We consider the asymptotic profiles of the nonlinear parabolic flows ut= Δum to show the
geometric properties of the following elliptic nonlinear eigenvalue problems: posed in a …

In this paper we study convexity properties for quasilinear Lane-Emden-Fowler equations of
the type $$\begin {cases}-\Delta_p u= a (x) u^ q &\quad\hbox {in $\Omega $},\\u> 0 …

In the present paper, we investigate the stability results of positive weak solution for the
generalized Fisher–Kolmogoroff nonlinear stationary-state problem involving weighted p …

We investigate the stability properties of positive steady-state solutions of semilinear initial–
boundary-value problems with nonlinear boundary conditions. In particular, we employ a …

EXISTENCE AND STABILITY OF POSITIVE WEAK SOLUTIONS FOR A CLASS OF
CHEMICALLY REACTING SYSTEMS 1. Introduction In the present art Page 1 DOI …

In this paper, we investigate the stability of positive weak solution for the singular p-
Laplacian nonlinear system $-div [{\mid} x {\mid}^{-ap}{\mid}{\nabla} u {\mid}^{p-2}{\nabla} …

The exact number of positive solutions of a degenerate quasilinear two-point boundary
value problem is investigated. For the generalization of earlier results concerning the non …

We investigate the stability of non-negative stationary solutions of symmetric cooperative
semilinear systems with some convex (resp. concave) nonlinearity condition, namely all …

C open parenthesis open square bracket minus r comma 0 closing square bracket comma R
closing parenthesis is defined as u sub t open parenthesis x closing parenthesis open …

We study the stability of non-negative stationary solutions ofwhere Δp denotes the p-
Laplacian operator defined by Δpz= div (∣∇ z∣ p− 2∇ z); p> 2, Ω is a bounded domain in …