Results 151 to 160 of about 4,824,817 (357)

Concentration-compactness principle for variable exponent spaces and applications

Electronic Journal of Differential Equations, 2010
In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
Julian Fernandez Bonder, Analia Silva
doaj  

Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [PDF]

arXiv, 2012
We prove optimal integrability results for solutions of the $p(\cdot)$-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials maps $L^1$ to variable exponent weak Lebesgue spaces.
arxiv  

Commutators of singular integrals on generalized $L^p$ spaces with variable exponent [PDF]

, 2005
Alexei Yu. Karlovich, Andrei K. Lerner
openalex   +1 more source

The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents [PDF]

arXiv
Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz-Morrey spaces with variable exponents. Next we introduce weighted grand Herz-Morrey-Triebel-Lizorkin spaces with variable exponents and provide their equivalent quasi ...
arxiv  

Anisotropic Hardy-Lorentz spaces with variable exponents [PDF]

arXiv, 2016
In this paper we introduce Hardy-Lorentz spaces with variable exponents associated to dilation in ${\Bbb R}^n$. We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz spaces.
arxiv  

Variable Sobolev capacity and the assumptions on the exponent [PDF]

, 2005
Petteri Harjulehto, Peter Hästö, Mika Koskenoja, S. Varonen   +3 more
openalex   +1 more source

Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents [PDF]

arXiv, 2017
This article sets forth results on the existence, a priori estimates and boundedness of positive solutions of a singular quasilinear systems of elliptic equations involving variable exponents. The approach is based on Schauder's fixed point Theorem.
arxiv  

Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces

Annals of Functional Analysis, 2021
V. Kokilashvili, A. Meskhi
semanticscholar   +1 more source

Solutions of p(x)-Laplacian equations with critical exponent and perturbations in R^N

Electronic Journal of Differential Equations, 2012
Based on the theory of variable exponent Sobolev spaces, we study a class of $p(x)$-Laplacian equations in $mathbb{R}^{N}$ involving the critical exponent.
Xia Zhang, Yongqiang Fu
doaj  

Nonlinear eigenvalue problems in Sobolev spaces with variable exponent [PDF]

, 2006
Teodora-Liliana Dinu
openalex   +1 more source