Abstract
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 p-Laplacian 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.
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Supported by the National Natural Science Foundation of China (10471033).
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Li, W., Haiyun, Z. Research on the existence of solution of equation involving p-laplacian operator. Appl. Math.- J. Chin. Univ. 21, 191–202 (2006). https://doi.org/10.1007/BF02791356
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DOI: https://doi.org/10.1007/BF02791356