@article{AIHPC_2009__26_6_2091_0, author = {Cort\'aZar, Carmen and Garc{\'\i}A-Huidobro, Marta and Yarur, Cecilia S.}, title = {On the {Uniqueness} of the {Second} {Bound} {State} {Solution} of a {Semilinear} {Equation}}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {2091--2110}, publisher = {Elsevier}, volume = {26}, number = {6}, year = {2009}, doi = {10.1016/j.anihpc.2009.01.004}, mrnumber = {2569887}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2009.01.004/} }
TY - JOUR AU - CortáZar, Carmen AU - GarcíA-Huidobro, Marta AU - Yarur, Cecilia S. TI - On the Uniqueness of the Second Bound State Solution of a Semilinear Equation JO - Annales de l'I.H.P. Analyse non linéaire PY - 2009 SP - 2091 EP - 2110 VL - 26 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2009.01.004/ DO - 10.1016/j.anihpc.2009.01.004 LA - en ID - AIHPC_2009__26_6_2091_0 ER -
%0 Journal Article %A CortáZar, Carmen %A GarcíA-Huidobro, Marta %A Yarur, Cecilia S. %T On the Uniqueness of the Second Bound State Solution of a Semilinear Equation %J Annales de l'I.H.P. Analyse non linéaire %D 2009 %P 2091-2110 %V 26 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2009.01.004/ %R 10.1016/j.anihpc.2009.01.004 %G en %F AIHPC_2009__26_6_2091_0
CortáZar, Carmen; GarcíA-Huidobro, Marta; Yarur, Cecilia S. On the Uniqueness of the Second Bound State Solution of a Semilinear Equation. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 6, pp. 2091-2110. doi : 10.1016/j.anihpc.2009.01.004. http://www.numdam.org/articles/10.1016/j.anihpc.2009.01.004/
[1] Non Linear Scalar Fields Equations I. Existence of a Ground State, Arch. Ration. Mech. Anal. 82 (1983) 313-345. | MR | Zbl
, ,[2] Nonexistence of Positive Solutions of Quasilinear Equations, Adv. Differential Equations 2 (3) (1997) 319-359. | MR | Zbl
, ,[3] Uniqueness of the Ground State Solutions of in , , Comm. Partial Differential Equations 16 (1991) 1549-1572. | MR | Zbl
, ,[4] Uniqueness of the Ground State Solution of and a Variational Characterization of Other Solutions, Arch. Ration. Mech. Anal. 46 (1972) 81-95. | MR | Zbl
,[5] A Nonlinear Boundary Value Problem With Many Positive Solutions, J. Differential Equations 54 (1984) 429-437. | MR | Zbl
,[6] On a Semilinear Elliptic Problem in With a Non Lipschitzian Nonlinearity, Adv. Differential Equations 1 (1996) 199-218. | MR | Zbl
, , ,[7] Uniqueness of Positive Solutions of in , , Arch. Ration. Mech. Anal. 142 (1998) 127-141. | MR | Zbl
, , ,[8] On the Uniqueness of Ground State Solutions of a Semilinear Equation Containing a Weighted Laplacian, Comm. Pure. Appl. Anal. 5 (2006) 813-826. | MR | Zbl
, ,[9] Uniqueness Theorems for Positive Solutions of Quasilinear Elliptic Equations in a Ball, J. Differential Equations 138 (1997) 351-379. | MR | Zbl
, ,[10] Existence and Uniqueness of Nonnegative Solutions of Quasilinear Equations in , Adv. Math. 118 (1996) 177-243. | MR | Zbl
, , ,[11] On the Uniqueness of Positive Solutions of a Quasilinear Equation Containing a Weighted P-Laplacian, Comm. Contemp. Math. 10 (2008) 405-432. | MR
, ,[12] Uniqueness of Positive Solutions of , Arch. Ration. Mech. Anal. 105 (1989) 243-266. | MR | Zbl
,[13] Uniqueness of Positive Radial Solutions of in , II, Trans. Amer. Math. Soc. 339 (1993) 495-505. | MR | Zbl
,[14] Uniqueness of Positive Radial Solutions of in , Arch. Ration. Mech. Anal. 99 (1987) 115-145. | MR | Zbl
, ,[15] Radial Solutions of With Prescribed Numbers of Zeros, J. Differential Equations 83 (2) (1990) 368-378. | MR | Zbl
, , ,[16] Uniqueness of Positive Solutions of Quasilinear Equations, Arch. Ration. Mech. Anal. 81 (1983) 181-197. | MR | Zbl
, ,[17] Uniqueness of Nonnegative Solutions of Quasilinear Equations, J. Differential Equations 61 (1986) 380-397. | MR | Zbl
, ,[18] Uniqueness of Ground States for Quasilinear Elliptic Operators, Indiana Univ. Math. J. 47 (1998) 529-539. | MR | Zbl
, ,[19] Uniqueness of Ground States for Quasilinear Elliptic Equations, Indiana Univ. Math. J. 49 (2000) 897-923. | MR | Zbl
, ,[20] The Existence and Uniqueness of Bound State Solutions of a Semilinear Equation, Proc. Roy Soc. A 461 (2005) 2941-2963. | MR
,Cité par Sources :