Nonlinear elliptic problems of Neumann-type

Abstract

In this paper we study a nonlinear elliptic differential equation driven by the p-Laplacian with a multivalued boundary condition of the Neumann type. Using techniques from the theory of maximal monotone operators and a theorem on the range of the sum of monotone operators, we prove the existence of a (strong) solution.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1023/A:1004883721069

Keywords

boundedly inversely compact, equality in the sense of distributions, maximal monotone operators, Neumann problems, subdifferentials, trace maps and spaces

Publication Date

1-1-2000

Journal Title

Periodica Mathematica Hungarica

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