Benci, V.; Fortunato, D. Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains. (English) Zbl 0422.35038 Ann. Mat. Pura Appl., IV. Ser. 121, 319-336 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 34 Documents MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 47H05 Monotone operators and generalizations 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:weighted Sobolev spaces; nonlinear Dirichlet problem; unbounded domains PDFBibTeX XMLCite \textit{V. Benci} and \textit{D. Fortunato}, Ann. Mat. Pura Appl. (4) 121, 319--336 (1979; Zbl 0422.35038) Full Text: DOI References: [1] Avantaggiati, A.; Troisi, M., Spazi di Sobolev con peso e problemi ellittici con un angolo I, II, III, Ann. Mat. Pura Appl., 93, 271-297 (1972) · Zbl 0277.35012 · doi:10.1007/BF02412025 [2] Benci, V.; Fortunato, D., Some compact embedding theorems for weighted Sobolev spaces, Boll. U.M.I., 13-B, 832-843 (1976) · Zbl 0382.46018 [3] Benci, V.; Fortunato, D., Discreteness conditions of the spectrum of Schrödinger operators, J. Math. Analysis and Appl., 64, 695-700 (1978) · Zbl 0389.35016 · doi:10.1016/0022-247X(78)90013-6 [4] Berger, M. S.; Schechter, M., Embedding theorems and quasilinear elliptic boundary value problems for unbounded domains, Trans. of the A.M.S., 172, 261-278 (1972) · Zbl 0253.35038 · doi:10.2307/1996347 [5] Brezis, H., Equations et inequations non lineaires dans les espaces vectoriels en dualiét, Ann. Inst. Fourier, Grenoble, 18, 115-175 (1968) · Zbl 0169.18602 [6] D. E. Edmund - W. D. Evans,Elliptic and degenerate elliptic operators in unbounded domains, Ann. Scuola Norm. Sup. di Pisa, III,27, pp. 592-640. · Zbl 0298.35027 [7] Edmund, D. E.; Webb, J. R. L., Quasi linear elliptic problems in unbounded domains, Proc. R. Soc. Lond., A 334, 397-410 (1975) · Zbl 0263.35034 [8] Hanouzet, B., Espace de Soblev avec poids; applications au problem de Dirichlet dans un demi espace, Rend. Sem. Mat. Univ. Padova, 56, 227-272 (1971) · Zbl 0247.35041 [9] P. Hess,Nonlinear elliptic problems in unbounded domains, to appear in « Abhandlungen der Akademie der Wissenschaften der DDR ». · Zbl 0367.35021 [10] Lions, J. L., Quelques methodes de resolution des problems aux limites non linearies (1969), Gauthier-Villars: Dunod, Gauthier-Villars · Zbl 0189.40603 [11] C. Parenti,Operatori pseudo-differenziali in R^n ed applicazioni, Ann. Mat. pura ed appl., (1972), pp. 359-389. · Zbl 0291.35070 [12] M. M. Vainberg,Variational methods for the study of non linear operators, Holden-Day, Inc. (1964). · Zbl 0122.35501 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.