Abstract
Based on a new Liouville theorem, we study a superlinear Ambrosetti–Prodi problem for the p-Laplacian operator, 1 < p < N. For this, we use the sub and supersolution method, blow up technique and the Leray–Schauder degree theory.
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Miotto, T.J. Superlinear Ambrosetti–Prodi problem for the p-Laplacian operator. Nonlinear Differ. Equ. Appl. 17, 337–353 (2010). https://doi.org/10.1007/s00030-010-0057-2
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DOI: https://doi.org/10.1007/s00030-010-0057-2