Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 938-947.

• Articles • Previous Articles     Next Articles

Research on the Existence of Solution of Generalized Curvature Boundary Value Problems

 WEI Li, LIU Yuan-Xing   

  1. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061
  • Received:2012-10-08 Revised:2013-11-06 Online:2014-08-25 Published:2014-08-25
  • Supported by:

    国家自然科学基金(11071053)、河北省自然科学基金(A2014207010)、河北省教育厅科学研究计划重点项目(ZH2012080)和河北经贸大学科学研究计划重点项目(2013KYZ01)资助.

Abstract:

By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta (1978), the
result on the existence of a solution u(x) in Lp(Ω) of nonlinear curvature equation with nonlinear Neumann boundary
value conditions, where 2N/N+1< p < +∞ and N≥1 denotes the dimension of RN, is studied. The equation discussed in this paper and the methods here are continuation and complement to the previous corresponding results. To obtain the result, some new techniques are used in this paper.

Key words: Maximal monotone operator, Accretive mapping, Hemi-continuous mapping, Curvature equation

CLC Number: 

  • 47H05
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