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Regularizing effect in singular semilinear problems
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Regularizing effect in singular semilinear problems
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Journal Article
Regularizing effect in singular semilinear problems
2023
Overview
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.
Publisher
Vilnius Gediminas Technical University
