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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…
math.AP2019
A nonlinear parabolic problem with singular terms and nonregular data
Francescantonio Oliva, Francesco Petitta
We study existence of nonnegative solutions to a nonlinear parabolic boundary value problem with a general singular lower order term and a nonnegative measure as nonhomogeneous dat…