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.
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Hu, S., Papageorgiou, N.S. Nonlinear Elliptic Problems of Neumann-Type. Periodica Mathematica Hungarica 40, 13–29 (2000). https://doi.org/10.1023/A:1004883721069
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DOI: https://doi.org/10.1023/A:1004883721069
Keywords
- Boundary Condition
- Differential Equation
- Elliptic Problem
- Monotone Operator
- Maximal Monotone