References
- Floer A , Weinstein A . Nonspreading wave pockets for the cubic Schrödinger equation with a bounded potential. J Funct Anal. 1986;69:397–408.
- Rabinowitz P . On a class of nonlinear Schrödinger equations. Z Angew Math Phys. 1992;43:270–291.
- Ambrosetti A , Badiale M , Cingolani S . Semiclassical states of nonlinear Schrödinger equations. Arch Rat Mech Anal. 1997;140:285–300.
- Ambrosetti A , Malchiodi A , Secchi S . Multiplicity results for some nonlinear Schrödinger equations with potentials. Arch Rat Mech Anal. 2001;159:253–271.
- Byeon J , Wang Z-Q . Standing waves with a critical frequency for nonlinear Schrödinger equations. Arch Rat Mech Anal. 2002;165:295–316.
- Byeon J , Wang Z-Q . Standing waves with a critical frequency for nonlinear Schrödinger equations II. Calc Var PDEs. 2003;18:207–219.
- Byeon J . Singularly rerturbed nonlinear Dirichlet problems with a general nonlinearity. Trans Amer Math Soc. 2010;362:1981–2001.
- Del Pino M , Felmer P . Local mountain passes for semilinear elliptic problems in unbounded domains. Calc Var PDEs. 1996;4:121–137.
- Del Pino M , Felmer P . Multi-peak bound states for nonlinear Schrödinger equations. Ann Inst H Poincaré Anal Non Linéaire. 1998;15:127–149.
- Kang X , Wei J . On interacting bumps of semi-classical states of nonlinear Schrödinger equations. Adv Differ Equ. 2000;5:899–928.
- Oh Y-G . On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential. Commun Math Phys. 1990;131:223–253.
- Wang X . On concentration of positive bound states of nonlinear Schrödinger equations. Commun Math Phys. 1993;153:229–244.
- Alves C , Soares S . On the location and profile of spike-layer nodal solutions to nonlinear Schrödinger equations. J Math Anal Appl. 2004;296:563–577.
- Bartsch T , Clapp M , Weth T . Configuration spaces, transfer and 2-nodal solutions of semiclassical nonlinear Schrödinger equation. Math Ann. 2007;338:147–185.
- Chen S , Wang Z-Q . Localized nodal solutions of higher topological type for semiclassical nonlinear Schrödinger equations. Calc Var. 2017;56:1. DOI:10.1007/s00526-016-1094-4
- D’Aprile T , Pistoia A . On the number of sign-changing solutions of a semiclassical nonlinear Schrödinger equation. Adv Differ Equ. 2007;f12:737–758.
- D’Aprile T , Pistoia A . Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation. Ann Inst H Poincaré Anal Non Linéaire. 2009;26:1423–1451.
- D’Aprile T , Ruiz D . Positive and sign-changing clusters around saddle points of the potential for nonlinear elliptic problems. Math Z. 2011;268:605–634.
- Fei M . Sign-changing multi-peak solutions for nonlinear Schrödinger equations with compactly supported potential. Acta Appl Math. 2013;127:137–154.
- Zhang J , Chen Z , Zou W . Standing wave for nonlinear Schröding equations involving critical growth. J London Math Soc. 2014;90:827–844.
- Zhang J , Zou W . Solutions concentrating around the saddle points of the potential for critical Schrödinger equations. Calc Var PDEs. 2015;54:4119–4142.
- Zhang J , Zou W . A Berestycki--Lion theorem revisited. Commun Contemp Math. 2012;14:1250033. 14 p.
- Byeon J , Zhang J , Zou W . Singularly perturbed nonlinear Dirichlet problems involving critical growth. Calc Var PDEs. 2013;47:65–85.
- Huang Y , Wu T-F , Wu Y . Multiple positive solutions for a class of concave-convex elliptic problems in ℝ N involving sign-changing weight, II. Commun Contem Math. 2015;17:1450045. 35 p.
- Gidas B , Ni W-M , Nirenberg L . Symmetry of positive solutions of nonlinear elliptic equations in ℝ n . In: Mathematical analysis and applications, part A. Vol. 7A, Adv. Math. Suppl. Stud. New York (NY): Academic Press; 1981. p. 369–402.
- Li Y , Ni W-M . Radial symmetry of positive solutions of nonlinear elliptic equations in ℝ n . Commun PDEs. 1993;18:1043–1054.
- Willem M . Minimax theorems. Boston: Birkhäuser; 1996.
- Wu Y . Least energy sign-changing solutions of the singularly perturbed Brezis--Nirenberg problem, preprint.