Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 160, Issue 1, Pages 118-138Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jdeq.1999.3662
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In this paper we obtain multiple positive solutions of the nonlinear elliptic equation -h(2) Delta u + V(x) u = K(x) \u\(p-2) u + Q(x) \u\(q-2) u, x is an element of R-N, where V, K, Q are competing potential functions. We relate the number of solutions with the topology of the global minima set of a suitable ground energy function and improve a recent existence result of X. Wang and B. Zeng (1997, SIAM J. Math. Anal. 28, 633-655). (C) 2000 Academic Press.
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