Applied MathematicsA Journal of Chinese Universities
, Volume 21, Issue 2, pp 191202
First online:
Research on the existence of solution of equation involving plaplacian operator
 Wei LiAffiliated withSchool of Mathematics and Statistics, Hebei University of Economics and BusinessInstitute of Applied Mathematics and Mechanics, Ordnance Engineering College
 , Zhou HaiyunAffiliated withInstitute of Applied Mathematics and Mechanics, Ordnance Engineering College
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By using the perturbation theories on sums of ranges for nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence of a solution u∈L ^{ p }(Ω) to nonlinear equations involving pLaplacian operator Δ_{ p }, where 2N/N+1<p<+∞ and N(≥1) denotes the dimension of R ^{ N }, is studied. The equation discussed and the methods shown in the paper are continuation and complement to the corresponding results of Li and Zhen's previous papers. To obtain the result, some new techniques are used.
MR Subject Classification
47H05 47H09 49M05Keywords
maximal monotone operator accretive mapping hemicontinuous mapping pLaplacian operator Title
 Research on the existence of solution of equation involving plaplacian operator
 Journal

Applied MathematicsA Journal of Chinese Universities
Volume 21, Issue 2 , pp 191202
 Cover Date
 200606
 DOI
 10.1007/BF02791356
 Print ISSN
 10051031
 Online ISSN
 19930445
 Publisher
 Editorial Committee of Applied Mathematics
 Additional Links
 Topics
 Keywords

 47H05
 47H09
 49M05
 maximal monotone operator
 accretive mapping
 hemicontinuous mapping
 pLaplacian operator
 Authors

 Wei Li ^{(1)} ^{(2)}
 Zhou Haiyun ^{(2)}
 Author Affiliations

 1. School of Mathematics and Statistics, Hebei University of Economics and Business, 050061, Shijiazhuang, China
 2. Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, 050003, Shijiazhuang, China