# Boundary Value Problems

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*p*-Laplacian equations. The results are based on the Krasnosel’skii fixed point theorem and mainly complement those of Djebali, Moussaoui, and Precup.

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*p*-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary cannot be defined, in general. The existence and uniqueness of weak solutions are researched. Based on uniqueness, the stability of solutions can be proved without any boundary condition.

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*Dirichlet boundary condition on part of the boundary is an essential condition*in the physical meaning. Then we use a redefined method of fundamental solutions (MFS) to determine...

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