| Existence of Solution of Nonlinear Boundary Value Problem Involving Generalized p-Laplacian Operator |
| Received:May 24, 2004 |
| Key Words:
Accretive mapping monotone operator demi-continuous mapping strictly convex space.
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| Fund Project: |
| Author Name | Affiliation | | WEI Li | School of Math. & Stat., Hebei University of Economics and Business, Shijiazhuang 050061, China
Inst. of Appl. Math. & Mech., Ordnance Engineering College, Shijizhuang 050003, China | | ZHOU Hai-yun | Inst. of Appl. Math. & Mech., Ordnance Engineering College, Shijizhuang 050003, China
Inst. of Math. & Inform. Sci., Hebei Normal University, Shijizhuang 050016, China |
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| Abstract: |
| In this paper, the $p$-Laplacian operator is generalized to the generalized $p$-Laplacian operator. Then, the perturbation results of the ranges of nonlinear accretive mappings are used to discuss, the existence of the solution of the nonlinear elliptic problem with Neumann boundary value involving the generalized $p$-Laplacian operator in $L^p(\Omega)$ space, $2 \leq p < + \infty$. The equations and methods here are continuation and complement to some previous works. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.02.020 |
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