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Fučík, Svatopluk. Nonlinear potential equations with linear parts at resonance. Časopis pro pěstování matematiky, Tome 103 (1978) no. 1, pp. 78-94. doi: 10.21136/CPM.1978.117962
@article{10_21136_CPM_1978_117962,
author = {Fu\v{c}{\'\i}k, Svatopluk},
title = {Nonlinear potential equations with linear parts at resonance},
journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
pages = {78--94},
year = {1978},
volume = {103},
number = {1},
doi = {10.21136/CPM.1978.117962},
mrnumber = {0482425},
zbl = {0398.47038},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1978.117962/}
}
TY - JOUR AU - Fučík, Svatopluk TI - Nonlinear potential equations with linear parts at resonance JO - Časopis pro pěstování matematiky PY - 1978 SP - 78 EP - 94 VL - 103 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1978.117962/ DO - 10.21136/CPM.1978.117962 LA - en ID - 10_21136_CPM_1978_117962 ER -
[1] S. Ahmad A. C. Lazer J. L. Paul: Elementary critical point theory and perturbations of elliptic boundary value problems at resonance. Indiana Univ. Math. Jour. 25, 1976, 933- 944. | MR
[2] A. Ambrosetti-G. Mancini: Existence and multiplicity results for nonlinear elliptic problems with linear part at resonance. I: The case of simple eigenvalue. (to appear). | MR
[3] A. Ambrosetti-G. Mancini: Theorems of existence and multiplicity for nonlinear elliptic problems with noninvertible linear part. (to appear). | MR | Zbl
[4] H. Brezis, L. Nirenberg: Characterizations of the ranges of some nonlinear operators and applications to boundary value problems. (to appear). | MR | Zbl
[5] S. Fučík: Further remark on a theorem by E. M. Landesman and A. C Lazer. Comment. Math. Univ. Carolinae I5, 1974, 259-271. | MR
[6] S. Fučík: Surjectivity of operators involving linear noninvertible part and nonlinear compact perturbation. Funkcialaj Ekvacioj 17, 1974, 73-83. | MR
[7] S. Fučík: Nonlinear equations with noninvertible linear part. Czech. Math. Journal 24, 1974, 467-495. | MR
[8] S. Fučík: Remarks on some nonlinear boundary value problems. Comment. Math. Univ. Carolinae I 7, 1976, 721-730. | MR
[9] S. Fučík, M. Krbec: Boundary value problem with bounded nonlinearity and general null- space of the linear part. Math. Z. I55, 1977, 129-138. | MR
[10] S. Fučík, M. Kučera-J. Nečas: Ranges of nonlinear asymptotically linear operators. J. Differential Equations 17, 1975, 375-394. | MR
[11] R. E. Gaines-J. L. Mawhin: Coincidence degree, and nonlinear differential equations. Lecture Notes in Mathematics No 568. Springer Verlag 1977. | MR | Zbl
[12] P. Hess: A remark on a preceding paper of Fučík and Krbec. Math. Z. I55,1977,139-141. | MR
[13] J. L. Kazdan, F. W. Warner: Remarks on quasilinear elliptic equations. Comm. Pure Appl. Math. 28, 1975,567-597. | MR
[14] E. M. Landesman, A. C. Lazer: Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. IP, 1970, 609-623. | MR | Zbl
[15] J. Nečas: Les merhodes directes en theorie des Equations elliptiques. Academia, Prague 1967. | MR
[16] J. Nečas: On the range of nonlinear operators with linear asymptotes which are not in- vertible. Comment. Math. Univ. Carolinae I4, 1973, 63-72. | MR
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