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Takáč's conjecture on omitting boundary connectedness for regular domains
Takáč's conjecture. The assumption that $\partial\Omega$ is connected can be omitted for sufficiently regular domains.
Conjectureopennonlinear-elliptic-equations positive-solutions p-q-laplace-equationsarXiv posted 2 days ago

Takáč's conjecture on omitting boundary connectedness for regular domains