Equations of evolution on the Heisenberg group I

Nonexistence of Global Solutions of Some Nonlinear Space-nonlocal Evolution Equations on the Heisenberg Group

This article presents necessary conditions for the existence of weak solutions of the following space-nonlocal evolution equations on H× (0, +∞), where H is the Heisenberg group: ∂2u ∂t2 + (−∆H)|u| = |u|, ∂u ∂t + (−∆H)|u| = |u|, ∂2u ∂t2 + (−∆H)|u| + ∂u ∂t = |u|, p ∈ R, p > 1, m ∈ N. Moreover, the life span for each equation is estimated under some suitable conditions. Our method of proof is bas...

On Fully Nonlinear Cr Invariant Equations on the Heisenberg Group

In this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclidean setting by A. Li and the first author in [21]. We also prove a comparison principle for solutions of second order fully nonlinear CR invariant equations defined on bounded domains of the Heisenbe...

Subelliptic equations with singular nonlinearities on the Heisenberg group

Multiplicity of Solutions of Quasilinear Subelliptic Equations on Heisenberg Group

In this paper, a class of quasilinear elliptic equations on the Heisenberg Group is concerned. Under some suitable assumptions, by virtue of the nonsmooth critical point theory, the existence of infinitely many weak solutions of the problems is obtained. Mathematics Subject Classification: 35J20, 35J25, 65J67

formation and evolution of regional organizations: the case study of the economic cooperation organization (eco)

abstract because of the many geopolitical, geo economical and geo strategically potentials and communicational capabilities of eco region, members can expand the convergence and the integration in base of this organization that have important impact on members development and expanding peace in international and regional level. based on quality analyzing of library findings and experts interv...