Results 91 to 100 of about 191 (143)

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

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

Stability of Multiscale Transformations

, 1996
After briefly reviewing the interrelation between Riesz-bases, biorthogonality and a certain stability notion for multiscale basis transformations we establish a basic stability criterion for a general Hilbert space setting.
Dahmen, Wolfgang, Wolfgang Dahmen
core  

Orthonormal Wavelet Bases Adapted for Partial Differential Equations with Boundary Conditions

, 1995
We adapt ideas presented by Auscher to impose boundary conditions on the construction of multiresolution analyses on the interval, as introduced by Cohen, Daubechies and Vial.
Pascal Monasse, Valérie Perrier
core  

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

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

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

An Optimal Order Regularization Method Which Does Not Use Additional Smoothness Assumptions

, 1992
. This paper defines an optimal method to reconstruct the solutions of operator equations of the first kind. Only the case of compact operators is considered. The method is in principle a discrepancy method.
Markus Hegland
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On the Convergence in the Variation Norm for the Images of Measures Under Differentiable Mappings

, 2007
Let F j ; F : R n ! R n be measurable mappings such that F j ! F and @ x i F j ! @ x i F in measure on a measurable set E. We give conditions ensuring that the images of Lebesgue measure j E on E under the mappings F j converge in the variation ...
V. I. Bogachev, A. I. Pilipenko, D. E. Alexandrova   +2 more
core  

An estimate on the Bedrosian commutator in Sobolev space. [PDF]

J Inequal Appl, 2018
Oliver M.
europepmc   +1 more source