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On the Inverse Poletsky Inequality in Metric Spaces and Prime Ends
We study map**s defined in the domain of a metric space that distort the modulus of families of paths by the type of the inverse Poletsky...
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Rigidity of Complete Manifolds with Weighted Poincaré Inequality
We consider complete Riemannian manifolds which satisfy a weighted Poincarè inequality and have the Ricci curvature bounded below in terms of the...
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On Solvability of a Poincare–Tricomi Type Problem for an Elliptic–Hyperbolic Equation of the Second Kind
AbstractIn this paper we study a boundary value problem with the Poincare–Tricomi condition for a degenerate partial differential equation of...
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On the Openness and Discreteness of Map**s with the Inverse Poletsky Inequality
In this chapter, we study the topological properties of map**s with the inverse Poletsky inequality. Under the condition of the FMO type and the... -
Aubin Type Almost sharp Moser–Trudinger Inequality Revisited
We give a new proof of the almost sharp Moser–Trudinger inequality on smooth compact Riemannian manifolds based on the sharp Moser inequality on...
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Diffusion hypercontractivity via generalized density manifold
We prove a one-parameter family of diffusion hypercontractivity from a class of drift-diffusion processes. We next derive the related log–Sobolev,...
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Rearrangement and the weighted logarithmic Sobolev inequality
Here we consider some weighted logarithmic Sobolev inequalities which can be used in the theory of singular Riemannian manifolds. We give the...
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Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition
For a general class of divergence type quasi-linear singular parabolic equations with generalized Orlicz growth, we prove the intrinsic Harnack...
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An introduction to mixed hemivariational inequality problems on Hadamard manifolds
In this article, we introduce a category of mixed hemivariational inequality problems on Hadamard manifolds. Using Fan-KKM lemma we initiate the...
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Using Homotopy Link Function with Lipschitz Threshold in Studying Synchronized Fluctuations in Hierarchical Models
In this chapter, we use homotopy and Lipschitz concepts to study synchronization effects in a triangular discrete-time dynamical systems. We have... -
Lieb–Thirring Inequalities on Manifolds with Constant Negative Curvature
In this short note, we prove Lieb–Thirring inequalities on manifolds with negative constant curvature. The discrete spectrum appears below the...
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