@article{AIHPC_2009__26_4_1277_0, author = {Allain, Genevi\`eVe and Beaulieu, Anne}, title = {Singly Periodic Solutions of a Semilinear Equation}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {26}, year = {2009}, pages = {1277-1297}, doi = {10.1016/j.anihpc.2008.10.001}, mrnumber = {2542725}, zbl = {1172.35375}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2009__26_4_1277_0} }
Allain, GenevièVe; Beaulieu, Anne. Singly Periodic Solutions of a Semilinear Equation. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) pp. 1277-1297. doi : 10.1016/j.anihpc.2008.10.001. http://gdmltest.u-ga.fr/item/AIHPC_2009__26_4_1277_0/
[1] The Role of Mean Curvature in a Semilinear Neumann Problem Involving the Critical Sobolev Exponent, Comm. Partial Differential Equations 20 (3-4) (1995) 591-631. | MR 1318082 | Zbl 0847.35047
, , ,[2] High Frequency Periodic Solutions of Semilinear Equations, C. R. Acad. Sci. Paris, Ser. I 345 (2007). | MR 2361502 | Zbl 1127.35011
, ,[3] A Few Symmetry Results for Nonlinear Elliptic PDE on Noncompact Manifolds, Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (3) (2002) 313-342. | Numdam | MR 1956953 | Zbl 1029.35096
, , ,[4] Singularly Perturbed Elliptic Equations With Symmetry: Existence of Solutions Concentrating on Spheres II, Indiana Univ. Math. J. 53 (2) (2004) 297-329. | MR 2056434 | Zbl 1081.35008
, , ,[5] On the Method of Moving Plane and the Sliding Method, Bol. Soc. Bras. Mat. 22 (1991) 1-39. | MR 1159383 | Zbl 0784.35025
, ,[6] Analytic Theory of Global Bifurcation. an Introduction, Princeton Series in Applied Mathematics, Princeton University Press, Princeton, NJ, 2003. | MR 1956130 | Zbl 1021.47044
, ,[7] Eigenfunctions and Nodal Sets, Comment. Math. Helv. 51 (1976) 43-55. | MR 397805 | Zbl 0334.35022
,[8] Methods of Mathematical Physics, I, Interscience, 1962. | Zbl 0099.29504
, ,[9] Bifurcation From Simple Eigenvalues, J. Funct. Anal. 8 (1973) 161-180. | MR 341212 | Zbl 0275.47044
, ,[10] New Solutions of Equations on , Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) XXX (2001) 535-563. | Numdam | MR 1896077 | Zbl 1025.35009
,[11] Multipeak Solutions for a Singularly Perturbed Neumann Problem, Pacific J. Math. 189 (2) (1999) 241-261. | MR 1696122 | Zbl 0933.35070
, ,[12] Supercritical Boundary Bubbling in a Semilinear Neumann Problem, Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (1) (2005) 45-82. | Numdam | MR 2114411 | Zbl 1130.35064
, , ,[13] Symmetry of Positive Solutions of Nonlinear Elliptic Equations in , in: Mathematical Analysis and Applications, Part a, Adv. Math. Suppl. Studies, vol. 7A, Academic Press, New York, 1981, pp. 369-402. | MR 634248 | Zbl 0469.35052
, , ,[14] Elliptic Partial Differential Equations of Second Order, second ed., Springer-Verlag, Berlin, 1983. | MR 737190 | Zbl 0562.35001
, ,[15] Uniqueness of Positive Solutions of in , Arch. Rational Mech. Anal. 105 (3) (1989) 243-266. | MR 969899 | Zbl 0676.35032
,[16] Boundary Concentration Phenomena for a Singularly Perturbed Elliptic Problem, Comm. Pure Appl. Math. LV (2002) 1507-1568. | MR 1923818 | Zbl 1124.35305
, ,[17] Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, 1967. | MR 219861 | Zbl 0153.13602
, ,[18] Topics in Stability and Bifurcation Theory, Lecture Notes in Math., vol. 309, Springer-Verlag, 1973. | MR 463624 | Zbl 0248.35003
,[19] Some Aspects of Nonlinear Eigenvalue Problems, Rocky Mountain J. Math. 3 (2) (1973) 161-202. | MR 320850 | Zbl 0255.47069
,[20] Fredholm Property of General Elliptic Problems, Trans. Moscow Math. Soc. (2006) 127-197. | MR 2301593 | Zbl pre05171130
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