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On the number of solutions of a nonlinear Dirichlet problem. (English) Zbl 0496.35039


MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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[1] Ambrosetti, A.; Prodi, G., On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pure Appl., 93, 213-246 (1972) · Zbl 0288.35020
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[11] Kreith, K., Oscillation Theory, (Lecture Notes in Mathematics (1973), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York), 324
[12] Fujita, H., On the nonlinears \(Δu + e^u = 0 and∂v∂t = Δv + e^v\), Bull. Amer. Math. Soc., 75, 132-135 (1969) · Zbl 0216.12101
[13] Sattinger, D. H., Topics in Stability and Bifurcation Theory, (Lecture Notes in Mathematics No. 309 (1973), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York) · Zbl 0466.58016
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