Existence of solutions to nonlinear Neumann boundary value problems with generalized [formula omitted]-Laplacian operator

Ravi P Agarwal,Li Wei

doi:10.1016/j.camwa.2008.01.013

Existence of solutions to nonlinear Neumann boundary value problems with generalized [formula omitted]-Laplacian operator

Ravi P Agarwal, Li Wei

Open Access

https://doi.org/10.1016/j.camwa.2008.01.013

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Journal: Computers and Mathematics with Applications	Publication Date: Mar 14, 2008
Citations: 26	License type: elsevier-specific: oa user license

Affiliation: Florida Institute of Technology, Hebei University of Economics and Business

#Nonlinear Neumann Boundary Value Problems #Nonlinear Elliptic Boundary Value Problems + Show 8 more

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Abstract

Using perturbation results on the sums of ranges of nonlinear accretive mappings of Calvert and Gupta [B.D. Calvert, C.P. Gupta, Nonlinear elliptic boundary value problems in L p -spaces and sums of ranges of accretive operators, Nonlinear Anal. 2 (1978) 1–26], we present some abstract existence results for the solutions of nonlinear Neumann boundary value problems involving the generalized p -Laplacian operator. The equation discussed in this paper and the method used extend and complement some of the previous work.

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