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Nonexistence theorems for singular solutions of quasilinear partial differential equations

1986; Wiley; Volume: 39; Issue: 3 Linguagem: Inglês

10.1002/cpa.3160390306

1097-0312

Wei‐Ming Ni, James Serrin,

Differential Equations and Boundary Problems

Communications on Pure and Applied MathematicsVolume 39, Issue 3 p. 379-399 Article Nonexistence theorems for singular solutions of quasilinear partial differential equations Wei-Ming Ni, Wei-Ming Ni University of MinnesotaSearch for more papers by this authorJames Serrin, James Serrin University of MinnesotaSearch for more papers by this author Wei-Ming Ni, Wei-Ming Ni University of MinnesotaSearch for more papers by this authorJames Serrin, James Serrin University of MinnesotaSearch for more papers by this author First published: May 1986 https://doi.org/10.1002/cpa.3160390306Citations: 89AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Bibliography 1 Franchi, B., Lanconelli, E., and Serrin, J., Uniqueness of positive solutions of quasilinear equations in Rn, in preparation. 2 Gidas, B., Ni, W.-M., and Nirenberg, L., Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68, 1979, pp. 209– 243. 3 Gidas, B., Ni, W.-M., and Nirenberg, L., Symmetry of positive solutions of nonlinear elliptic equations in R, Advances in Math. Suppl. Studies 7A, 1981, pp. 369– 402. 4 Ni, W.-M., and Sacks, P., Singular behavior in nonlinear parabolic equations, Trans. Amer. Math. Soc., 287, 1985, pp. 657– 671. 5 Ni, W.-M., and Serrin, J., Non-existence theorems for quasilinear partial differential equations, Rendiconti. Circolo Mat. Palermo, Centenary Supplement, to appear. 6 Ni, W.-M., and Serrin, J., Existence and non-existence theorems for ground states for quasilinear partial differential equations, to appear, Accad. Naz. dei Lincei. Citing Literature Volume39, Issue3May 1986Pages 379-399 ReferencesRelatedInformation