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https://doi.org/10.1007/s11464-016-0584-1
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Cite Journal: Frontiers of Mathematics in China |  Publication Date: Sep 2, 2016 |
Affiliation: Hunan University
We show that there exist saddle solutions of the nonlinear elliptic equation involving the p-Laplacian, p > 2, -Δpu = f(u) in R2m for all dimensions satisfying 2m ≥ p, by using sub-supersolution method. The existence of saddle solutions of the above problem was known only in dimensions 2m ≥ 2p.
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