Summary
We study boundary value problems in variational form for nonlinear elliptic operators in the case the nonlinearity is not of polynomial type. We give some examples of applications of abstract theorems for homogeneous problems obtained by other authors (e.g. Donaldson, Grossez) to homogeneous «intermediate» and «mixed» problems. Furthermore we prove some existence theorems for non homogeneous problems.
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Palmieri, G. Sui probleimi ellittici non lineari con coefficienti crescenti «rapidamente» o «lentamente». Annali di Matematica pura ed applicata 126, 117–147 (1980). https://doi.org/10.1007/BF01762504
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DOI: https://doi.org/10.1007/BF01762504