@article{AIHPC_2009__26_4_1099_0,
author = {Damascelli, Lucio and Farina, Alberto and Sciunzi, Berardino and Valdinoci, Enrico},
title = {Liouville {Results} for $m${-Laplace} {Equations} of {Lane-Emden-Fowler} {Type}},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {1099--1119},
year = {2009},
publisher = {Elsevier},
volume = {26},
number = {4},
doi = {10.1016/j.anihpc.2008.06.001},
zbl = {1172.35405},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2008.06.001/}
}
TY - JOUR AU - Damascelli, Lucio AU - Farina, Alberto AU - Sciunzi, Berardino AU - Valdinoci, Enrico TI - Liouville Results for $m$-Laplace Equations of Lane-Emden-Fowler Type JO - Annales de l'I.H.P. Analyse non linéaire PY - 2009 SP - 1099 EP - 1119 VL - 26 IS - 4 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2008.06.001/ DO - 10.1016/j.anihpc.2008.06.001 LA - en ID - AIHPC_2009__26_4_1099_0 ER -
%0 Journal Article %A Damascelli, Lucio %A Farina, Alberto %A Sciunzi, Berardino %A Valdinoci, Enrico %T Liouville Results for $m$-Laplace Equations of Lane-Emden-Fowler Type %J Annales de l'I.H.P. Analyse non linéaire %D 2009 %P 1099-1119 %V 26 %N 4 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2008.06.001/ %R 10.1016/j.anihpc.2008.06.001 %G en %F AIHPC_2009__26_4_1099_0
Damascelli, Lucio; Farina, Alberto; Sciunzi, Berardino; Valdinoci, Enrico. Liouville Results for $m$-Laplace Equations of Lane-Emden-Fowler Type. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 4, pp. 1099-1119. doi: 10.1016/j.anihpc.2008.06.001
[1] , Local and Global Behavior of Solutions of Quasilinear Equations of Emden-Fowler Type, Arch. Rational Mech. Anal. 107 (4) (1989) 293-324. | Zbl | MR
[2] , , Nonlinear Elliptic Equations on Compact Riemannian Manifolds and Asymptotics of Emden Equations, Invent. Math. 106 (3) (1991) 489-539. | Zbl | MR | EuDML
[3] D. Castorina, P. Esposito, B. Sciunzi, Degenerate elliptic equations with singular nonlinearities, preprint. | Zbl | MR
[4] , , Classification of Solutions of Some Nonlinear Elliptic Equations, Duke Math. J. 63 (3) (1991) 615-622. | Zbl | MR
[5] , , A Strong Comparison Principle for Positive Solutions of Degenerate Elliptic Equations, Differential Integral Equations 13 (4-6) (2000) 721-746. | Zbl | MR
[6] , , Symmetry of Solutions of P-Laplace Equations in , Adv. Nonlinear Stud. 1 (1) (2001) 40-64. | Zbl | MR
[7] , , Regularity, Monotonicity and Symmetry of Positive Solutions of M-Laplace Equations, J. Differential Equations 206 (2) (2004) 483-515. | Zbl | MR
[8] , , Harnack Inequalities, Maximum and Comparison Principles, and Regularity of Positive Solutions of M-Laplace Equations, Calc. Var. Partial Differential Equations 25 (2) (2006) 139-159. | MR
[9] , Some Notes on the Method of Moving Planes, Bull. Austral. Math. Soc. 46 (3) (1992) 425-434. | Zbl | MR
[10] , , , On the Regularity of Solutions in the Pucci-Serrin Identity, Calc. Var. Partial Differential Equations 18 (3) (2003) 317-334. | Zbl | MR
[11] , Local Regularity of Weak Solutions of Degenerate Elliptic Equations, Nonlinear Anal. 7 (8) (1983) 827-850. | Zbl | MR
[12] , , Existence and Nonexistence Results for Semilinear Elliptic Problems in Unbounded Domains, Proc. Roy. Soc. Edinburgh Sect. A 93 (1-2) (1982/83) 1-14. | Zbl | MR
[13] , Further Studies of Emden's and Similar Equations, Quart. J. Math. Oxford Ser. 2 2 (1931) 259-288. | Zbl
[14] , Liouville-Type Results for Solutions of on Unbounded Domains of , C. R. Math. Acad. Sci. Paris, Ser. I 341 (7) (2005) 415-418. | MR
[15] , On the Classification of Solutions of the Lane-Emden Equation on Unbounded Domains of , J. Math. Pures Appl. 87 (5) (2007) 537-561. | Zbl | MR
[16] A. Farina, B. Sciunzi, E. Valdinoci, Bernstein and De Giorgi type problems: New results via a geometric approach, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2008), in press. | Zbl | MR | Numdam
[17] , , Global and Local Behavior of Positive Solutions of Nonlinear Elliptic Equations, Comm. Pure Appl. Math. 34 (4) (1981) 525-598. | Zbl | MR
[18] , , Global a Priori Bounds for Positive Solutions of Nonlinear Elliptic Equations, Comm. Partial Differential Equations 6 (8) (1981) 883-901. | Zbl | MR
[19] , , Quasilinear Dirichlet Problems Driven by Positive Sources, Arch. Rational Mech. Anal. 49 (1-2) (1972/73) 241-269. | Zbl | MR
[20] , , Boundary Value Problems for Some Degenerate-Elliptic Operators, Ann. Mat. Pura Appl. (4) 80 (1968) 1-122. | Zbl | MR
[21] , Boundary Regularity for Solutions of Degenerate Elliptic Equations, Nonlinear Anal. 12 (11) (1988) 1203-1219. | Zbl | MR
[22] , On the Eigenfunctions of the Equation , Dokl. Akad. Nauk SSSR 165 (1965) 36-39. | Zbl | MR
[23] , , A General Variational Identity, Indiana Univ. Math. J. 35 (3) (1986) 681-703. | Zbl | MR
[24] , , The Strong Maximum Principle Revisited, J. Differential Equations 196 (1) (2004) 1-66. | Zbl | MR
[25] , Local Behavior of Solutions of Quasi-Linear Elliptic Equations, Acta Math. 111 (1964) 247-302. | Zbl | MR
[26] , , Cauchy-Liouville and Universal Boundedness Theorems for Quasilinear Elliptic Equations and Inequalities, Acta Math. 189 (2002). | Zbl | MR
[27] , Regularity for a More General Class of Quasilinear Elliptic Equations, J. Differential Equations 51 (1984) 126-150. | Zbl | MR
[28] , A Strong Maximum Principle for Some Quasilinear Elliptic Equations, Appl. Math. Optim. (1984) 191-202. | Zbl | MR
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