Sunto
Si dimostrano proprietà di continuità e di compattezza per una classe di operatori differenziali non lineari. In virtù di tali proprietà ed usando metodi di monotonia, si provano teoremi di esistenza di soluzioni per alcuni problemi al contorno non lineari in domini non limitati.
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Entrata in Redazione il 27 maggio 1978.
This research was supported by the G.N.A.F.A. of C.N.R.
This paper has been completed while the authors were visiting members at the Courant Institute of Mathematical Sciences under the sponsorship of the Consiglio Nazionale delle Ricerche.
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Benci, V., Fortunato, D. Weighted sobolev spaces and the nonlinear dirichlet problem in unbounded domains. Annali di Matematica 121, 319–336 (1979). https://doi.org/10.1007/BF02412010
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DOI: https://doi.org/10.1007/BF02412010