Natural Sciences, Mathematics, 2026
On normal solvability of a Dirichlet’s type problem for improperly elliptic equation third order
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Submitted: 2024-12-20
© 2026 by author(s) and The Gufo Inc.
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Abstract
We consider Dirichlet type problem in upper half-plane for improperly elliptic equation uz¯z2=0uzz¯2=0, with boundary functions from the class L1(ρ)L1(ρ) (ρ=(1+|x|)−α,α≥0)(ρ=(1+|x|)−α,α≥0). The solutions of the problem are obtained in explicit form.