Regularizing effect in singular semilinear problems
Abstract
We analyze how different relations in the lower order terms lead to the same regularizing effect on singular problems whose model is 
in Ω, u = 0 on ∂Ω, where Ω is a bounded open set of 
is a nonnegative function in L1(Ω) and g(x,s) is a Carathéodory function. In a framework where no 
solution is expected, we prove its existence (regularizing effect) whenever the datum f interacts conveniently either with the boundary of the domain or with the lower order term.
Keywords:
nonlinear elliptic equations, singular problem, regularizing effectHow to Cite
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