Multi-peak bound states for nonlinear Schrödinger equations

 Access to full text

 Full (PDF)

1. [1] C.C. Chen and C.S. Lin, Uniqueness of the ground state solutions of Δu + f(u) = 0 in RN, N > 3 . Comm. in P.D.E.16. Vol. 8–9, 1991, pp. 1549-1572. Zbl0753.35034MR1132797
2. [2] V. Coti Zelati and P. Rabinowitz, Homoclinic type solutions for semilinear elliptic PDE on RN'. Comm. Pure and Applied Math, Vol. XLV, 1992, pp. 1217-1269. Zbl0785.35029MR1181725
3. [3] M. Del Pino and P. Felmer, Local mountain passes for semilinear elliptic problems in unbounded domains. Calculus of Variations and PDE, Vol. 4, 1996. pp. 121-137. Zbl0844.35032MR1379196
4. [4] M.J. Esteban and P.L. LionsExistence and non-existence results for semilinear problems in unbounded domains. Proc. Roy. Soc. Edin., Vol. 93A, 1982, pp. 1-14. Zbl0506.35035MR688279
5. [5] A. Floer and A. Weinstein, Nonspreading Wave Packets for the Cubic Schrödinger Equation with a Bounded Potential, Journal of Functional analysis, Vol. 69, 1986, pp. 397-408. Zbl0613.35076MR867665
6. [6] M.K. Kwong and L. Zhang, Uniqueness of positive solutions of Δu + f(u) = 0 in an annulusDifferential and Integral Equations , Vol. 4, 1991, pp. 583-599. Zbl0724.34023MR1097920
7. [7] P.L. Lions, The concentration-compactness principle in the calculus of variations. The locally compact case. Part IIAnalyse Nonlin., Vol. 1, 1984, pp. 223-283. Zbl0704.49004MR778974
8. [8] Y.J. Oh, Existence of semi-classical bound states of nonlinear Schrödinger equations with potential on the class (V)a. Comm. Partial Diff., Eq. Vol. 13, 1988, pp. 1499-1519. Zbl0702.35228
9. [9] Y.J. Oh, Corrections to Existence of semi-classical bound states of nonlinear Schrödinger equations with potential on the class (V)a., Comm. Partial Diff. Eq. Vol. 14, 1989, pp. 833-834. Zbl0714.35078
10. [10] Y.J. Oh, On positive multi-lump bound states nonlinear Schrödinger equations under multiple well potential. Comm. Math. Phys., Vol. 131, 1990, pp. 223-253. Zbl0753.35097MR1065671
11. [111 P. Rabinowitz, On a class of nonlinear Schrödinger equations, Z. angew Math Phys, Vol. 43, 1992, pp. 270-291. Zbl0763.35087MR1162728
12. [12] G. Spradlin, Ph. D. ThesisUniversity of Wisconsin, 1994. 
13. [13] N. Thandi, Ph. D. ThesisUniversity of Wisconsin, 1995. 
14. [14] X. Wang, On concentration of positive bound states of nonlinear Schrödinger equations. Comm. Math. Phys., Vol. 153, No 2, 1993, pp. 229-244. Zbl0795.35118MR1218300

1. Kimie Nakashima, Kazunaga Tanaka, Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
2. Silvia Cingolani, Louis Jeanjean, Simone Secchi, Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
3. Silvia Cingolani, Louis Jeanjean, Simone Secchi, Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions
4. Teresa D'Aprile, Angela Pistoia, Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation
5. Huirong Pi, Chunhua Wang, Multi-bump solutions for nonlinear Schrödinger equations with electromagnetic fields
6. Teresa D'Aprile, Juncheng Wei, Clustered solutions around harmonic centers to a coupled elliptic system
7. Silvia Cingolani, Metodi variazionali e topologici nello studio delle equazioni di Schrödinger nonlineari agli stati stazionari
8. Francesca Alessio, Piero Montecchiari, Multibump solutions for a class of lagrangian systems slowly oscillating at infinity
9. Francesca Alessio, Paolo Caldiroli, Piero Montecchiari, On the existence of infinitely many solutions for a class of semilinear elliptic equations in ${\mathbb{R}}^N$
10. Francesca Alessio, Paolo Caldiroli, Piero Montecchiari, Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in ${ℝ}^N$