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Figure 1 | Boundary Value Problems

Figure 1

From: Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in \(\mathbb{R}^{N}\)

Figure 1

Numerical illustration of the first even profile for \(\pmb{N=1}\) , \(\pmb{p=3}\) . The profile is shown in (A), with (B) showing the oscillatory exponentially decaying tail. (C) shows the profile over the extended domain for \(r<0\) emphasizing the symmetry of the solution. (D) shows the quantity \(u^{\prime2}+u^{\prime\prime\prime2}\), which quantifies the accuracy to which the symmetry conditions are satisfied at the origin.

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