Multiple Solutions to Elliptic Equations on R-N with Combined Nonlinearities

作者:Yang Miaomiao; Li Anran*
来源:Abstract and Applied Analysis, 2014, 2014: 284953.
DOI:10.1155/2014/284953

摘要

In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations (P)(gimel): -Delta u + V (x) u = gimel Q (x) vertical bar u vertical bar(q-2) u + Q (x) f (u), x is an element of R-N; u(x) -> 0, as vertical bar x vertical bar -> + infinity, where 1 < q < 2,0 < gimel is an element of R, N >= 3, V, and Q are radial positive functions, which can be vanishing or coercive at infinity, and f is asymptotically linear at infinity.

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