Results 131 to 140 of about 3,996 (166)

Weighted Sobolev inequalities and Ricci flat manifolds [PDF]

arXiv, 2006
We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci curvature satisfying an inverse doubling volume condition. It enables us to obtain rigidity results for Ricci flat manifolds, generalizing earlier work of Bando, Kasue and Nakajima.
arxiv  

Embeddings for anisotropic Besov spaces [PDF]

arXiv, 2006
We prove embedding theorems for fully anisotropic Besov spaces. More concrete, inequalities between modulus of continuity in different metrics and of Sobolev type are obtained. Our goal is to get sharp estimates for some anisotropic cases previously unconsidered.
arxiv  

Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials

Advanced Nonlinear Studies
The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x ...
Zhang Caifeng, Zhu Maochun
doaj   +1 more source

Double phase anisotropic variational problems involving critical growth

Advances in Nonlinear Analysis
In this study, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions-type concentration-compactness principle and its variant at infinity for the solution space ...
Ho Ky, Kim Yun-Ho, Zhang Chao
doaj   +1 more source

On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
doaj   +1 more source

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions

Demonstratio Mathematica
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
doaj   +1 more source

Anisotropic adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$

Advanced Nonlinear Studies
In this paper, we mainly extend the classical Adams’ inequality to its anisotropic type. By using the rearrangement argument, we establish best constants for anisotropic Adams’ type inequality with exact growth in R4 ${\mathbb{R}}^{4}$ .
Zhang Tao, Yang Fan, Cheng Tingzhi, Zhou Chunqin   +3 more
doaj   +1 more source

Composition operators on W 1 X are necessarily induced by quasiconformal mappings

Open Mathematics, 2014
Kleprlík Luděk
doaj   +1 more source

Mapping properties of the Fourier transform in spaces with dominating mixed smoothness [PDF]

arXiv
This paper deals with continuous and compact mappings of the Fourier transform in function spaces with dominating mixed smoothness.
arxiv