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Some nonlinear differential equations with resonance at the first eigenvalue. (English) Zbl 0438.35058

MSC:
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35J60 Nonlinear elliptic equations
55M25 Degree, winding number
35P05 General topics in linear spectral theory for PDEs
47J05 Equations involving nonlinear operators (general)
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