Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity-Reference-Cited by-同舟云学术

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Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity

Published:2018-10-23 Issue:1 Volume:2018 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Xiao Qizhen,Liu Hongliang,Ouyang Zigen

Funder

Hunan Provincial Education Department

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-018-1782-9.pdf

Reference33 articles.

1. Bartsch, T., Pankov, A., Wang, Z.: Nonlinear Schrödinger equations with steep potential well. Commun. Contemp. Math. 3, 549–569 (2001)

2. Bartsch, T., Tang, Z.: Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential. Discrete Contin. Dyn. Syst. 33, 7–26 (2013)

3. Bartsch, T., Wang, Z.: Existence and multiplicity results for some superlinear elliptic problems on R N $\mathbb{R}^{N}$ . Commun. Partial Differ. Equ. 20, 1725–1741 (1995)

4. Berchio, E., Gozzola, F., Mitidieri, E.: Positively preserving property for a class of biharmonic elliptic problems. J. Differ. Equ. 229, 1–23 (2006)

5. Brezis, H., Lieb, E.H.: A relation between pointwise convergence of functions and convergence functionals. Proc. Am. Math. Soc. 8, 486–490 (1983)

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