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On positive solutions of second-order elliptic equations, stability results, and classification
Yehuda Pinchover
Source: Duke Math. J. Volume 57, Number 3
(1988), 955-980.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077307221
Mathematical Reviews number (MathSciNet): MR975130
Zentralblatt MATH identifier: 0685.35035
Digital Object Identifier: doi:10.1215/S0012-7094-88-05743-2
References
[1] S. Agmon, On positivity and decay of solutions of second order elliptic equations on Riemannian manifolds, Methods of Functional Analysis and Theory of Elliptic Equations (Naples, 1982) ed. D, Greco, Liguori, Naples, 1983, pp. 19–52.
Mathematical Reviews (MathSciNet): MR87b:58087
Zentralblatt MATH: 0595.58044
[2] S. Agmon, On positive solutions of elliptic equations with periodic coefficients in $\bf R\sp n$, spectral results and extensions to elliptic operators on Riemannian manifolds, Differential equations (Birmingham, Ala., 1983), North-Holland Math. Stud., vol. 92, North-Holland, Amsterdam, 1984, pp. 7–17.
Mathematical Reviews (MathSciNet): MR87a:35060
Zentralblatt MATH: 0564.35033
[3] W. Allegretto, Criticality and the $\lambda$-property for the elliptic equations, J. Differential Equations 69 (1987), no. 1, 39–45.
Mathematical Reviews (MathSciNet): MR88k:35010
Zentralblatt MATH: 0619.35031
Digital Object Identifier: doi:10.1016/0022-0396(87)90101-X
[4] A. Ancona, Negatively curved manifolds, elliptic operators, and the Martin boundary, Ann. of Math. (2) 125 (1987), no. 3, 495–536.
Mathematical Reviews (MathSciNet): MR88k:58160
Zentralblatt MATH: 0652.31008
Digital Object Identifier: doi:10.2307/1971409
[5] C. Bessaga and A. Pelczyński, Selected topics in infinite-dimensional topology, PWN—Polish Scientific Publishers, Warsaw, 1975.
Mathematical Reviews (MathSciNet): MR57:17657
Zentralblatt MATH: 0304.57001
[6] M. Brelot, On Topologies and Boundaries in Potential Theory, Lecture Notes in Mathematics, vol. 175, Springer-Verlag, Berlin, 1971.
Mathematical Reviews (MathSciNet): MR43:7654
Zentralblatt MATH: 0222.31014
[7] R.-M. Hervé, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier (Grenoble) 12 (1962), 415–571.
Mathematical Reviews (MathSciNet): MR25:3186
Zentralblatt MATH: 0101.08103
[8] M. Murata, Structure of positive solutions to $(-\Delta+V)u=0$ in $\bf R\sp n$, Duke Math. J. 53 (1986), no. 4, 869–943.
Mathematical Reviews (MathSciNet): MR88f:35039
Zentralblatt MATH: 0624.35023
Digital Object Identifier: doi:10.1215/S0012-7094-86-05347-0
Project Euclid: euclid.dmj/1077305358
[9] Y. Pinchover, Sur les solutions positives d'équations elliptiques et paraboliques dans $\bf R^ n$, C. R. Acad. Sci. Paris Sér. I Math. 302 (1986), no. 12, 447–450.
Mathematical Reviews (MathSciNet): MR88a:35114
Zentralblatt MATH: 0598.35036
[10] Y. Pinchover, Positive solutions of second order elliptic equations, Ph.D. thesis, Hebrew University of Jerusalem, 1986, original in Hebrew.
[11] Y. Pinchover, On positive solutions of elliptic equations with periodic coefficients in unbounded domains, to appear in Maximum Principles and Eigenvalue Problems in Partial Differential Equations, ed. P. W. Schaefer, Pitman Research Notes in Mathematics 175, Longman Press, London.
Mathematical Reviews (MathSciNet): MR963470
Zentralblatt MATH: 0675.35024
[12] B. Simon, Large time behavior of the $L\spp$ norm of Schrödinger semigroups, J. Funct. Anal. 40 (1981), no. 1, 66–83.
Mathematical Reviews (MathSciNet): MR82i:81027
Zentralblatt MATH: 0478.47024
Digital Object Identifier: doi:10.1016/0022-1236(81)90073-2
[13] J. C. Taylor, The Martin boundaries of equivalent sheaves, Ann. Inst. Fourier (Grenoble) 20 (1970), no. fasc. 1, 433–456.
Mathematical Reviews (MathSciNet): MR42:2022
Zentralblatt MATH: 0185.19801
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