Abstract.
In the present paper we consider the Dirichlet problem in a convex domain for the multidimensional p-Laplace equation with nonlinear source. We prove the existence of the unique continuous viscosity solution under quite general assumptions on the structure of the source.
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Received: 18 January 2006
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Tersenov, A.S., Tersenov, A.S. Viscosity solutions of the p-Laplace equation with nonlinear source. Arch. Math. 88, 259–268 (2007). https://doi.org/10.1007/s00013-006-1873-9
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DOI: https://doi.org/10.1007/s00013-006-1873-9