Results 51 to 60 of about 1,653 (108)

A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities

open access: yes, 2019
In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a general smooth gauge function $F$. Starting from this type of inequalities we
di Blasio, Giuseppina   +2 more
core   +1 more source

Picone's identity for a system of first-order nonlinear partial differential equations

open access: yesElectronic Journal of Differential Equations, 2013
We established a Picone identity for systems of nonlinear partial differential equations of first-order. With the help of this formula, we obtain qualitative results such as an integral inequality of Wirtinger type and the existence of zeros for the ...
Jaroslav Jaros
doaj  

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method

open access: yes, 2017
Let $\left( X,\left\Vert \cdot\right\Vert_{X}\right) $ and $\left( Y,\left\Vert \cdot\right\Vert_{Y}\right) $ be Banach spaces over $\mathbb{R},$ with $X$ uniformly convex and compactly embedded into $Y.$ The inverse iteration method is applied to solve ...
Ercole, Grey
core   +1 more source

Eigenvalues of the -Laplacian and disconjugacy criteria

open access: yesJournal of Inequalities and Applications, 2006
We derive oscillation and nonoscillation criteria for the one-dimensional -Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a ...
Pinasco Juan P, De Napoli Pablo L
doaj  

Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian via Riccati method [PDF]

open access: yes, 2011
Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian are derived by using the Riccati inequality. The approach used is to reduce forced oscillation problems for quasilinear elliptic inequalities with p(x)-Laplacian to one-
Yoshida Norio
core   +1 more source

A symmetrization result for a class of anisotropic elliptic problems

open access: yes, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela   +2 more
core   +1 more source

Uniform Central Limit Theorem for martingales [PDF]

open access: yes, 2014
We study some sufficient conditions imposed on the sequence of martingale differences (m.d.) in the separable Banach spaces of continuous functions defined on the metric compact set for the Central Limit Theorem in this space.
Sirota, L.
core  

Picone-type identity for pseudo p-Laplacian with variable power

open access: yesElectronic Journal of Differential Equations, 2012
A Picone type identity is established for homogeneous differential operators involving the pseudo p-Laplacian with variable exponent p=p(x). Using this identity, it is shown that the classical Sturmian theory extends to the associated partial ...
Gabriella Bognar, Ondrej Dosly
doaj  

Solution of linear ill-posed problems by model selection and aggregation

open access: yes, 2017
We consider a general statistical linear inverse problem, where the solution is represented via a known (possibly overcomplete) dictionary that allows its sparse representation. We propose two different approaches.
Abramovich, Felix   +2 more
core   +1 more source

On fractional p-Laplacian problems with weight [PDF]

open access: yes, 2014
We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Lehrer, Raquel   +2 more
core  

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