Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 1111-1116.

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The Existence of Solution of Nonlinear Boundary Value Problem Involving the Generalized p-Laplacian Operator in {\boldmath Ls(Ω)

河北经贸大学 数学与统计学学院 石家庄 050061   

  • Received:2006-12-10 Revised:2009-08-07 Online:2010-07-25 Published:2010-07-25

Abstract:

By using the perturbation results on ranges of nonlinear accretive mappings, the existence of solution of Neumann boundary value problem involving the generalized p-Laplacian operator in Ls(Ω) space is discussed in this paper, where 2 ≤ p ≤ s < + ∞. Some new techniques are used here to prove the main result which can be regarded as a continuation and complement to some of  the previous works.

Key words: Accretive mapping, Monotone operator, Demi-continuous mapping, Generalized p-Laplacian operator

CLC Number: 

  • 47H09
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