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20152026
most citedA semilinear elliptic equation with a mild singularity at : existence and homogenization

46 citations · 96 across the 8 of their papers we have counts for

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math.AP2019★ 11 cited

1-Laplacian type problems with strongly singular nonlinearities and gradient terms

Daniela Giachetti, Francescantonio Oliva, Francesco Petitta

We show optimal existence, nonexistence and regularity results for nonnegative solutions to Dirichlet problems as $$ \begin{cases} \displaystyle -Δ_1 u = g(u)|D u|+h(u)f & \text{in…