Journal
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume 13, Issue 2, Pages 167-192Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00030-005-0034-3
Keywords
indefinite elliptic operator; Schrodinger equation; elliptic equations; critical growth; linking theorem; unbounded domain
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The main purpose of this paper is to establish the existence of a solution of the semilinear Schrodinger equation -Delta u + V(x)u = f(u). om R-2 where V is a 1-periodic function with respect to x, 0 lies in a gap of the spectrum of -Delta + V, and f(s) behaves like +/- exp(alpha s(2)) when s -> +/-infinity.
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