Results 91 to 100 of about 259 (139)

Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrodinger equation

Electronic Journal of Differential Equations, 2009
In this paper, we first show that there exists a maximizer for the non-endpoint Strichartz inequalities for the Schrodinger equation in all dimensions based on the recent linear profile decomposition result.
Shuanglin Shao
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Convolution Algebraic Structures Defined by Hardy-Type Operators

Journal of Function Spaces and Applications, 2013
The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana, Juan J. Royo, Luis Sánchez-Lajusticia   +2 more
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On weighted Orlicz-Sobolev inequalities

Discrete and Continuous Dynamical Systems
Let $Ω$ be an open subset of $\mathbb{R}^N$ with $N\geq 2.$ We identify various classes of Young functions $Φ$ and $Ψ$, and function spaces for a weight function $g$ so that the following weighted Orlicz-Sobolev inequality holds: \begin{equation*}\label{ineq:Orlicz} Ψ^{-1}\left(\int_Ω|g(x)|\,Ψ(|u(x)| )dx \right)\leq CΦ^{-1}\left(\int_ΩΦ(|\nabla u(x ...
Anoop, T. V., Das, Ujjal, Roy, Subhajit
openaire   +2 more sources

General Hardy inequalities with optimal constants and remainder terms

Journal of Inequalities and Applications, 2005
One-dimensional Hardy inequalities with weights and remainder terms are studied. The corresponding optimal constants are discussed. Then by the process of symmetrization, Hardy inequalities with remainder terms in high-dimensional Sobolev spaces are ...
Yaotian Shen, Zhihui Chen
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Complete positivity order and relative entropy decay

Forum of Mathematics, Sigma
We prove that for a GNS-symmetric quantum Markov semigroup, the complete modified logarithmic Sobolev constant is bounded by the inverse of its complete positivity mixing time.
Li Gao, Marius Junge, Nicholas LaRacuente, Haojian Li   +3 more
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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
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On the constants in some inequalities for the Sobolev norms and pointwise product

Journal of Inequalities and Applications, 2002
We consider the Sobolev norms of the pointwise product of two functions, and estimate from above and below the constants appearing in two related inequalities.
Pizzocchero Livio, Morosi Carlo
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On two reverse inequalities in the Segal-Bargmann space

Electronic Journal of Differential Equations, 2000
We review here two reverse inequalities in the Segal-Bargmann space: a reverse hypercontractivity estimate due to Carlen and a reverse log-Sobolev inequality due to the second author.
Fernando Galaz-Fontes, Stephen Bruce Sontz   +1 more
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Improved Sobolev Inequalities [PDF]

Transactions of the American Mathematical Society, 1983
openaire   +2 more sources

Nonexistence of global solutions for differential inequalities of Sobolev type

Electronic Journal of Differential Equations, 2014
In this article we study three differential inequalities of Sobolev type. Using Pokhozhaev's nonlinear capacity method, we provide sufficient conditions for the nonexistence of global nontrivial weak solutions to these problems.
Mohamed Jleli, Bessem Samet
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