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Two classes of infinitely many solutions for fractional Schrödinger-Maxwell system with concave-convex power nonlinearities

Khiddi Mustapha

Journal of Mathematics and Applications

2022

Vol. 45

87--105

Employing critical theory and concentration estimates, we establish the existence of two classes of infinitely many weak solutions fractional Schrödinger-Poisson system involving critical Sobolev growth. The first classe of solutions with negative energy is found by using of notion genus while the second one contains infinitely many weak solutions with positive energy via Fountain theorem.

Topology of C20 Based Spongy Nanostructures

Diudea M. V., Szefler B.

Computational Methods in Science and Technology

2015

Vol. 21, No. 2

65--68

Spongy materials are encountered in nature in zeolites used as molecular sieves. There are also synthetic compounds like spongy carbon, metal-organic frameworks MOFs, etc, with a hollow structure. The design and topological study of some hypothetical spongy nanostructures is presented in terms of map operations and genus calculation on their associated graphs. The design of nanostructures was performed by original software packages.