Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
@article{BUMI_2007_8_10B_3_a37, author = {Dancer, Edward N. and Yan, Shusen}, title = {Remarks on the {Existence} of {Many} {Solutions} of {Certain} {Nonlinear} {Elliptic} {Equations}}, journal = {Bollettino della Unione matematica italiana}, pages = {1013--1023}, publisher = {mathdoc}, volume = {Ser. 8, 10B}, number = {3}, year = {2007}, zbl = {1182.35106}, mrnumber = {2507911}, language = {en}, url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a37/} }
TY - JOUR AU - Dancer, Edward N. AU - Yan, Shusen TI - Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations JO - Bollettino della Unione matematica italiana PY - 2007 SP - 1013 EP - 1023 VL - 10B IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a37/ LA - en ID - BUMI_2007_8_10B_3_a37 ER -
%0 Journal Article %A Dancer, Edward N. %A Yan, Shusen %T Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations %J Bollettino della Unione matematica italiana %D 2007 %P 1013-1023 %V 10B %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a37/ %G en %F BUMI_2007_8_10B_3_a37
Dancer, Edward N.; Yan, Shusen. Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1013-1023. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a37/
[1] Infinite dimensional Morse theory and multiple solution problems, Birkhauser, Boston, 1993. | DOI | MR | Zbl
,[2] On the uniqueness of the positive solution of a singularity perturbed problem, Rocky Mtn. J. Math., 25 (1995), 957-975. | DOI | MR | Zbl
,[3] Stable and finite Morse index solutions on $\mathbb{R}^n$ or on bounded domains with small diffusion, Trans. Amer Math., Soc. 357 (2005), 1225-1243. | DOI | MR | Zbl
,[4] A note on asymptotic uniqueness for some nonlinearities which change sign, Bull Austral Math. Soc., 61 (2000), 305-312. | DOI | MR | Zbl
,[5] On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem, Proc. Royal Soc. (Edinburgh) 127A (1997), 691-701. | DOI | MR | Zbl
- ,[6] On the location of spikes of solutions with two sharp layers for a singularly perturbed semilinear Dirichlet problem, J. Diff. Eqns., 157 (1999), 82-101. | DOI | MR | Zbl
- ,[7] On the superlinear Lazer-McKenna conjecture, J. Diff Eqns., 21 (2005), 317-351. | DOI | MR | Zbl
- ,[8] On the superlinear Lazer-McKenna conjecture Part II, Comm. Partial Diff. Eqns., 30 (2005), 1331-1358. | DOI | MR | Zbl
- ,[9] On the profile of the changing sign mountain pass solution for an elliptic problem, Trans. Amer. Math. Soc., 354 (2002), 3573-3600. | DOI | MR | Zbl
- ,[10] Global and local behaviour of positive solutions of nonlinear elliptic equations, Comm. Pure Appl. Math., 34 (1981), 525-598. | DOI | MR | Zbl
- ,[11] A priori bounds for positive solutions of nonlinear elliptic equations, Comm. Partial Diff. Eqns., 6 (1981), 883-901. | DOI | MR | Zbl
- ,[12] Multiple interior peak solutions for some singularly perturbed Neumann problems, J. Diff. Eqns., 158 (1999), 1-27. | DOI | MR | Zbl
- ,[13] Uniqueness of the positive solutions of $\Delta u + f(u) = 0$ in an annulus, Diff. Integral Eqns., 4 (1991), 583-599. | MR | Zbl
- ,[14] Generic properties of nonlinear boundary value problems, Comm. Partial Diff. Eqns., 4 (1979), 293-319. | DOI | MR | Zbl
- ,[15] Variational methods, Springer, Berlin, 1996. | DOI | MR
,[16] On the construction of single peaked solutions to a singularly perturbed semilinear Dirichlet problem, J. Diff. Eqns., 129 (1996), 315-333. | DOI | MR | Zbl
,[17] On the number of interior multipeak solutions for singularly perturbed Neumann problems, Topological Methods in Nonlinear Analysis, 12 (1999), 61-78. | DOI | MR
,