in this paper‎, ‎we prove a multiplicity result for some biharmonic elliptic equation of kirchhoff type and involving nonlinearities with critical exponential growth at infinity‎. ‎using some variational arguments and exploiting the symmetries of the problem‎, ‎we establish a multiplicity result giving two nontrivial solutions‎.

Time-resolved (CW) EPR spectroscopy at X-band has been used to detect free radicals created by H-atom abstraction reactions of photochemically generated carbenes in n-hexadecane solutions at room temperature. Three different carbenes were studied, formed via loss of nitrogen after photo-excitation of a substituted biphenyl diazo precursor. The TREPR signals from two different alkyl radicals and...

Abstract. We extend our earlier work in [TZ1], where an analytic approach to the GuilleminSternberg conjecture [GS] was developed, to cases where the Spin-complex under consideration is allowed to be further twisted by certain exterior power bundles of the cotangent bundle. The main result is a weighted quantization formula in the presence of commuting Hamiltonian actions. The corresponding Mor...

Negative ions differ from neutral molecules and cations in various aspects. Small electron binding energies, which are associated with the small electron affinities of the corresponding neutral molecules, the finite number of bound electronic states, the frequently observed high sensitivity of the electron binding on the molecular geometry should be especially noted. These and several other fea...

We explore certain properties of the Hartree-Fock approximation to ground state two-dimensional Hubbard model, emphasizing fact that in Hartree approach there is an enormous multiplicity self-consistent solutions which are nearly degenerate energy, reminiscent a spin glass, but may differ substantially other bulk properties. It argued this physically relevant at low temperatures. study localiza...

in a typical solitonic distribution, the soliton density is distributed over the entire moleculeand the present work shows how its density can be decomposed into solitonic and antisolitoniccomponents. it is found that there exists a unique electron as soliton over the anionicnanoconductor, while there are many other solitons and antisolitons. the solitonic states are furtherdecomposed to the ca...