Page 1 Next

Displaying 1 – 20 of 42

Showing per page

Mathematical study of rotational incompressible non-viscous flows through multiply connected domains

Miloslav Feistauer (1981)

Aplikace matematiky

The paper is devoted to the study of the boundary value problem for an elliptic quasilinear second-order partial differential equation in a multiply connected, bounded plane domain under the assumption that the Dirichlet boundary value conditions on the separate components of the boundary are given up to additive constants. These constants together with the solution of the equation considered are to be determined so as to fulfil the so called trainling conditions. The results have immediate applications...

Monotonicity and symmetry of solutions of p -Laplace equations, 1 < p < 2 , via the moving plane method

Lucio Damascelli, Filomena Pacella (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present some monotonicity and symmetry results for positive solutions of the equation - div D u p - 2 D u = f u satisfying an homogeneous Dirichlet boundary condition in a bounded domain Ω . We assume 1 < p < 2 and f locally Lipschitz continuous and we do not require any hypothesis on the critical set of the solution. In particular we get that if Ω is a ball then the solutions are radially symmetric and strictly radially decreasing.

Currently displaying 1 – 20 of 42

Page 1 Next