Results 51 to 60 of about 1,653 (108)
A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities
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
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Picone's identity for a system of first-order nonlinear partial differential equations
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
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Solving an abstract nonlinear eigenvalue problem by the inverse iteration method
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
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Eigenvalues of the
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
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Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian via Riccati method [PDF]
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
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A symmetrization result for a class of anisotropic elliptic problems
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
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Uniform Central Limit Theorem for martingales [PDF]
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.
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Picone-type identity for pseudo p-Laplacian with variable power
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
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Solution of linear ill-posed problems by model selection and aggregation
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
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On fractional p-Laplacian problems with weight [PDF]
We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Lehrer, Raquel +2 more
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