Derives pointwise bound |u| ≤ C ρ1^{-τ} near Γ for -Δ_{p(x)}u + |u|^{q-1}u=0 to prove singularity removability and p→1 convergence to -Δ_1 u + |u|^{q-1}u=0 in BV.
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Pointwise Estimates Near Singular Sets for Quasilinear Elliptic Equations
Derives pointwise bound |u| ≤ C ρ1^{-τ} near Γ for -Δ_{p(x)}u + |u|^{q-1}u=0 to prove singularity removability and p→1 convergence to -Δ_1 u + |u|^{q-1}u=0 in BV.