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Quittner, Pavol ; Žubrinić, Darko
On the unique solvability of nonresonant elliptic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 2, pp. 301-306
MSC: 35A05, 35J35, 35J60, 35J65 | MR 857550 | Zbl 0603.35035
References:
[1] H. AMANN: Saddle points and multiple solutions of differential equations. Math. Z. 169 (1979), 129-166. MR 0550724 | Zbl 0414.47042
[2] C. L DOLPH: Nonlinear integral equations of the Hammerstein type. Trans. Amer. Soc. 66 (1949), 289-307. MR 0032923 | Zbl 0036.20202
[3] D. G.de FIGUEIREDO: The Dirichlet problem for nonlinear elliptic problems: a Hilbert Space approach. Lecture Notes in Math. No. 446, Springer, Berlin (1975), 144-165. MR 0437924
[4] S. FUČÍK: Solvability of Nonlinear Equations and Boundary Value Problems. D. Reidel Publishing Co., Holland, 1980. MR 0620638
[5] D. ŽUBRINIĆ: On the existence of solutions of - $\Delta u = g(x,u,\nabla u)$. Glasnik Mat., in press. Zbl 0598.35041
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