Results 21 to 25 of about 352 (25)

Explicit 2D Infinity-Harmonic maps whose interfaces have junctions and corners [PDF]

open access: yes, 2013
Given a map $u : \Om \sub \R^n \larrow \R^N$, the $\infty$-Laplacian is the system \[ \label{1} \De_\infty u \, :=\, \Big(Du \ot Du + |Du|^2 [Du]^\bot \ \ot I \Big) : D^2 u\, = \, 0 \tag{1} \] and arises as the "Euler-Lagrange PDE" of the supremal ...
Katzourakis, Nicholas
core   +1 more source

Existence of multiple solutions for a quasilinear elliptic problem

open access: yes, 2016
In this paper we prove the existence of multiple solutions for a quasilinear elliptic boundary value problem, when the p-derivative at zero and the p-derivative at infinity of the nonlinearity are greater than the first eigenvalue of the p-Laplace ...
Cossio, Jorge   +2 more
core  

On problems in the calculus of variations in increasingly elongated domains

open access: yes, 2018
We consider minimization problems in the calculus of variations set in a sequence of domains the size of which tends to infinity in certain directions and such that the data only depend on the coordinates in the directions that remain constant.
Dret, Hervé Le, Mokrane, Amira
core  

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