Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition
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DOI: 10.1186/s13661-024-01831-9
Abstract: We establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral system and then prove… read more here.
Keywords: higher order; system; weighted higher; order elliptic ... See more keywords
Weighted higher order exponential type inequalities in metric spaces and applications
Sign Up to like & getrecommendations! Published in 2020 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2020-2059
Abstract: Abstract In this paper, we establish weighted higher order exponential type inequalities in the geodesic space (X,d,μ){({X,d,\mu})} by proposing an abstract higher order Poincaré inequality. These are also new in the non-weighted case. As applications,… read more here.
Keywords: order exponential; order; higher order; weighted higher ... See more keywords