EXISTENCE OF BOUNDARY BLOW UP SOLUTIONS FOR SINGULAR OR DEGENERATE FULLY NONLINEAR EQUATIONS

Stability of the blow-up prole of non-linear heat equations from the dynamical system point of view.. Boundedness till blow- up of the dierence between two solutions to the

Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type... Existence, blow-up and exponential decay estimates for

In the following, we will prove Proposition 2.1 and then give a sketch of the arguments of the proof of the Liouville Theorem, since they are the same as those in [MZ98a].. At

When ∂Ω satisfies the parabolic Wiener criterion and f is continuous, we construct a maximal solution and prove that it is the unique solution which blows-up at t = 0.. 1991

In the case of bounded domains, we improve her results in several directions : generality and regularity of the equation and boundary condition, possibility of obtaining results

While the global boundary control of nonlinear wave equations that exhibit blow-up is generally impossible, we show on a typical example, motivated by laser breakdown, that it

In this paper we prove the existence of a generalized eigenvalue and a cor- responding eigenfunction for fully nonlinear operators singular or degenerate, homogeneous of degree 1 + α,

Vladut in [15] have proved C 2 regularity of radial solutions for a more general class of fully nonlinear operators uniformly elliptic.. In particular for N ≤ 3 the solutions are C