Positiveness of nonnegative supersolutions of elliptic equations
HTML articles powered by AMS MathViewer
- by Xi Ting Liang and Ming Qi Yu PDF
- Proc. Amer. Math. Soc. 111 (1991), 731-742 Request permission
Abstract:
We prove the positiveness of the nonnegative supersolutions of equation (1), provided that the solutions are nontrivial whenever the structure condition (2) is fulfilled by ${\mathbf {A}}$ and $B$.References
- James Serrin, Local behavior of solutions of quasi-linear equations, Acta Math. 111 (1964), 247–302. MR 170096, DOI 10.1007/BF02391014
- Neil S. Trudinger, On Harnack type inequalities and their application to quasilinear elliptic equations, Comm. Pure Appl. Math. 20 (1967), 721–747. MR 226198, DOI 10.1002/cpa.3160200406 Yu Mingqi and Liang Xiting, The Harnack inequality for nonnegative generalized solutions of quasilinear elliptic equations, J. Shanxi Univ. 12 (1989), 1-8.
- Xi Ting Liong, Positiveness of nonnegative generalized solutions of quasilinear elliptic equations, Qufu Shifan Daxue Xuebao Ziran Kexue Ban 13 (1987), no. 3, 161–169 (Chinese, with English summary). MR 921198
- Xi Ting Liang, The maximum principle for generalized solutions of quasilinear elliptic equations, Acta Sci. Natur. Univ. Sunyatseni 3 (1988), 107–112 (Chinese, with English summary). MR 994464 O. A. Ladyzenskaja, V. A. Solonnikov, and H. H. Ural’ceva, Linear and quasilinear equations of parabolic type, Translations of Mathematical Monographs 23, American Mathematical Society, Providence, R.I., 1968.
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 731-742
- MSC: Primary 35B05; Secondary 35J60, 35J85
- DOI: https://doi.org/10.1090/S0002-9939-1991-1087007-3
- MathSciNet review: 1087007