Removable singularities in the boundary for quasilinear elliptic equations

2023/08/24 by Juan Alcon Apaza, Apaza, Juan A., Manassés de Souza +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2308.13084

Abstract

In this work, we are interested in to study removability of a singular set in the boundary for some classes of quasilinear elliptic equations. We will approach this question in two different ways: through an asymptotic behavior at the infinity of the solutions, or through conditions in the Sobolev norm of solutions along the direction of the singular set.

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