@article{MASLO_1997_47_4_a8,
author = {Motreanu, Dumitru},
title = {A saddle point approach to nonlinear eigenvalue problems},
journal = {Mathematica slovaca},
pages = {463--477},
year = {1997},
volume = {47},
number = {4},
mrnumber = {1796959},
zbl = {0984.49026},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1997_47_4_a8/}
}
Motreanu, Dumitru. A saddle point approach to nonlinear eigenvalue problems. Mathematica slovaca, Tome 47 (1997) no. 4, pp. 463-477. http://geodesic.mathdoc.fr/item/MASLO_1997_47_4_a8/
[1] AMBROSETTI A.-RABINOWITZ P. H.: Dual variational methods in critical point theory and applications. J. Funct. Anal. 14 (1973), 369-381. | MR | Zbl
[2] CHANG K. C.: Variational methods for non-differentiable functionals and their applications to partial differential equations. J. Math. Anal. Appl. 80 (1981), 102-129. | MR | Zbl
[3] DEGIOVANNI M.: Bifurcation for odd nonlinear variational inequalities. Ann. Fac. Sci. Toulouse Math. (6) 11 (1990), 39-66. | MR
[4] DU Y.: A deformation lemma and some critical point theorems. Bull. Austral. Math. Soc. 43 (1991), 161-168. | MR | Zbl
[5] GHOUSSOUB N.: A min-max principle with a relaxed boundary condition. Proc. Amer. Math. Soc. 117 (1993), 439-447. | MR | Zbl
[6] GHOUSSOUB N.-PREISS D.: A general mountain pass principle for locating and classifying critical points. Ann. Inst. H. Poincare. Anal. Non Lineaire 6 (1989), 321-330. | MR | Zbl
[7] HOFER H.: A note on the topological degree at a critical point of mountainpath-type. Proc. Amer. Math. Soc. 90 (1984), 309-315. | MR
[8] HULSHOF J.-van der VORST R.: Differential systems with strongly indefinite variational structure. J. Funct. Anal. 114 (1993), 97-105. | MR | Zbl
[9] KAVIAN O.: Introduction á la theorie des points critiques et applications aux problémes elliptiques. Mathématiques & Applications 13, Springer Verlag, Paris, 1993. | MR | Zbl
[10] KUBRULSKI R. S.: Variational methods for nonlinear eigenvalue problems. Differential Integral Equations 3 (1990), 923-932.
[11] LEFTER C.-MOTREANU D.: Critical point theory in nonlinear eigenvalue problems with discontinuities. In.: Internat. Ser. Numer. Math. 107, Birkhäuser Verlag, Basel, 1992, pp. 25-36. | MR
[12] MOTREANU D.: Existence for minimization with nonconvex constraints. J. Math. Anal. Appl. 117 (1986), 128-137. | MR | Zbl
[13] MOTREANU D.-PANAGIOTOPOULOS P. D.: Hysteresis: the eigenvalue problem for hemivariational inequalities. In: Models of Hysteresis, Longman Scient. PubL, Harlow, 1993, pp. 102-117. | MR | Zbl
[14] PALAIS R. S.: Lusternik-Schnirelman theory on Banach manifolds. Topology 5 (1966), 115-132. | MR | Zbl
[15] PALAIS R. S.-TERNG C. L.: Critical Point Theory and Submanifold Geometry. Lecture Notes in Math. 1353, Springer Verlag, Berlin, 1988. | MR | Zbl
[16] RABINOWITZ P. H.: Variational methods for nonlinear eigenvalue problems. In: Eigenvalues of Nonlinear Problems (G. Prodi, ed.), C.I.M.E., Edizioni Cremonese, Roma, 1975, pp. 141-195. | MR
[17] RABINOWITZ P. H.: Minimax Methods in Critical Point Theory With Applications to Differential Equations. CBMS Regional Conf. Ser. in Math. 65, Amer.Math.Soc, Providence, R.I., 1986. | MR | Zbl
[18] RAUCH J.: Discontinuous semilinear differential equations and multiple valued maps. Proc. Amer. Math. Soc. 64 (1977), 277-282. | MR | Zbl
[19] SCHECHTER M.-TINTAREV K.: Spherical maxima in Hilbert space and semilinear elliptic eigenvalue problems. Differential Integral Equations 3 (1990), 889-899. | MR | Zbl
[20] SCHECHTER M.-TINTAREV K.: Points of spherical maxima and solvability of semilinear elliptic equations. Canad. J. Math. 43 (1991), 825-831. | MR | Zbl
[21] SZULKIN A.: Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems. Ann. Inst. H. Poincaré Anal. Non Lineaire 3 (1986), 77-109. | MR | Zbl
[22] SZULKIN A.: Ljusternik-Schnirelman theory on $C^1$-manifold. Ann. Inst. H. Poincaré Anal Non Linéaire 5 (1988), 119-139. | MR
[23] WANG T.: Ljusternik-Schnirelman category theory on closed subsets of Banach manifolds. J. Math. Anal. Appl. 149 (1990), 412-423. | MR
[24] ZEIDLER E.: Ljusternik-Schnirelman theory on general level sets. Math. Nachr. 129 (1986), 235-259. | MR | Zbl