Results 111 to 120 of about 2,707 (136)
Regularity, positivity and asymptotic vanishing of solutions of a φ-Laplacian
In this note we prove that solutions of a φ-Laplacian operator on the entire space ℝN are locally regular (Hölder continuous), positive and vanish at infinity. Mild restrictions are imposed on the right-hand side of the equation. For example, we assume a
Arriagada Waldo, Huentutripay Jorge
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Advances on Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product Spaces [PDF]
The purpose of this survey is to give a comprehensive introduction to some classes of classical and recent analytic inequalities in Inner Product Spaces.
arxiv
Modular estimates in Orlicz spaces and Hammerstein operator equations [PDF]
Certain inequalities between the values of the modular and the norm in the Orlicz spaces are established. These inequalities are applied then to the theory of solvability of nonlinear integral equations of Hammerstein type.
arxiv
Integral Criteria for Transportation-Cost Inequalities [PDF]
In this paper, we provide a characterization of a large class of transportation-cost inequalities in terms of exponential integrability of the cost function under the reference probability measure. Our results completely extend the previous works by Djellout, Guilin and Wu and Bolley and Villani.
arxiv
Radial Nonlinear Elliptic Problems with Singular or Vanishing Potentials
In this paper, we prove the existence of radial solutions for the nonlinear elliptic ...
Badiale Marino, Zaccagni Federica
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Matrix multiplication operators on Banach function spaces [PDF]
In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem.
arxiv
Weak compactness and Orlicz spaces [PDF]
We give new proofs that some Banach spaces have Pe{\l}czy\'nski's property $(V)$.
arxiv
Bilateral Small Lebesgue Spaces [PDF]
In this article we investigate the so-called Bilateral Small Lebesgue Spaces: prove that they are associated to the Grand Lebesgue spaces, calculate its fundamental functions and Boyd's indices find its dual spaces etc.
arxiv
This article is devoted to a global Calderón-Zygmund estimate in the framework of Lorentz spaces for the mm-order gradients of weak solution to a higher-order elliptic equation with pp-growth.
Tian Hong, Zheng Shenzhou
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In this paper, we use the rearrangement-free argument, in the spirit of the work by Li, Lu and Zhu [25], on the concentration-compactness principle on the Heisenberg group to establish a sharpened version of the singular Lions concentration-compactness ...
Zhang Caifeng, Chen Lu
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