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Mathematical Publications and Theses of Nils Ackermann

[14]
N. Ackermann, Long-time dynamics in semilinear parabolic problems with autocatalysis, Recent progress on reaction-diffusion systems and viscosity solutions (Y. Du, H. Ishii, and W.Y. Lin, eds.), World Sci. Publ., Hackensack, NJ, 2009, pp. 1-30. [ .html ]
[13]
N. Ackermann, Solution set splitting at low energy levels in Schrödinger equations with periodic and symmetric potential, J. Differential Equations 246 (2009), no. 4, 1470-1499. [ DOI ]
[12]
N. Ackermann, T. Bartsch, P. Kaplický, and P. Quittner, A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems, Trans. Amer. Math. Soc. 360 (2008), no. 7, 3493-3539. [ DOI | .pdf ]
[11]
N. Ackermann, T. Bartsch, and P. Kaplický, An invariant set generated by the domain topology for parabolic semiflows with small diffusion, Discrete Contin. Dyn. Syst. 18 (2007), no. 4, 613-626. [ http | .pdf ]
[10]
N. Ackermann, A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations, J. Funct. Anal. 234 (2006), no. 2, 277-320. [ DOI ]
[9]
N. Ackermann, An abstract approach to multibump solutions of periodic Schrödinger equations and applications, Nonlin. Anal. 63 (2005), e1031-e1037. [ DOI ]
[8]
N. Ackermann and T. Bartsch, Superstable manifolds of semilinear parabolic problems, J. Dynam. Differential Equations 17 (2005), no. 1, 115-173. [ .pdf ]

The original publication is available at springerlink.com (© Springer-Verlag Berlin Heidelberg)

[7]
N. Ackermann and T. Weth, Multibump solutions of nonlinear periodic Schrödinger equations in a degenerate setting, Commun. Contemp. Math. 7 (2005), no. 3, 269-298. [ DOI ]
[6]
N. Ackermann, A Cauchy-Schwarz type inequality for bilinear integrals on positive measures, Proc. Amer. Math. Soc. 133 (2005), no. 9, 2647-2656 (electronic). [ DOI | .pdf ]
[5]
N. Ackermann, On a periodic Schrödinger equation with nonlocal superlinear part, Math. Z. 248 (2004), no. 2, 423-443. [ .pdf ]

The original publication is available at springerlink.com (© Springer-Verlag Berlin Heidelberg)

[4]
N. Ackermann, On the multiplicity of sign changing solutions to nonlinear periodic Schrödinger equations, Topological methods, variational methods and their applications (Taiyuan, 2002), World Sci. Publishing, River Edge, NJ, 2003, pp. 1-9. [ .html ]
[3]
N. Ackermann, Lokalisierung der niederenergetischen Lösungen eines singulär gestörten elliptischen Neumann-Problems mittels der Geometrie des Gebietsrandes, Ph.D. thesis, Universität Giessen, Germany, 1999. [ http ]
[2]
N. Ackermann, Multiple single-peaked solutions of a class of semilinear Neumann problems via the category of the domain boundary, Calc. Var. Partial Differential Equations 7 (1998), no. 3, 263-292. [ DOI ]
[1]
N. Ackermann, Die Anzahl positiver Lösungen bei semilinearen elliptischen Neumann-Problemen, Master's thesis, Universität Karlsruhe, Germany, 1995.

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