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math.AP2026
The obstacle problem for singular quasi-linear elliptic equations
Annamaria Barbagallo, Umberto Guarnotta
Existence of solutions to an obstacle -Laplacian problem exhibiting a singular, discontinuous reaction is proved. The reaction term may be discontinuous in a Lebesgue-negligible…
math.AP2026
On singular -Laplacian problems with discontinuous convection terms
Umberto Guarnotta, Salvatore A. Marano
The existence of positive strong solutions to a homogeneous Dirichlet -Laplacian problem, with reaction sum of a both singular at zero and highly discontinuous nonlinearity and…