Summary
Elliptic equations with nonlinearities, which have different derivatives at plus and minus infinity, are studied. A characterization of solvability is given by establishing the existence of nonlinear eigenvalues of a corresponding positive-homogeneous equation.
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Ruf, B. On nonlinear elliptic problems with jumping nonlinearities. Annali di Matematica pura ed applicata 128, 133–151 (1981). https://doi.org/10.1007/BF01789470
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DOI: https://doi.org/10.1007/BF01789470