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Boundary asymptotic and uniqueness of solutions to the p-Laplacian with infinite boundary values
Authors:Ahmed Mohammed
Institution:Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, USA
Abstract:We prove boundary asymptotics to solutions of weighted p-Laplacian equations that take infinite value on the boundary of a bounded domain. Uniqueness of such solutions would then follow as a consequence. Our results extend previously known results by allowing weights that are unbounded in the domain.
Keywords:p-Laplacian  Keller-Osserman condition  Boundary asymptotic  Uniqueness
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