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摘要
This paper is a contribution on the inhomogeneous problem
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where Omega = R-N\omega is an exterior domain in R-N, omega subset of R-N is a bounded domain with a smooth boundary and N > 2. lambda > 0, mu > 0 and p > 1 are given constants. f (x) epsilon L-infinity(Omega) and K(x) are given locally Holder continuous functions in Omega and K(x) satisfies a fast decay condition: there exists C, is an element of, M > 0 such that vertical bar K(x)vertical bar < C vertical bar x vertical bar(l) for any vertical bar x vertical bar >= M with l <= -2 - is an element of. By applying the monotone iteration method and the Mountain Pass Lemma, some results on the existence and nonexistence of multiple solutions are discussed under different assumptions for K(x) and f (x).
- 出版日期2007-3-15
- 单位华中师范大学
