Some Hardy and Rellich type inequalities for affine connections
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-024-00639-6
Abstract: In this article we study various forms of the Hardy inequality for affine connections on a complete noncompact Riemannian manifold, including the two-weight Hardy inequality, the improved Hardy inequality, the Rellich inequality, the Hardy–Poincaré inequality… read more here.
Keywords: inequality; rellich type; affine connections; type inequalities ... See more keywords
Rellich Type Inequalities with Weights in Plane Domains
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DOI: 10.1134/s1995080218050049
Abstract: We determine some special functionals as sharp constants in integral inequalities for test functions, defined on plane domains. First we prove a new one dimensional integral inequality. Also, we prove some generalizations of a classical… read more here.
Keywords: plane domains; inequalities weights; weights plane; rellich type ... See more keywords