GLYPH<B9>GLYPH<BC>GLYPH<BA>GLYPH<BK> GLYPH<B9>GLYPH<BC>GLYPH<BA>GLYPH<BI> GLYPH<B9>GLYPH<BC>GLYPH<BA>GLYPH<BG> GLYPH<B9>GLYPH<BC>GLYPH<BA>GLYPH<BE> GLYPH<BC> GLYPH<BC>GLYPH<BA>GLYPH<BE> GLYPH<BC>GLYPH<BA>GLYPH<BG> GLYPH<BC>GLYPH<BA>GLYPH<BI> GLYPH<BC>GLYPH<BA>GLYPH<BK> GLYPH<BC> GLYPH<BD> GLYPH<BE> GLYPH<BF> GLYPH<BG> GLYPH<BH> GLYPH<BI> GLYPH<BJ> GLYPH<BK> GLYPH<BL> φ ( y ) [ M 3 / 2 ∗ ] y [ M − 1 ∗ ] FIG. 1: Profiles in the extra dimension interval [0 , πR ] of different static configurations of the Dirichlet scalar field φ , defined by the scalar potential V ( φ ) = − 1 2 | µ $^{2}$| φ 2 + | λ | φ 4 ( µ 2 = 2 M 2 $_{∗}$, λ =1 M − 1 ∗ , πR =8 . 6375 M − 1 ∗ ). The solutions with nodes in the interval (dashed curves) are unstable, while the stability of the nodeless and trivial solutions (solid curves) depend on the parameters of the model. Under these conditions, it was shown in [40] that there will always be static solutions, nontrivial along the extra coordinate y , satisfying the (static) field equation where a prime denotes a derivative with respect to y . The profiles of these solutions, satisfy- ing Dirichlet boundary conditions, resemble that of a kink solution patched to an anti-kink in the middle of the interval. The possible solutions were classified in two groups, namely those with nodes in the interval (multiple kink-antikink solutions patched together) and those with no nodes, vanishing only at the end-points of the orbifold (see Fig. 1). It was shown that all static kink solutions with nodes are perturbatively unstable, whereas the sta- bility of nodeless solutions depends on the parameters of the model in a particularly simple way. The Dirichlet solutions of Eq. (2) with no nodes in the interval form a continuous one- parameter family of functions. A simple choice for the parameter is the amplitude A of the 4 φ ′′ − ∂V ∂φ = 0 , (2)