We establish qualitative results of Phragmèn-Lindelöf type for upper semicontinuous viscosity solutions of fully nonlinear partial differential inequalities of the second order in general unbounded domains of IR.

We prove two different types of comparison results between semicontinuous viscosity suband supersolutions of the generalized Dirichlet problem (in the sense of viscosity solutions theory) for quasilinear parabolic equations: the first one is an extension of the Strong Comparison Result obtained previously by the second author for annular domains, to domains with a more complicated geometry. The...

We study the \generalized" Dirichlet problem (in the sense of viscosity solutions) for quasilinear elliptic and parabolic equations in the case when losses of boundary conditions can actually occur. We prove for such problems comparison results between semicontinuous viscosity sub-and supersolutions (Strong Comparison Principle) in annular domains. As a consequence of the Strong Comparison Prin...

in this paper to predict the critical conditions for onset of elastic-plastic wrinkling of flange of a two-layered circular blank during the deep-drawing process a closed-form semi-analytical elastic-plastic solution using tresca yield criterion alongwith deformation theory in plasticity with considernig the perfectly plastic behaviour of materials is presented. simplifying the presented soluti...

A branch-and-bound procedure for the global solution of smooth, nonlinear SIPs has been developed. An upper-bounding problem is constructed using an inclusionconstrained reformulation of the infinite set of constraints, and a convex lowerbounding problem is derived from a discretized approximation of the SIP. Results are provided for a number of problems in the SIP literature.

The Bethe–Salpeter equation for bound states of a fermion–antifermion pair in the instantaneous approximation for the involved interaction kernel is converted into an equivalent matrix eigenvalue problem with explicitly (algebraically) given matrices. PACS numbers : 11.10.St, 03.65.Ge ∗ E-mail address : [email protected] ‡ E-mail address : [email protected] † E-mail address : franz.schoebe...

We obtain the uniqueness of lower semicontinuous (lsc for short) viscosity solutions of the transformed minimum time problem assuming that they converge to zero on a \reachable" part of the target in appropriate directions. We present a counterexample which shows that the uniqueness does not hold without this convergence assumption. It was shown by Soravia that the uniqueness of lsc viscosity s...