✦ LIBER ✦

Existence of solutions to nonlinear Neumann boundary value problems with generalized -Laplacian operator

✍ Scribed by Li Wei; Ravi P. Agarwal

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 335 KB
Volume: 56
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.01.013

No coin nor oath required. For personal study only.

✦ Synopsis

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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