# Uniqueness of solutions of the elliptic equation $\Delta u = u^5 + 2 u^3 + 3 u$

\[ \Delta u = u^5 + 2 u^3 + 3 u \qquad \text{in} \Omega, \]

with $u=0$ on $\partial \Omega$. Show that $u \equiv 0$ is the only solution.

## Answer

**Answers can be viewed only if**

- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.

The answer is accepted.

Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.

- answered
- 189 views
- $15.00

### Related Questions

- How does the traffic flow model arrive at the scaled equation?
- Show that $\Delta \log (|f(z)|)=0$, where $f(z)$ is an analytic function.
- Partial differential equations help
- Burgers’ equation $u_t + u u_x = −x $
- Integral of the fundamentla solution of the heat equation
- Optimisation Problem
- Solve the two-way wave equation in terms of $u_0$
- Can someone translate $s_j : \Omega \hspace{3pt} x \hspace{3pt} [0,T_{Final}] \rightarrow S_j \subset R$ into simple English for me?