Saut, J. C.; Temam, R. Generic properties of nonlinear boundary value problems. (English) Zbl 0462.35016 Commun. Partial Differ. Equations 4, 293-319 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 62 Documents MSC: 35G30 Boundary value problems for nonlinear higher-order PDEs 35J55 Systems of elliptic equations, boundary value problems (MSC2000) 35F20 Nonlinear first-order PDEs Keywords:topological approach; generic results; nonlinear elliptic boundary value problems; boundary data; transversality theorem Citations:Zbl 0206.257 PDF BibTeX XML Cite \textit{J. C. Saut} and \textit{R. Temam}, Commun. Partial Differ. Equations 4, 293--319 (1979; Zbl 0462.35016) Full Text: DOI References: [1] Abraham R., Bull. A.M.S. 69 pp 470– (1963) · Zbl 0171.44501 [2] Agmon S., Unicité et convexité duns eeb problémes differenties (1966) [3] Agmon S., Comm. Pure Appl. Math. 12 pp 623– (1959) · Zbl 0093.10401 [4] Foias C., Comm. Pure Appl. Math. pp 149– (1977) · Zbl 0335.35077 [5] Foias C., Annali Scuola Norm. Sup. d i Pisa. [6] Geba K., Séminaire de Mathématiques Supérieures (1975) [7] Guillope C., Thèse de 3ème cycle (1977) [8] Hadamard J., CNRS (1968) [9] Hirsch M., Differential topology (1976) · Zbl 0356.57001 [10] Hormander L., Math. Scand. 7 pp 177– (1959) · Zbl 0090.08001 [11] Ladyženskaja, O. A., Equations aux dérivées partielles de type elliptique, (1968) [12] Lions J. L., Non homogeneous boundary value problems and applications 1 (1973) · Zbl 0251.35001 [13] Marsden J., Personnal Communication [14] Micheletti A. M., Ann. Scuola Norm. Sup. Pisa 26 pp 151– (1972) [15] Micheletti A. M., Ann. Mat. Pura e applicate (IV) pp 267– (1973) · Zbl 0283.35036 [16] Murat F., Publications du Laboratoire Associe 189 (1976) [17] Necas J., Lés methodes directes en théorie des equations elliptiques, (1967) [18] Quinn F., Proc. Symp. Pure Math. 15 pp 213– (1970) [19] Saut J. C., C. R. Acad. Sc. Paris, Série A 285 pp 673– (1977) [20] Schwartz L., ”Functional Analysis” (1964) [21] Smale S., Amer. J. Math. 87 pp 861– (1965) · Zbl 0143.35301 [22] Uhlenbeck K., Bull. Amer. Math. Soc. 78 pp 1073– (1972) · Zbl 0275.58003 [23] Uhlenbeck K., Amer. J. Math. 98 (4) pp 1059– (1976) · Zbl 0355.58017 [24] Protter M. H., Transactions of the American Mathematical Society 95 pp 87– (1960) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.