@article{AIHPC_1994__11_3_313_0, author = {Pinchover, Yehuda}, title = {On positive Liouville theorems and asymptotic behavior of solutions of fuchsian type elliptic operators}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {11}, year = {1994}, pages = {313-341}, mrnumber = {1277898}, zbl = {0837.35010}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1994__11_3_313_0} }
Pinchover, Yehuda. On positive Liouville theorems and asymptotic behavior of solutions of fuchsian type elliptic operators. Annales de l'I.H.P. Analyse non linéaire, Tome 11 (1994) pp. 313-341. http://gdmltest.u-ga.fr/item/AIHPC_1994__11_3_313_0/
[1] On positivity and Decay of Second Order Elliptic Equations on Riemannian Manifolds, Methods of Functional Analysis and Theory of Elliptic Equations, D. GRECO, Ed., Liguori, Naples, 1982, pp. 19-52. | MR 819005 | Zbl 0595.58044
,[2] Uniform Estimates for Regularization of Free Boundary Problems, Analysis and Partial Differential Equations, C. SADOSKY Ed., Marcel DECKER, 1990, pp. 567-619. | MR 1044809 | Zbl 0702.35252
, and ,[3] Asymptotic Behaviour via the Harnack Inequality, Nonlinear Analysis, a Tribute in Honor of Giovanni Prodi, Scuola Normale Superiore, Pisa, 1991, pp. 135-144. | MR 1205378 | Zbl 0840.35011
and ,[4] Singular Solutions for Some Semilinear Equations, Archive. Rational Mech. Anal., Vol. 99, 1987, pp. 249-259. | MR 888452 | Zbl 0635.35035
and ,[5] Removable Singularities for Some Nonlinear Elliptic Equations, Archive. Rational Mech. Anal., Vol. 75, 1980, pp. 1-6. | MR 592099 | Zbl 0459.35032
and ,[6] Boundary Behavior of Nonnegative Solutions of Elliptic Operators in Divergence Form, Indiana Univ. Math. J., Vol. 30, 1981, pp. 621-640. | MR 620271 | Zbl 0512.35038
, , and ,[7] Partial Differential Equations III, Encyclopedia of Mathematical Sciences, Vol. 32, Springer-Verlag, Berlin, 1991. | MR 1133472 | Zbl 0741.00025
and (eds.),[8] On Isolated Singularities of Solutions of Second Order Elliptic Differential equations, J. Analyse Math., Vol. 4, 1956, pp. 309-340. | MR 81416 | Zbl 0071.09701
and ,[9] Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer-Verlag, Berlin, 1983. | MR 737190 | Zbl 0562.35001
and ,[10] Picard Principle for Linear Elliptic Differential Operators, Hiroshima Math. J., Vol. 14, 1984, pp. 527-535. | MR 772983 | Zbl 0571.35026
,[11] Martin's Boundary for Elliptic Operators in Rn, Izv. Vysš. Učebn. Zaved. Matematika, Vol. 8, 1980, pp. 39-45 (Russian). | Zbl 0455.35043
,[12] Positive Solutions of Second Order Elliptic Equations in Unbounded Domains, Math. USSR Sbornik, Vol. 54, 1986, pp. 129-134. | Zbl 0621.35038
and ,[13] Isolated Singularities and Positive Solutions of Elliptic Equations in Rn, Proc. Japan Acad., Vol. 63, Ser. A, 1987, pp. 146-148. | MR 906979 | Zbl 0652.35026
,[14] Structure of Positive Solutions to (-Δ+V)u=0 in Rn, Duke Math. J., Vol. 53, 1986, pp. 869-943. | MR 874676 | Zbl 0624.35023
,[15] On construction of Martin Boundaries for Second Order Elliptic Equations, Publ. RIMS, Kyoto Univ., Vol. 26, 1990, pp. 585-627. | MR 1081506 | Zbl 0726.31009
,[16] Martin Boundary Over an Isolated Singularity of Rotation Free Density, J. Math. Soc. Japan, Vol. 26, 1974, pp. 483-507. | MR 361119 | Zbl 0281.30012
,[17] Picard Principle and Riemann Theorem, Tôhoku Math. J. Second Ser., Vol. 28, 1976, pp. 277-292. | MR 409857 | Zbl 0335.35036
,[18] On Positive Solutions of Second-Order Elliptic Equations, Stability Results and Classification, Duke Math. J., Vol. 57, 1988, pp. 955-980. | MR 975130 | Zbl 0685.35035
,[19] On the Equivalence of Green Functions of Second Order Elliptic Equations in Rn, Differential and Integral Equations, Vol. 5, 1992, pp. 481-493. | MR 1157482 | Zbl 0772.35015
,[20] A Probabilistic Approach to a Theorem of Gilbarg and Serrin, Israel J. Math., Vol. 74, 1991, pp. 1-12. | MR 1135225 | Zbl 0756.35021
,[21] A New Approach to the Martin Boundary via Diffusions Conditioned to Hit a Compact Set, Ann. Prob., 1993. | MR 1207233 | Zbl 0777.60075
,[22] Local Behaviour of Solutions of Quasilinear Equations, Acta Math., Vol. 111, 1964, pp. 247-302. | MR 170096 | Zbl 0128.09101
,[23] Isolated Singularities of Solutions of Quasilinear Equations, Acta Math., Vol. 113, 1965, pp. 219-240. | MR 176219 | Zbl 0173.39202
,[24] Isolated Singularities of Solutions of Linear Elliptic Equations, Amer. J. Math., Vol. 88, 1966, pp. 258-272. | MR 201815 | Zbl 0137.07001
and ,[25] On the Martin Compactification of a Bounded Lipschitz Domain in a Riemannian Manifold, Ann. Inst. Fourier, Vol. 28, 1978, pp. 25-52. | Numdam | MR 486580 | Zbl 0363.31010
,[26] Schrödinger Equations with Unique Positive Isolated Singularities, Manuscripta Math., Vol. 67, 1990, pp. 143-163. | MR 1042235 | Zbl 0723.35025
and ,[27] Limit Behaviour of Singular Solutions of Some Semilinear Elliptic Equations, Partial Differential Equations, Banach Center Publications, Vol. 19, PWN-Polish Scientific Publishers, Warsaw, 1987, pp. 311-350. | MR 1055181 | Zbl 0661.35027
,[28] Isolated Singularities for Sublinear Elliptic Equations, Comm. Partial Differential Equations, Vol. 15, 1990, pp. 1361-1379. | MR 1077470 | Zbl 0726.35042
,[29] Subcriticality and gaugeability of the Schrödinger Operator, Trans. Amer. Math. Soc., Vol. 334, 1992, pp. 75-96. | MR 1068934 | Zbl 0765.60063
,