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Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2019, Volume 469, Issue 2, pp. 897 - 915
We consider a nonlocal elliptic equation arising in a prey–predator model whose nonlocal term is singular. We use the Leray–Schauder degree to prove the... 
Leray–Schauder degree | Nonlocal elliptic equations | Nonlocal logistic equation | Bifurcation theory | Nonlocal Holling–Tanner equation | MATHEMATICS | MATHEMATICS, APPLIED | Nonlocal Holling-Tanner equation | DIFFUSION | Leray-Schauder degree | POPULATION-DYNAMICS
Journal Article
Nonlinear Analysis, Theory, Methods and Applications, ISSN 0362-546X, 2019
In this work we study a class of nonlocal quadratic forms given by E (u,v)=[Formula presented]∫ ∫ (u(x)−u(y))(v(x)−v(y))j(x−y)dxdy,where j:R →[0,∞] is a... 
Nonlocal operator | Nonlocal quadratic form | Local compactness
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 04/2015, Volume 286, pp. 216 - 229
Journal Article
Bulletin des sciences mathématiques, ISSN 0007-4497, 07/2012, Volume 136, Issue 5, pp. 521 - 573
This paper deals with the fractional Sobolev spaces . We analyze the relations among some of their possible definitions and their role in the trace theory. We... 
Fractional Laplacian | Nonlocal energy | Sobolev embeddings | Gagliardo norm | Fractional Sobolev spaces | Secondary | Primary | DIRICHLET-NEUMANN OPERATORS | OBSTACLE PROBLEM | MATHEMATICS, APPLIED | HALF-LAPLACIAN | WATER-WAVES | REGULARITY | QUASI-GEOSTROPHIC EQUATION | DIFFUSION | BOUNDARY | NONLOCAL MINIMAL-SURFACES | SINGULAR SET
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2011, Volume 217, Issue 14, pp. 6498 - 6515
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 10/2013, Volume 66, Issue 7, pp. 1245 - 1260
We analyze a nonlocal diffusion operator having as special cases the fractional Laplacian and fractional differential operators that arise in several... 
Nonlocal vector calculus | Fractional Laplacian | Finite element methods | Nonlocal diffusion | Fractional Sobolev spaces | Nonlocal operators | MATHEMATICS, APPLIED | TRANSPORT | APPROXIMATION | EQUATIONS | DYNAMICS
Journal Article
2012, Graduate studies in mathematics, ISBN 9780821887493, Volume 137, xii, 248
Book
Optics Express, ISSN 1094-4087, 03/2018, Volume 26, Issue 5, pp. 5126 - 5139
We have experimentally analyzed and compared the performance of Brillouin optical time-domain analyzer (BOTDA) sensors assisted by non-local means (NLM) and... 
BOTDA | OPTICS | REDUCTION | NONLOCAL MEANS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 12/2015, Volume 269, Issue 11, pp. 3500 - 3527
In this paper, we study the existence and asymptotic behavior of nodal solutions to the following Kirchhoff problem where is a smooth function, are positive... 
Nodal solutions | Nonlocal term | Kirchhoff-type equations
Journal Article
Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 2014, Volume 48, Issue 1, pp. 93 - 105
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 05/2018, Volume 79, pp. 123 - 130
We use two families of parameters to first introduce a unified novel hierarchy of two-family-parameter equations (simply called hierarchy), connecting... 
Conservation laws | Local, nonlocal, and mixed-local–nonlocal VNLS equations | [formula omitted] symmetry | Symmetry reductions | Lax pair | Two families of parameters | PT symmetry | MATHEMATICS, APPLIED | Local, nonlocal, and mixed-local-nonlocal VNLS equations
Journal Article
Acta Astronautica, ISSN 0094-5765, 08/2015, Volume 113, pp. 29 - 50
Journal Article
Composites Part B, ISSN 1359-8368, 02/2014, Volume 57, pp. 21 - 24
In this paper, the mechanical buckling properties of a zigzag double-walled carbon nanotube (DWCNT) with both chirality and small scale effects are studied.... 
A. Double-walled carbon nanotubes | Timoshenko beam theory | B. Buckling | B. Nonlocal elasticity Chirality | Nonlocal elasticity Chirality | ENERGY | ENGINEERING, MULTIDISCIPLINARY | VIBRATION | FIELD | Double-walled carbon nanotubes | MATERIALS SCIENCE, COMPOSITES | NONLOCAL ELASTICITY | Buckling | MOLECULES | Mechanical properties | Analysis | Nanotubes
Journal Article
Journal of Mechanics of Materials and Structures, ISSN 1559-3959, 2012, Volume 7, Issue 1, pp. 45 - 84
Journal Article
International Journal of Engineering Science, ISSN 0020-7225, 12/2016, Volume 109, pp. 240 - 242
Journal Article
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