期刊
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
卷 47, 期 1-2, 页码 243-271出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-012-0518-z
关键词
Stationary nonlinear Schrodinger equation; Semiclassical states; Semilinear elliptic problem; Vanishing potential; Critical frequency; Concentration around local maxima
We study positive bound states for the equation , where is a real parameter, and V is a nonnegative potential. Using purely variational techniques, we find solutions which concentrate at local maxima of the potential V without any restriction on the potential.
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