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Invariant convex bodies for strongly elliptic systems. First, sufficient conditions for the invariance of convex bodies are obtained for linear systems without
Second-Order Regularity for Parabolic p-Laplace Problems are new even for smooth domains. In particular, they hold in arbitrary bounded convex domains. © 2019
Generalization of the Brunn–Minkowski inequality in the form of Hadwiger for power moments© 2016, Pleiades Publishing, Ltd.A class of functionals on a domain in Euclidean space
Brezis-Marcus type inequalities with Lamb constant with θ-cone condition and on convex domains. We use Bessel's function and the Lamb constant.
Sharp Hardy type inequalities with weights depending on bessel function these inequalities for the case of convex domains with a finite inner radius. The proved statements
Conformal mappings of circular domains on finitely-connected non-smirnov type domains representation for the derivatives of the conformal mappings of circular domains on finitely-connected non
Estimates of Hardy-Rellich constants for polyharmonic operators and their generalizations and its generalizations. For the convex domains we establish two generalizations of the known results
Brezis–Marcus Problem and its GeneralizationsCertain Hardy inequalities in domains of Euclidean space contain sharp but unreachable constants. V
Optimal second-order regularity for the p-Laplace system. In particular, our conclusions hold for arbitrary bounded convex domains. Local estimates for local solutions
Hardy-Rellich integral inequalities in domains satisfying the exterior sphere condition for compactly supported functions on the domains of Euclidean space in the case when weight functions are powers
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