‎In this paper we study the existence of nontrivial‎ solutions for a variational inequality on the half-line‎. ‎Our‎ ‎approach is based on the non-smooth critical point theory‎ ‎for Szulkin-type functionals.

The aim of this article is to establish the existence of at least three‎ ‎solutions for a perturbed $p$-biharmonic equation depending on two‎ ‎real parameters‎. ‎The approach is based on variational methods‎.

The variational approach which describes the local electron correlations at finite temperatures has been extended to the degenerate-band case. It reduces Tc in the static approximation by a factor of two, gives realistic Tc between the observed value Tc (Obs) and 2Tc (Obs) , and suppresses the temperature independent charge fluctuation in Fe and Ni. The finite-temperature theories of magnetism ...

In this paper, an analytical technique based on the global residue harmonic balance method (GRHBM) is applied in order to obtain higher-order approximate solutions of electrostatically actuated micro-beam. To illustrate applicability and accuracy method, a high level was established for by comparing results with numerical solution as well already published literature, such variational approach ...

Fluid simulation plays a key role in various domains of science including computer graphics. While most existing work addresses fluids on bounded Euclidean domains, we consider the problem of simulating the behavior of an incompressible fluid on a curved surface represented as an unstructured triangle mesh. Unlike the commonly used Eulerian description of the fluid using its time-varying veloci...

In this paper we consider a rather general optimal control problem involving ordinary differential equations with delayed arguments and a set of equality and inequality restrictions on stateand control va~iaMes. For this problem a maximum principle is given in pointwise form, using variational techniques. From this maximum principle necessary conditions are derived, as well as a Lagrange-like m...

We report results of a Monte Carlo simulation of the @4 quantum chain. In order to enhance the efficiency of the simulation we combine muItig~d simulation techniques with a refined discretization scheme. The resulting accuracy of our data allows for a significant test of an analytical approximation based on a va~ational ansatz. While the variational approximation is well reproduced for a large ...