Journal
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Volume 62, Issue 5, Pages 869-889Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-011-0120-9
Keywords
Positive solutions; Schrodinger; Poisson equation; Variational methods
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Funding
- NSFC [10971238]
- Fundamental Research Funds for the Central Universities [0910KYZY51]
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This paper is concerned with the multiplicity and concentration of positive solutions for the nonlinear Schrodinger Poisson equations {-epsilon(2)Delta u + V(x)u + phi(x)u = f(u) in R-3, -epsilon(2)Delta phi = u(2) in R-3, u is an element of H-1(R-3), u(x) > 0, for all(x) is an element of R-3, where epsilon > 0 is a parameter, V : R-3 -> R is a continuous function and f : R -> R is a C-1 function having subcritical growth. The proof of the main result is based on minimax theorems and the Ljusternik-Schnirelmann theory.
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