References
Agmon, S.: Lectures on elliptic boundary value problems. New York: Van Nostrand Mathematical Studies 1965
Barankin, E., Dorfman, R.: On quadratic programming. Univ. California Publ. Statist.2, 258–318 (1958)
Collatz, L., Wetterling, W.: Optimierungsaufgaben. Heidelberger Taschenbücher 15. Berlin-Heidelberg-New York: Springer 1966
Edwards, R.E.: Functional Analysis. New York: Holt, Rinehart and Winston 1965
Frehse, J.: Landesman-Lazer-alternative theorems for a class of non-linear functional equations. Preprint 1978
Frehse, J.: Solvability and alternative theorems for a class of non-linear functional equations in Banach spaces. Preprint 1977
Fučik, S., John, O., Nečas, J.: On the existence of Schauder bases in Sobolev spaces, Commentationes math. Univ. Carolinae13, 163–175 (1972)
Hess, P.: On the Fredholm alternative for non-linear functional equations in Banach spaces, Proc. Amer. math. Soc.33, 55–61 (1972)
Kačurovskii, R.I.: On Fredholm theory for non-linear operator equations. Doklady Akad. Nauk. SSSR192, 751–754 (1970)
Kačurovskii, R.I.: On non-linear operators whose ranges are subspaces. Doklady Akad. Nauk. SSSR196, 168–172 (1971)
Morrey, C.B. Jr.: Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966
Nečas, J.: Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites. Ann. Scuola norm. sup. Pisa, Sci. fis. mat., III. Ser.23, 331–346 (1969)
Petryshyn, W.V.: Fredholm alternatives for non-linear A-proper mappings with applications to non-linear elliptic boundary value problems. J. Functional Analysis18, 288–317 (1975)
Pohodjayev, S.I.: On the solvability of non-linear equations with odd operators. Functional Analysis Appl.1, 66–73 (1967)
Triebel, H.: Über die Existenz von Schauderbasen in Sobolev-Besow-Räumen, Studia Math.46, 83–100 (1973)
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Frehse, J. An existence theorem for a class of non-coercive optimization and variational problems. Math Z 159, 51–63 (1978). https://doi.org/10.1007/BF01174568
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DOI: https://doi.org/10.1007/BF01174568