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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This work were supported by National Institute of Science and Technology of Mathematics INCT-Mat, CNPq, Grants 170245/2023-3, 160951/2022-4, 308395/2023-9, and by Paraíba State Research Foundation (FAPESQ), Grant 3034/2021.
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Apaza, J.A., de Souza, M. Removable singularities in the boundary for quasilinear elliptic equations. Nonlinear Differ. Equ. Appl. 31, 57 (2024). https://doi.org/10.1007/s00030-024-00945-4
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DOI: https://doi.org/10.1007/s00030-024-00945-4