The goal of this article is to show the existence of a positive solution to a Dirichlet problem for the elliptic equation Δgu+f(u)=0 on Ω⊂H2×R, where Ω is a perturbation of the half-space H2×R0+. The corresponding solution is a perturbation of the solution to u′′(z)+f(u(z))=0, such that u(0)=0,u(z)→+1, as z→+∞.
A DIRICHLET PROBLEM ON PERTURBED HALF-SPACES OF H2×R FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
Morabito F.
2026-01-01
Abstract
The goal of this article is to show the existence of a positive solution to a Dirichlet problem for the elliptic equation Δgu+f(u)=0 on Ω⊂H2×R, where Ω is a perturbation of the half-space H2×R0+. The corresponding solution is a perturbation of the solution to u′′(z)+f(u(z))=0, such that u(0)=0,u(z)→+1, as z→+∞.File in questo prodotto:
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