Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 69, Issue 11, Pages 4088-4098Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2007.10.039
Keywords
Electromagnetic fields Schrodinger equation; Critical Sobolev exponent; Linking
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Funding
- NNSF of China [10671169]
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In this paper we consider the electromagnetic Schrodinger problem (-i del +A)(2)u, +lambda V(x)u = K(x)vertical bar v vertical bar(2*-2)u, in H(A,V+)(1)(R(N)) (see the definition in Section 1). According as whether the indefinite linear is resonant or nonresonant, we structure different direct sums of H(A,V+)(1) (R(N)). Then by applying the linking theorem twice to the corresponding functional we establish the existence results. (C) 2007 Elsevier Ltd. All rights reserved.
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