Frontiers of Mathematics in China >
Existence of saddle solutions of a nonlinear elliptic equation involving p-Laplacian in more even-dimensional spaces
Received date: 09 Apr 2014
Accepted date: 22 Aug 2016
Published date: 18 Oct 2016
Copyright
We show that there exist saddle solutions of the nonlinear elliptic equation involving the p-Laplacian, p>2, in 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.
Key words: p-Laplacian; saddle solutions; sub-supersolution method
Huahui YAN , Zhuoran DU . Existence of saddle solutions of a nonlinear elliptic equation involving p-Laplacian in more even-dimensional spaces[J]. Frontiers of Mathematics in China, 2016 , 11(6) : 1613 -1623 . DOI: 10.1007/s11464-016-0584-1
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