Hayк 23, 1968, 121-168. (1968) 
26. M. A. Kpacнoceльcкuй, Toпoлorичecкиe мeтoды в тeopии нeлинeйныx интeгpaльныx ypaвнeний, Mocквa 1956. (1956) 
27. A. Kpamoxвuл, И. Heчac, O диcкpeтнocти cпeктpa нeлинeйнoгo ypaвнeния Штypмa-Лиyвилля чeтвepтoгo пopядкa, Пpимeнeниe фyнкциoнaльныx мeтoдoв к кpaeвым зaдaчaм мaтeмaтичecкoй физики, Maтepиaлы З-гo Coвeтcкo-Чexocлoвaцкoгo coвeщaния (мaй 1971 г.), Hoвocибиpcк 1972, cтp. 107-121. (1971) 
28. A. Kpamoxвuл, И. Heчac, O диcкpeтнocти cпeктpa нeлинeйнoгo ypaвнeния Штypмa-Лиyвилля чeтвepтoгo пopядкa, Comment. Math. Univ. Carolinae 12, 1971, 639-653. (1971) 
29. M. Kučera, Fredholm alternative for nonlinear operators, Comment. Math. Univ. Carolinae 11, 1970, ЗЗ7-З6З. (1970) MR0267429
30. M. Kučera, Hausdorff measures of the set of critical values of functions of the class $C_{k,\lambda }$, Comment. Math. Univ. Carolinae 13, 1972, ЗЗЗ - 350. (1972) MR0305421
31. E. M. Landesman-A. C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, Journ. Math. Mech. 19, 1970, 609-623. (1970) Zbl0193.39203MR0267269
32. J. Leray, J. L. Lions, Quelques résultats de Višik sur les problèmes elliptiques nonlinéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France 93, 1965, 97-107. (1965) MR0194733
33. Л. A. Люcmepнuк, Л. Г. Шнupeльмaн, Пpимeнeниe тoпoлoгии к вapиaциoнным зaдaчaм, Tpуды 2-oгo вcecoюз. мaт. cъeздa 1, 1935, 224-237. (1935) 
34. J. Nečas, Sur ľalternative de Fredholm pour les opérateurs non-linéaires avec applications aux limites, Ann. Scuola Norm. Sup. Pisa 23, 1969, ЗЗ1 -345. (1969) MR0267430
35. J. Nečas, Remark on the Fredholm alternative for non-linear operators with application to nonlinear integral equations of generalized Hammerstein type, Comment. Math. Univ. Carolinae 13, 1972, 109-120. (1972) MR0305171
36. J. Nečas, Fredholm alternative for nonlinear operators and application to partial differential equations and integral equations, Čas. pěst. mat. 97, 1972, 65 - 71. (1972) MR0308882
37. И. Heчac, O диcкpeтнocти cпeктpa нeлинeйнoгo ypaвнeния Штypмa-Лиyвилля, Дoкл. Aкaд. Hayк CCCP 201, 1971, 1045-1048. (1971) 
38. И. Heчac, Aльтepнaтивы Фpeдгoльмa и иx пpилoжeния к кpaeвым зaдaчaм, Пpимeнeниe фyнкциoнaльныx мeтoдoв к кpaeвым зaдaчaм мaтeмaтичecкoй физики, Maтepиaлы 3-гo Coвeтcкo-Чexocлoвaцкoгo coвeщaния (мaй 1971 г.), Hoвocибиpcк 1972, cтp. 162-171. (1971) 
39. J. Nečas, Spectral analysis of nonlinear operators, Proc. Czech. summer school, Babylon 1971, Theory of nonlinear operators, Academia, Prague 1973, pp. 85-119. (1971) MR0402562
40. J. Nečas, On the ranges of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14, 1973, 63-72. (1973) MR0318995
41. W. V. Petryshyn, Nonlinear equations involving noncompact operators, Proc. Symp. Pure Math. Vol. 18, Part 1, Nonlinear functional analysis, Rhode Island 1970. (1970) Zbl0232.47070MR0271789
42. C. И. Пoxoжaeв, O paзpeшимocти нeлинeйныx ypaвнeний c нeчeтными oпepaтopaми, Фyнкц. aнaлиз и eгo пpил. т. 1, 1967, 66-73. (1967) 
43. J. Souček, V. Souček, The Morse-Sard theorem for real-analytic functions, Comment. Math. Univ. Carolinae 13, 1972, 45 - 51. (1972) MR0308345
44. V. Souček, O spektгu nelineárních operátorů, (кaндидaтcкaя диccepтaция), Praha 1973. (1973) 
45. H. Triebel, Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen, Isomorphiebeziehungen. Studia Math. XLJV9 1973, 83-100. (1973) Zbl0251.46032MR0338771
46. S. A. Williams, A sharp sufficient condition foг solution of a nonlinear boundary value problem, Јourn. Diff. Eq. 8, 1970, 580-586. (1970) MR0267267