The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 181 –
200 of
1373
We prove that minimizers of the functional , ⊂ , n ≥ 3, which satisfy the Dirichlet boundary condition on for g: → with zero topological degree, converge in and for any α<1 - upon passing to a subsequence - to some minimizing n-harmonic map. This is a generalization of an earlier result obtained for n=2 by Bethuel, Brezis, and Hélein. An example of nonunique asymptotic behaviour (which cannot occur in two dimensions if deg g = 0) is presented.
Let (x,u,∇u) be a Lagrangian periodic of period 1 in
x1,...,xn,u. We shall study the non self intersecting
functions u: RnR minimizing ; non self intersecting means that, if u(x0 + k) + j = u(x0)
for some x0∈Rn and (k , j) ∈Zn × Z, then
u(x) = u(x + k) + jx. Moser has shown that each of these
functions is at finite distance from a plane
u = ρx and thus
has an average slope ρ; moreover, Senn has proven that it is
possible to define the average action of u, which is usually called since...
We prove existence and bifurcation results for a semilinear eigenvalue problem in , where the linearization — has no eigenvalues. In particular, we show...
A bifurcation problem for the equation
in a bounded domain in with mixed boundary conditions, given nonnegative functions and a small perturbation is considered. The existence of a global bifurcation between two given simple eigenvalues of the Laplacian is proved under some assumptions about the supports of the functions . These assumptions are given by the character of the eigenfunctions of the Laplacian corresponding to .
Currently displaying 181 –
200 of
1373