We consider the elliptic problem $$ - \Delta_A u + = a_{\lambda}(x) |u|^{q-2}u+b_{\mu}(x) |u|^{p-2}u , for \(x \in \mathbb{R}^N\), \( 1 < q 2 p 2^*= 2N/(N-2)\), \(a_{\lambda}(x)\) is a sign-changing weight function, \(b_{\mu}(x)\) satisfies some additional conditions, \(u H^1_A(\mathbb{R}^N)\) and \(A:\mathbb{R}^N \to \mathbb{R}^N\) magnetic potential. Exploring Bahri-Li argument preliminary...

The effect of lattice mismatch on the chemical ordering of epitaxial FePt films was studied. The results showed that the lattice constant scd of the FePt films decreased with increasing lattice mismatch « from about 2.23% to 6.33%. Upon further increase of « to about 8.8%, c increased. On the other hand, the variation of the lattice constant sad of the FePt films showed a reversal behavior to t...

| This article describes an analog neuron and synapse cell that each consist of only one Single Electron Tunneling (SET) Transistor. Simulation results show that using the Random Weight Changing Learning algorithm, a small neural network with these devices can learn the XOR function. The periodic transfer function and the random ooset charges of the transistor can successfully be dealt with by ...

this paper is concerned with the existence of multiple positive‎ ‎solutions for a quasilinear elliptic system involving concave-convex‎ ‎nonlinearities‎ ‎and sign-changing weight functions‎. ‎with the help of the nehari manifold and palais-smale condition‎, ‎we prove that the system has at least two nontrivial positive‎ ‎solutions‎, ‎when the pair of parameters $(lambda,mu)$ belongs to a certai...