This is a preview of subscription content, log in via an institution to check access.
Bibliography
Akô, K.: On the Dirichlet problem for quasilinear elliptic differential equations of the second order. J. Math. Soc. Japan13, 45–62 (1961)
Amann, H.: On the number of solutions of nonlinear equations in ordered Banach spaces. J. Functional Analysis14, 346–384 (1973).
Amann, H.: Nonlinear operators in ordered Banach spaces and some applications to nonlinear boundary value problems. Lecture Notes in Mathematics “Non-linear Operators and the Calculus of Variations”, Bruxelles. Berlin-Heidelberg-New York: Springer 1975
Amann, H.: Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Review, Vol.18 (1976)
Amann, H.: Periodic solutions of semi-linear parabolic equations. In “Nonlinear Analysis: A Collection of Papers in Honor of Erich Rothe”, Academic Press, to appear
Bose, D.K.: On Semilinear Elliptic Boundary Value Problems in Unbounded Domains, Proc. Royal Soc. Edinburgh, to appear
Brill, H.: On the solvability of semilinear elliptic equations with nonlinear boundary conditions. Math. Ann.222, 37–48 (1976)
Choquet-Bruhat, T., et Leray, J.: Sur le problème de Dirichlet quasi-linéaire, d'ordre 2. C. R. Acad. Sc. Paris, t.274, Série A, 81–85 (1972)
Deuel, J., Hess, P.: A criterion for the existence of solutions of nonlinear elliptic boundary value problems. Proc. Royal Soc. Edinburgh74A, 3, 49–54 (1974/75)
Friedman, A.: Partial Differential Equations, Holt Rinehart and Winston, New York, 1969
Kolesov, Ju.S.: Periodic solutions of quasilinear parabolic equations of second order. Trans. Moscow Math. Soc.21, 114–146 (1970)
Ladyzenskaja, O.A., Solonnikov, V.A., Ural'ceva, N.N.: Linear and Quasilinear Equations of Parabolic Type. Amer. Math. Soc., Transl. of Math. Monographs. Vol. 23, 1968
Ogata, A.: On bounded positive solutions of nonlinear elliptic boundary value problems in an exterior domain. Funkcialaj Ekacioj, Ser. internac.17, 207–222 (1974)
Puel, J.-P.: Sur les problèmes quasilinéaires elliptiques et paraboliques d'ordre 2. C. R. Acad. Sc. Paris, t.275, Série A, 179–182 (1972)
Puel, J.-P.: Existence, comportement à l'infini et stabilité dans certains problèmes quasilinéaires elliptiques et paraboliques d'ordre 2. Ann. Scuola Norm. Sup. Pisa, Serie IV, vol.III, (1), 89–119 (1976)
Tomi, F.: Über semilinear elliptische Differentialgleichungen zweiter Ordnung. Math. Z.111, 350–366 (1969)
v. Wahl, W.: A-priori-Schranken für semi- und quasilineare parabolische Differentialgleichungen. Math. Z.128, 93–108 (1972)
v. Wahl, W.: Über quasilineare elliptische Differentialgleichungen in der Ebene. Manuscripta Math.8, 59–67 (1973)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Amann, H. Existence and multiplicity theorems for semi-linear elliptic boundary value problems. Math Z 150, 281–295 (1976). https://doi.org/10.1007/BF01221152
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01221152